# Go Math Grade 3 Chapter 12 Answer Key Pdf Two-Dimensional Shapes

## Two-Dimensional Shapes Go Math Grade 3 Chapter 12 Answer Key Pdf

The practice is the only way to get knowledge. So, solving simple tricks and techniques will lead the students to get high grades. Go Math Grade 3 Answer Key Chapter 12 is a one-stop solution for learning problem-solving skills. Easy learning and fast solving will comes at the same place by using Go Math Grade 3 Answer Key Chapter 12 Two-Dimensional Shapes.

### Describe Plane Shapes – Page No. 701

Write how many line segments the shape has.

Question 1.

4 line segments

4 line segments

Explanation:

Question 2.

________ line segments

6 line segments

Explanation:

Question 3.

________ line segments

8 line segments

Explanation:

Question 4.

________ line segments

5 line segments

Explanation:

Write whether the shape is open or closed.

Question 5.

________

Open

Explanation:
The given shape does not start and ends at the same point. So, the shape is open.

Question 6.

________

Closed

Explanation:
The given shape started and ends at the same point. So, the shape is closed.

Problem Solving

Question 7.
Carl wants to show a closed shape in his drawing. Show and explain how to make the drawing a closed shape.

Type below:
___________

Add a fourth line segment, so the shape starts and ends at the same point.

Explanation:
Add a fourth line segment, so the shape starts and ends at the same point.

Question 8.
The shape of a fish pond at a park is shown below. Is the shape open or closed?

________

Closed

Explanation:
The given shape started and ends at the same point. So, the shape is closed.

### Describe Plane Shapes – Page No. 702

Lesson Check

Question 1.
How many line segments does this shape have?

Options:
a. 2
b. 3
c. 4
d. 5

d. 5

Explanation:

Question 2.
Which of these is part of a line, has one endpoint, and continues in one direction?
Options:
a. ray
b. line
c. line segment
d. point

a. ray

Explanation:
The line has one endpoint and continues in one direction is called a ray.

Spiral Review

Question 3.
What multiplication sentence does the array show?

Options:
a. 3 × 8 = 24
b. 4 × 8 = 32
c. 8 × 5 = 40
d. 4 × 9 = 36

b. 4 × 8 = 32

Explanation:
There are 4 rows and 8 columns available. 4 x 8 = 32 is the answer.

Question 4.
What is the unknown factor and quotient?
9 × ■ = 27
27 ÷ 9 = ■
Options:
a. 3
b. 4
c. 5
d. 6

a. 3

Explanation:
9 x 3 = 27.
27 ÷ 9 = 3.

Question 5.
Which fraction is equivalent to $$\frac{4}{8}$$?

Options:
a. $$\frac{3}{4}$$
b. $$\frac{1}{2}$$
c. $$\frac{1}{4}$$
d. $$\frac{1}{8}$$

b. $$\frac{1}{2}$$

Explanation:
$$\frac{4}{8}$$ = b. $$\frac{1}{2}$$.

Question 6.
Mr. MacTavish has 30 students from his class going on a field trip to the zoo. He is placing 6 students in each group. How many groups of students from Mr. MacTavish’s class will be going to the zoo?
Options:
a. 5
b. 6
c. 7
d. 36

a. 5

Explanation:
1 group = 6 students.
6 x number of groups = 30 students.
6 x s = 30.
s = 30 ÷ 6
s = 5.
5 groups of students from Mr. MacTavish’s class will be going to the zoo.

### Describe Angles in Plane Shapes – Page No. 707

Use the corner of a sheet of paper to tell whether the angle is a right angle, less than a right angle, or greater than a right angle.

Question 1.

less than a right angle

less than a right angle

Question 2.

________

Right Angle:

Question 3.

________

Greater than a right angle

Write how many of each type of angle the shape has.

Question 4.

________ right
________ less than a right
________ greater than a right

4 right
0 less than a right
0 greater than a right

Explanation:

4 right Angles.
0 less than right angles.
0 greater than right angles.

Question 5.

________ right
________ less than a right
________ greater than a right

0 right
0 less than a right
5 greater than a right

Explanation:

0 right Angles
0 less than right angles
5 greater than right angles

Question 6.

