Texas Go Math Grade 7 Module 4 Quiz Answer Key

Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Module 4 Quiz Answer Key.

Texas Go Math Grade 7 Module 4 Quiz Answer Key

Texas Go Math Grade 7 Module 4 Ready to Go On? Answer Key

4.1 Similar Shapes and Proportions

Question 1.
Explain whether the shapes are similar.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 1
Answer:
Yes, both the given shape (triangle) are similar.
Because all the angles of both triangles are equal and also the ratio of corresponding sides of the triangle are equal.
\(\frac{9}{6}\) = \(\frac{15}{10}\) = \(\frac{12}{8}\) = \(\frac{3}{2}\)
Hence, both shapes are similar.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 0.4

4.2 Using Similar Shapes

Find the missing measure in each pair of similar shapes.

Go Math Grade 7 Module 4 Answer Key Question 2.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 2
Answer:
These two shapes are similar, so the corresponding sides are proportional.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 11
The missing measure is 20.

Question 3.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 3
Answer:
\centering To find the missing measure, use a proportion.
\(\frac{30}{9}\) = \(\frac{x}{12}\)
\(\frac{30}{9} \cdot \frac{1.33}{=1.33} \frac{x}{12}\)
\(\frac{39.9}{12}\) = \(\frac{x}{12}\)
39.9 = x
The missing measure is x = 39.9.

Texas Go Math Grade 7 Module 4 Quiz Answer Key 0.5

4.3 Similar Shapes and Scale Drawings

Question 4.
What is the area of the room represented in the scale drawing?
Texas Go Math Grade 7 Module 4 Quiz Answer Key 4
Answer:
3cm : 6ft4 ⇔ 1 cm : 2 ft
l = 10cm
w = 6 cm
Convert length and width from cm to ft
l = 10 ∙ 2 = 20 ft
w = 6 ∙ 2 = 12 ft
Use the formula for the area of the rectangle.
A = 1 w Substitute 20 for 1 and 12 for w.
A = 20 ∙ 12
A = 240
The area of the room is 240 ft2.

4.4 Ratios and Pi

Module 4 Test Answers Math Grade 7 Question 5.
Find the missing measure.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 5
Answer:
C = 37.68 The circumference of big circle
d = 12 Diameter of big circle
C1 = ? The circumference of similar circle
d1 = 6 Diameter of similar circle
\centering To find the missing measure, use a proportion.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 12
The circumference of similar circle is 18.84.

Essential Question

Question 6.
How can you use similarity and proportionality to find missing measures?
Answer:
For every similar shape, the corresponding measures are proportional so from proportion we can find the missing measures.

Texas Go Math Grade 7 Module 4 Mixed Review Texas Test Prep Answer Key

Selected Response

Module 4 Go Math Quiz for Grade 7 with Answers Pdf Question 1.
Which shows a pair of shapes that are not similar? All corresponding angles have equal measure.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 6
Answer:
Example under (C) shows a pair of shapes that are not similar.

Explanation:
For value of side from the picture, when we write a proportion using corresponding sides, we get;
(A) \(\frac{8}{6}=\frac{8}{6}=\frac{8}{6}\)
which is correct

(B) \(\frac{20}{12}=\frac{20}{12}\)
which is correct

(C) \(\frac{4}{6}=\frac{6}{10}\)
0.66 = 0.6
which isn’t correct

(D) \(\frac{9}{12}=\frac{9}{12}=\frac{6}{8}\)
0.75 = 0.75 = 0.75
which is correct

Question 2.
A scale drawing of a rectangular deck is shown below.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 7
What is the perimeter of the actual deck?
(A) 187.5 ft
(B) 375 ft
(C) 550 ft
(D) 750 ft
Answer:
(B) 375 ft

Explanation:
2 in : 25 ft ⇔ 1 in : 12.5 ft
Convert Length and width from in. to ft.
l = 11 ∙ 12.5 = 137.5 ft
w = 4 ∙ 12.5 = 50 ft
Use the formula for the perimeter of a rectangle.
P = 2(l + w) Substitute 137.5 for l and 50 for w.
P = 2(137.5 + 50)
P = 375
The perimeter of the actual deck is 375 ft

Module 4 Go Math Grade 7 Answer Key Question 3.
The two triangles below are similar. Find the area of the larger triangle.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 8
(A) 8 square units
(B) 36 square units
(C) 64 square units
(D) 128 square units
Answer:
The area of the larger triangle is (C) 64 square units.

Explanation:
x1 = 6
y1 = 12
x = ?
y = 16
\centering To find the missing measure, use a proportion.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 13
The area of the larger triangle is:
\(\frac{7,98 \cdot 16}{8}\) = 63.84 ≈ 64

Question 4.
Find the circumference of the smaller circle.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 9
(A) 15.7
(B) 22.5
(C) 23.55
(D) 31.4
Answer:
(C) 23.55

Explanation:
C1 = the circumference of the larger circle
C2 = the circumference of the smaller circle
d1 = the diameter of the larger circle
d2 = the diameter of the smaller circle
The two circles are similar, so the corresponding measures are proportional.
Write the proportion
Texas Go Math Grade 7 Module 4 Quiz Answer Key 14
The circumference of the smaller circle is 23.55.

Gridded Response

Module 4 Test Answer Key Grade 7 Go Math Question 5.
An advertising company is creating a large wall banner and a smaller flyer that are similar figures. What percent of the area of the banner is the area of the flyer?
Texas Go Math Grade 7 Module 4 Quiz Answer Key 10
Answer:
x1 = 15
y1 = 40
x = ?
y = 24
\centering To find the missing measure, use a proportion.
Texas Go Math Grade 7 Module 4 Quiz Answer Key 16
Use the formula for the area of rectangLe P = x ∙ y where x represents the length of the rectangle and y represents the width of the rectangle.
The area of a large wall banner is:
P1 = 15 ∙ 40 = 600
The area of smaller flyers is:
P = 