________ right
________ less than a right
________ greater than a right

2 right
0 less than a right
4 greater than a right

Explanation:

2 right angles.
0 less than right angles
4 greater than right angles.

Problem Solving

Question 7.
Jeff has a square piece of art paper. He cuts across it from one corner to the opposite corner to make two pieces. What is the total number of sides and angles in both of the new shapes?
________ sides
________ angle

The new shape has 6 sides and 6 angles

Explanation:

The new shape has 6 sides and 6 angles

Question 8.
Kaylee tells Aimee that the shape of a stop sign has at least one right angle. Aimee says that there are no right angles. Who is correct? Explain.

________

Explanation:

All the angles are greater than a right angle. Aimee’s answer is correct.

### Describe Angles in Plane Shapes – Page No. 708

Lesson Check

Question 1.
What describes this angle?

Options:
a. right angle
b. less than a right angle
c. greater than a right angle
d. small angle

c. greater than a right angle

Explanation:
The given shape has the greater angle than the right angle. So, the answer is greater than a right angle.

Question 2.
How many right angles does this shape have?

Options:
a. 1
b. 2
c. 3
d. 4

c. 3

Explanation:

Spiral Review

Question 3.
What fraction of the group is shaded?

Options:
a. $$\frac{5}{6}$$
b. $$\frac{1}{3}$$
c. $$\frac{1}{6}$$
d. $$\frac{1}{8}$$

c. $$\frac{1}{6}$$

Explanation:
There are 6 circles. And one circle is shaded out of 6 circles. So, answer is $$\frac{1}{6}$$.

Question 4.
Compare.
$$\frac{4}{8}$$ _____ $$\frac{3}{8}$$
Options:
a. >
b. <
c. =
d. ÷

a. >

Explanation:
Given fractions have the same denominators. So, compare numerators to get the answer.
4 > 3. The answer is $$\frac{4}{8}$$ > $$\frac{3}{8}$$.

Question 5.
Which of the following does NOT describe a line segment?
Options:
a. does not end
b. is straight
c. is part of a line
d. has 2 endpoints

a. does not end

Explanation:
The line segment is a straight line that has two end points. a. does not end not describes a line segment.

Question 6.
How many line segments does this shape have?

Options:
a. 5
b. 6
c. 7
d. 8

c. 7

Explanation:

### Identify Polygons – Page No. 713

Is the shape a polygon? Write yes or no.

Question 1.

no

No

Explanation:
No, The given image doesn’t have line segments.

Question 2.

_____

Yes

Explanation:
Yes, A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side.

Question 3.

_____

No

Explanation:
No, the given shape is an open shape. It is not a polygon.

Question 4.

_____

No

Explanation:
No, it has a curved path. So, the given shape is not a polygon.

Write the number of sides and the number of angles. Then name the polygon.

Question 5.

_______ sides
_______ angles
_______

6 sides; 6 angles; hexagon

Explanation:

Question 6.

_______ sides
_______ angles
_______

Explanation:

Problem Solving

Question 7.
Mr. Murphy has an old coin that has ten sides. If its shape is a polygon, how many angles does the old coin have?
_______ angles

10 angles

Explanation:
Given that the shape has ten sides. So, the old coin will have 10 angles.

Question 8.
Lin says that an octagon has six sides. Chris says that it has eight sides. Whose statement is correct?
_______ statement

Chris’s statement is correct.

Explanation:
Chris’s statement is correct. An octagon has eight sides.

### Identify Polygons – Page No. 714

Lesson Check

Question 1.
Which is a name for this polygon?

Options:
a. hexagon
b. octagon
d. pentagon

Explanation:

It has 4 sides and 4 angles. The name of the polygon is quadrilateral.

Question 2.
How many sides does this polygon have?

Options:
a. 4
b. 5
c. 6
d. 7

c. 6

Explanation:

Spiral Review

Question 3.
How many right angles does this shape have?

Options:
a. 4
b. 3
c. 2
d. 0

a. 4

Explanation:

Question 4.
Erica has 8 necklaces. One fourth of the necklaces are blue. How many necklaces are blue?
Options:
a. 2
b. 3
c. 4
d. 8

a. 2

Explanation:
Erica has 8 necklaces. One-fourth of the necklaces are blue. So, 2 necklaces are blue.

Question 5.
Which of these is straight, is part of a line, and has 2 endpoints?
Options:
a. line
b. line segment
c. point
d. ray

b. line segment

Question 6.
What describes this angle?

Options:
a. greater than a right angle
b. large angle
c. less than a right angle
d. right angle

c. less than a right angle

### Unlock the Problem – Page No. 715

Question 1.
Look at the polygon. How many pairs of sides are parallel?

________ pair(s)

1 pair of sides are parallel

Question 2.
How do you know the shape is a polygon?
Type below:
___________

A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side.

Question 3.
Lines that cross or meet are intersecting lines. Intersecting lines form angles.

Either less than the right angle or more than the right angle.

Question 4.

The orange and blue line segments meet and form an angle. So, they are __________________
___________

Intersecting lines

Question 5.
Intersecting lines that cross or meet to form right angles are perpendicular lines.

90 degrees

Question 6.

The red and blue line segments meet to form a right angle. So, they are ________________
___________

Perpendicular lines

Question 7.
Lines that never cross or meet and are always the same distance apart are parallel lines. They do not form any angles.

So, the polygon above has _ pair of parallel sides
_________ pair(s)

The polygon has 1 pair of parallel sides

Question 8.

The green and blue line segments would never cross or meet. They are always the same distance apart. So, they appear to be _________________
_________

Parallel lines

### Describe Sides of Polygons – Page No. 719

Look at the dashed sides of the polygon. Tell if they appear to be intersecting, perpendicular, or parallel. Write all the words that describe the sides.

Question 1.

parallel

parallel lines

Explanation:
The dashed sides are not intersecting with each other. So, the given lines are parallel lines.

Question 2.

_______
_______

perpendicular lines

Explanation:
The dashed sides are meeting to form a right angle. So, they are perpendicular lines.

Question 3.

_______

intersecting lines

Explanation:
The dashed line segments meet and form an angle. So, they are intersecting lines.

Question 4.

_______

intersecting lines

Explanation:
The dashed line segments meet and form an angle. So, they are intersecting lines.

Question 5.

_______
_______

perpendicular lines

Explanation:
The dashed line segments meet to form a right angle. So, they are perpendicular lines.

Question 6.

_______

parallel lines

Explanation:
The dashed line segments would never cross or meet. They are always the same distance apart. So, they are parallel lines.

Question 7.

_______

parallel lines

Explanation:
The dashed line segments would never cross or meet. They are always the same distance apart. So, they are parallel lines.

Question 8.

_______

intersecting lines

Explanation:
The dashed line segments meet and form an angle. So, they are intersecting lines.

Question 9.

_______
_______

perpendicular lines

Explanation:
The dashed line segments meet to form a right angle. So, they are perpendicular lines.

Problem Solving

Use shapes A–D for 10–11.

Question 10.
Which shapes appear to have parallel sides?
_______ ; _______ ; _______

A, C, D

Explanation:
A, C, D have lines that appear to never meet and are always the same distance apart. So, they have parallel lines.

Question 11.
Which shapes appear to have perpendicular sides?
_______ ; _______

B, C

Explanation:
B, C have lines that meet to form right angles. So, they have perpendicular sides.

### Describe Sides of Polygons – Page No. 720

Lesson Check

Question 1.
How many pairs of parallel sides does the quadrilateral appear to have?

Options:
a. 1
b. 2
c. 3
d. 4

b. 2

Explanation:

Side a and a are one pair of parallel lines.
Side b and b are one pair of parallel lines.
The quadrilateral has 2 pairs of parallel sides.

Question 2.
Which sides appear to be parallel?

Options:
a. a and c only
b. b and d only
c. a and b, c and d
d. a and c, b and d

d. a and c, b and d

Explanation:
a and c are parallel lines. They appear to never meet and are always the same distance apart. They do not form any angles.
Similarly, b and d are parallel lines.

Spiral Review

Question 3.
Mr. Lance designed a class banner shaped like the polygon shown. What is the name of the polygon?

Options:
a. pentagon
b. octagon
c. hexagon
d. decagon

a. pentagon

Explanation:

The polygon has 5 sides and 5 angles. So, the given polygon is a pentagon.

Question 4.
How many angles greater than a right angle does this shape have?

Options:
a. 0
b. 1
c. 2
d. 3

b. 1

Explanation:

One angle is greater than the right angles.

Question 5.
How many line segments does this shape have?

Options:
a. 6
b. 7
c. 8
d. 9

c. 8

Explanation:

The given shape has 8 line segments.

Question 6.
Which fraction names the shaded part?

Options:
a. $$\frac{1}{3}$$
b. $$\frac{1}{4}$$
c. $$\frac{1}{6}$$
d. $$\frac{5}{6}$$

c. $$\frac{1}{6}$$

Explanation:
The given image has 6 parts. 1 part is shaded out of 1 part. The answer is $$\frac{1}{6}$$

### Mid -Chapter Checkpoint – Page No. 721

Vocabulary

Choose the best term from the box to complete the sentence.

Question 1.
An __________ is formed by two rays that share an endpoint.
__________

Angle

Explanation:

Question 2.
A _____________ is a closed plane shape made up of line segments.
________

Polygon

Question 3.
A ____________ forms a square corner.
________

Right Angle

Concepts and Skills

Use the corner of a sheet of paper to tell whether the angle is a
right angle, less than a right angle, or greater than a right angle.

Question 4.

________

less than a right angle

Question 5.

________

right angle

Question 6.

________

greater than a right angle

Write the number of sides and the number of angles.
Then name the polygon.

Question 7.

________ sides
________ angles
________

6 sides; 6 angles

Explanation:

6 sides; 6 angles

Question 8.

________ sides
________ angles
________

4 sides; 4 angles

Explanation:

4 sides; 4 angles

Question 9.

________ sides
________ angles
________

5 sides; 5 angles

Explanation:

5 sides; 5 angles

### Mid -Chapter Checkpoint – Page No. 722

Question 10.
Anne drew the shape at the right. Is her shape an open shape or a closed shape?

________

Closed Shape

Explanation:
The given shape started and ends at the same point. So, the shape is closed.

Question 11.
This sign tells drivers there is a steep hill ahead. Write the number of sides and the number of angles in the shape of the sign. Then name the shape.

________ sides
________ angles
________

4 sides; 4 angles

Explanation:

4 sides; 4 angles

Question 12.
Why is this closed plane shape NOT a polygon?

Type below:
________

2 × 5 = 10

Explanation:
The given shape started and ends at the same point. So, the shape is closed. A polygon is made up of line segments that meet only at their endpoints. So, the given shape is not a polygon.

Question 13.
Sean drew a shape with 2 fewer sides than an octagon. Which shape did he draw?
________

pentagon

Explanation:
octagon has 8 sides.
2 + 8 = 10 sides

Question 14.
John drew a polygon with two line segments that meet to form a right angle. Circle the words that describe the line segments.

Type below:
________

perpendicular

### Classify Quadrilaterals – Page No. 727

Click all the words that describe the quadrilateral.

Question 1.

Square; Rectangle; Rhombus

Question 2.

Options:
a. square
b. rectangle
c. rhombus
d. trapezoid

b. rectangle

Explanation:
The given shape has two pairs opposite with the same length. Also, all the angles are right angles. The given shape is a rectangle.

Question 3.

Options:
a. square
b. rectangle
c. rhombus
d. trapezoid

d. trapezoid

Explanation:
Even though the given shape has four sides, they are not equal. Also, it has only two right angles. The given shape is a trapezoid.

Use the quadrilaterals below for 4–6.

Question 4.
Which quadrilaterals appear to have no right angles?
______ ; ______ ; ______

B, D, and E

Explanation:
B, D, E don’t have right angles.

Question 5.
Which quadrilaterals appear to have 4 right angles?
______ ; ______

A and C

Explanation:
A and C both shapes have right angles.

Question 6.
Which quadrilaterals appear to have 4 sides of equal length?
______ ; ______ ; ______

B, C, and D

Explanation:
The B, C, and D have all the equal lengths.

Problem Solving

Question 7.
A picture on the wall in Jeremy’s classroom has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel. What quadrilateral best describes the picture?
_______

Square

Explanation:
A square has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel.

Question 8.
Sofia has a plate that has 4 sides of equal length, 2 pairs of opposite sides that are parallel, and no right angles. What quadrilateral best describes the plate?
_________

rhombus

Explanation:
A rhombus has 4 sides of equal length, 2 pairs of opposite sides that are parallel, and no right angles.

### Classify Quadrilaterals – Page No. 728

Lesson Check

Question 1.

Options:
a. square
b. trapezoid
c. rhombus
d. rectangle

b. trapezoid

Explanation:
The given quadrilateral doesn’t have right angles. So, it is not a square and a rectangle. Also, the quadrilateral doesn’t have equal sides. So, it is not a rhombus.

Question 2.
Which quadrilaterals appear to have 2 pairs of opposite sides that are parallel?

Options:
a. A and B
b. A, B, and C
c. A only
d. B only

a. A and B

Explanation:
The A and B shapes have 2 pairs of opposite sides that are parallel.

Spiral Review

Question 3.
Aiden drew the polygon shown. What is the name of the polygon he drew?

Options:
a. decagon
b. hexagon
c. octagon
d. pentagon

a. decagon

Explanation:

10 sides; 10 angles

Question 4.
How many pairs of parallel sides does this shape appear to have?

Options:
a. 4
b. 2
c. 1
d. 0

b. 2

Explanation:

Side a and a are one pair of parallel lines.
Side b and b are one pair of parallel lines.
The quadrilateral has 2 pairs of parallel sides.

Question 5.
What word describes the dashed sides of the shape shown?

Options:
a. intersecting
b. parallel
c. perpendicular
d. right

b. parallel

Explanation:
The dashed sides of the shape would never cross or meet. They are always the same distance apart. So, they appear to be parallel lines.

Question 6.
How many right angles does this shape have?

Options:
a. 0
b. 1
c. 2
d. 3

a. 0

Explanation:
There are no right angles available for the given shape.

### Draw Quadrilaterals – Page No. 733

Draw a quadrilateral that is described.

Question 1.
4 sides of equal length

square

Explanation:
A square has four equal sides and four equal angles

Question 2.
1 pair of opposite sides that are parallel

_________

trapezoid

Explanation:

trapezoid

Draw a quadrilateral that does not belong.
Then explain why.

Question 3.

Explanation:
The shape is a trapezoid. It has only 1 pair of opposite sides that are parallel. The 3 quadrilaterals shown have 2 pairs of sides that are parallel.

Problem Solving

Question 4.
Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides that are parallel. Name the quadrilateral she could have drawn.
_________

square or rectangle

Explanation:
The square or rectangle has 4 right angles and 2 pairs of opposite sides that are parallel.

Question 5.
Victor drew a quadrilateral with no right angles and 4 sides of equal length. What quadrilateral could Victor have drawn?
_________

rhombus.

Explanation:
A rhombus has no right angles and 4 sides of equal length.

### Draw Quadrilaterals – Page No. 734

Lesson Check

Question 1.
Chloe drew a quadrilateral with 2 pairs of opposite sides that are parallel. Which shape could NOT be Chloe’s quadrilateral?
Options:
a. rectangle
b. rhombus
c. square
d. trapezoid

d. trapezoid

Explanation:
A trapezoid will have only one pair of parallel lines.

Question 2.
Mike drew a quadrilateral with four right angles. Which shape could he have drawn?
Options:
a. rectangle
b. hexagon
c. trapezoid
d. triangle

a. rectangle

Explanation:
A rectangle will have four right angles.

Spiral Review

Question 3.
A quadrilateral has 4 right angles and 4 sides of equal length. What is the name of the quadrilateral?
Options:
a. pentagon
b. square
c. trapezoid
d. hexagon

b. square

Explanation:
A square has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel.

Question 4.
Mark drew two lines that form a right angle. Which word describes the lines Mark drew?
Options:
a. perpendicular
b. parallel
c. acute
d. obtuse

a. perpendicular

Explanation:
Intersecting lines that cross or meet to form right angles are perpendicular lines.

Question 5.
Dennis drew the rectangle on grid paper. What is the perimeter of the rectangle Dennis drew?

Options:
a. 7 units
b. 12 units
c. 14 units
d. 15 units

b. 12 units

Explanation:

3 + 3 + 3 + 3 = 12 units.

Question 6.
Jill drew the rectangle on grid paper. What is the area of the rectangle Jill drew?

Options:
a. 12 square units
b. 15 square units
c. 16 square units
d. 18 square units

b. 15 square units

Explanation:

5 x 3 = 15 square units.

### Describe Triangles – Page No. 739

Use the triangles for 1–3. Write A, B, or C.
Then complete the sentences.

Question 1.
Triangle B has 3 angles less than a right angle and
appears to have 3 sides of equal length.

B

Question 2.
Triangle _________ has 1 right angle and appears to have
_________ sides of equal length.

Triangle C has 1 right angle and appears to have 0 sides of equal length.

Question 3.
Triangle _________ has 1 angle greater than a right angle and appears to have
_________ sides of equal length.

Triangle A has 1 angle greater than a right angle and appears to have 2 sides of equal length.

Question 4.
Kyle, Kathy, and Kelly each drew a triangle. Who drew the triangle that has 1 angle greater than a right angle and appears to have no sides of equal length?

_________

Kathy

Explanation:
Kathy triangle has 1 angle greater than a right angle and has no sides of equal length.

Problem Solving

Question 5.
Matthew drew the back of his tent. How many sides appear to be of equal length?

_________ sides

2 sides

Explanation:

a and b are 2 sides have equal lengths.

Question 6.
Sierra made the triangular picture frame shown. How many angles are greater than a right angle?

_________

0

Explanation:

0 angles are greater than a right angle.

### Describe Triangles – Page No. 740

Lesson Check

Question 1.
How many angles less than a right angle does this triangle have?

Options:
a. 0
b. 1
c. 2
d. 3

d. 3

Explanation:

3 angles less than a right angle.

Question 2.
How many sides of equal length does this triangle appear to have?

Options:
a. 0
b. 1
c. 2
d. 3

c. 2

Explanation:
The two lines forming the right angle are equal in length.

Spiral Review

Question 3.
A quadrilateral has 4 right angles and 2 pairs of opposite sides that are parallel. Which quadrilateral could it be?
Options:
a. trapezoid
b. hexagon
c. triangle
d. rectangle

d. rectangle

Explanation:
A rectangle has 4 right angles and 2 pairs of opposite sides that are parallel.

Question 4.
Mason drew a quadrilateral with only one pair of opposite sides that are parallel. Which quadrilateral did Mason draw?
Options:
a. square
b. rhombus
c. trapezoid
d. rectangle

c. trapezoid

Explanation:
A trapezoid will have only one pair of opposite sides that are parallel.

Question 5.
Which shape has an area of 8 square units and a perimeter of 12 units?
Options:
a.
b.
c.
d.

a

Explanation:
a. Area = 2 x 4 = 8 square units; Perimeter = 2 + 4 + 2 + 4 = 12 units.

Question 6.
What fraction of the square is shaded?

Options:
a. $$\frac{3}{5}$$
b. $$\frac{5}{3}$$
c. $$\frac{3}{8}$$
d. $$\frac{8}{5}$$

c. $$\frac{3}{8}$$

Explanation:
The image has 8 parts. 3 parts are shaded out of 8 parts. So, $$\frac{3}{8}$$ is the answer.

### Problem Solving Classify Plane Shapes – Page No. 745

Solve each problem.

Question 1.
Steve drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

Question 2.
Janice drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

Question 3.
Beth drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

### Problem Solving Classify Plane Shapes – Page No. 746

Lesson Check

Question 1.
Which shape would go in the section where the two circles overlap?
Options:
a. triangle
b. trapezoid
c. square
d. hexagon

c. square

Explanation:
A square is a rectangle with equal lengths of all sides.

Question 2.
Which shape could NOT go in the circle labeled All Sides of Equal Length?
Options:
a. rhombus
b. trapezoid
c. square
d. triangle

b. trapezoid

Explanation:
A trapezoid will not have All Sides of Equal Length.

Spiral Review

Question 3.
How many angles greater than a right angle does this triangle have?

Options:
a. 0
b. 1
c. 2
d. 3

b. 1

Explanation:

1 angle is greater than a right angle.

Question 4.
How many sides of equal length does this triangle appear to have?

Options:
a. 0
b. 1
c. 2
d. 3

d. 3

Explanation:
The triangle appears to have 3 sides of equal length.

Question 5.
Madison drew this shape. How many angles less than a right angle does it have?

Options:
a. 0
b. 1
c. 3
d. 5

a. 0

Explanation:

0

Question 6.
How many dots are in $$\frac{1}{2}$$ of this group?

Options:
a. 6
b. 8
c. 9
d. 18

c. 9

Explanation:
9 dots are in $$\frac{1}{2}$$ of this group.

### Relate Shapes, Fractions, and Area – Page No. 751

Draw lines to divide the shape into equal parts that show the fraction given.

Question 1.

$$\frac{1}{3}$$

$$\frac{1}{3}$$

Question 2.

$$\frac{1}{8}$$

Question 3.

$$\frac{1}{2}$$

Draw lines to divide the shape into parts with equal area. Write the area of each part as a unit fraction.

Question 4.

4 equal parts
$$\frac{□}{□}$$

$$\frac{1}{4}$$

Question 5.

6 equal parts
$$\frac{□}{□}$$

$$\frac{1}{6}$$

Question 6.

3 equal parts
$$\frac{□}{□}$$

$$\frac{1}{3}$$

Problem Solving

Question 7.
Robert divided a hexagon into 3 equal parts. Show how he might have divided the hexagon. Write the fraction that names each part of the whole you divided.

$$\frac{□}{□}$$

$$\frac{1}{3}$$

Question 8.
Show how you might divide the shape into 8 equal parts. What fraction names the area of each part of the divided shape?

$$\frac{□}{□}$$

$$\frac{1}{8}$$

### Relate Shapes, Fractions, and Area – Page No. 752

Lesson Check

Question 1.
What fraction names each part of the divided whole?

Options:
a. $$\frac{1}{2}$$
b. $$\frac{1}{3}$$
c. $$\frac{1}{4}$$
d. $$\frac{1}{6}$$

b. $$\frac{1}{3}$$

Explanation:

The shape has 3 parts. One part is shaded out of 3.

Question 2.
What fraction names the whole area that was divided?

Options:
a. $$\frac{1}{8}$$
b. $$\frac{1}{2}$$
c. $$\frac{8}{8}$$
d. $$\frac{8}{1}$$

c. $$\frac{8}{8}$$

Explanation:

8 parts are shaded out of 8 parts. So, $$\frac{8}{8}$$ is the answer.

Spiral Review

Question 3.
Lil drew the figure below. Which word does NOT describe the shape?

Options:
a. plane shape
b. closed shape
c. open shape
d. curved path

c. open shape

Explanation:
The given shape is started and ended at the same point. So, it is not an open shape.

Question 4.
How many line segments does this shape have?

Options:
a. 6
b. 5
c. 4
d. 3

b. 5

Explanation:

5

Use the Venn diagram for 5–6.

Question 5.
Which shape would go in the section where the two circles overlap?
Options:
a. triangle
b. square
c. trapezoid
d. pentagon

b. square

Explanation:
A square have right angles and all sides with equal lengths.

Question 6.
Which shape could NOT go in the circle labeled All Sides of Equal Length?
Options:
a. square
b. rhombus
c. triangle
d. rectangle

d. rectangle

Explanation:
A rectangle doesn’t have All Sides of Equal Length.

### Review/Test – Page No. 753

Question 1.
Which words describe this shape? Mark all that apply.

Options:
a. polygon
b. open shape
c. pentagon

a. polygon
c. pentagon

Explanation:

A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side. So, the shape is a polygon. Also, the shape has five sides and five angles. So, it is a pentagon.

Question 2.
Umberto drew one side of a quadrilateral with 4 equal sides and no right angles. Draw the other 3 sides to complete Umberto’s shape.

Type below:
____________

Question 3.
Mikael saw a painting that included this shape.

For numbers 3a–3d, select True or False for each statement about the shape.
a. The shape has no right angles.
i. True
ii. False

ii. False

Question 3.
b. The shape has 2 angles greater than a right angle.
i. True
ii. False

ii. False

Question 3.
c. The shape has 2 right angles.
i. True
ii. False

i. True

Question 3.
d. The shape has 1 angle greater than a right angle.
i. True
ii. False

i. True

### Review/Test – Page No. 754

Question 4.
Fran used a Venn Diagram to sort shapes.

Part A
Draw another plane shape that belongs inside the left circle of the diagram but NOT in the section where the circles overlap.
Type below:
____________

Question 4.
Part B
How can you describe the shapes in the section where the circles overlap?
Type below:
____________

The shapes in the circle overlap are polygons with right angles. Also, those shapes have 4 sides and 4 angles named as quadrilaterals.

Question 5.
Match each object in the left column with its name in the right column.

Type below:
____________

Question 6.
Describe the angles and sides of this triangle.

Type below:
____________

The triangle has 3 sides of equal length. Also, the triangle has 3 angles with less than a right angle.

### Review/Test – Page No. 755

Question 7.
Which words describe this shape. Mark all that apply.

Options:
a. rectangle
b. rhombus
d. square

a. rectangle
d. square

Explanation:
The given shape is a square or rectangle with 4 sides and 4 angles.

Question 8.
Divide each shape into the number of equal parts shown. Then write the fraction that describes each part of the whole.

Type below:
____________

$$\frac{1}{3}$$
$$\frac{1}{6}$$
$$\frac{1}{8}$$

Explanation:

$$\frac{1}{3}$$
$$\frac{1}{6}$$
$$\frac{1}{8}$$

Question 9.
Han drew a triangle with 1 angle greater than a right angle.
For numbers 9a–9d, choose Yes or No to tell whether the triangle could be the triangle Han drew.
a.
i. yes
ii. no

ii. no

Explanation:
It has all the angles less than a right angle.

Question 9.
b.
i. yes
ii. no

ii. no

Explanation:
It has one right angle and two angles with less than a right angle.

Question 9.
c.
i. yes
ii. no

i. yes

Explanation:
It has one angle greater than a right angle

Question 9.
d.
i. yes
ii. no

i. yes

Explanation:
It has one angle greater than a right angle

### Review/Test – Page No. 756

Question 10.
Look at this group of pattern blocks.

Part A
Sort the pattern blocks by sides. How many groups did you make? Explain how you sorted the shapes.
Type below:
____________

A has 6 sides 6 angles = hexagon.
B has 4 sides 4 angles = quadrilateral
C has 4 sides 4 angles = quadrilateral
D has 3 sides 3 angles = triangle
E has 4 sides 4 angles = quadrilateral
F has 4 sides 4 angles = quadrilateral
1 triangle, 4 quadrilateral, and 1 hexagon blocks available.

Question 10.
Part B
Sort the pattern blocks by angles. How many groups did you make? Explain how you sorted the shapes.
Type below:
____________

A and F have greater than a right angle.
B has 4 right angles.
C, D, and E have all the angles less than a right angle.

Question 11.
Teresa drew a quadrilateral that had 4 sides of equal length and no right angles. What quadrilateral did she draw?
____________

rhombus

### Review/Test – Page No. 757

Question 12.
Rhea used a Venn diagram to sort shapes. What label could she use for circle A?

Type below:
____________

Right Angle

Question 13.
Colette drew lines to divide a rectangle into equal parts that each represent $$\frac{1}{6}$$ of the whole area. Her first line is shown. Draw lines to complete Colette’s model.

Type below:
____________

Question 14.
Brad drew a quadrilateral. Select the pairs of sides that appear to be parallel. Mark all that apply.

Options:
a. a and b
b. b and d
c. c and a
d. d and c

b. b and d
c. c and a

### Review/Test – Page No. 758

Question 15.
Give two reasons that this shape is not a polygon.

Type below:
____________

1. The shape is not a closed shape.
2. The shape has no line segments.

Question 16.
A triangle has 1 angle greater than a right angle. What must be true about the other angles? Mark all that apply.
Options:
a. At least one must be less than a right angle.
b. One could be a right angle.
c. Both must be less than a right angle.
d. One must be greater than a right angle.

c. Both must be less than a right angle.

Question 17.
Ava drew a quadrilateral with 2 pairs of opposite sides that are parallel. The shape has at least 2 right angles. Draw a shape that Ava could have drawn.
Type below:
____________

Question 18.
For 18a–18d, select True or False for each description of a ray.

a. straight
i. True
ii. False

i. True

Question 18.
b. has 2 endpoints
i. True
ii. False

ii. False

Question 18.
c. part of a line
i. True
ii. False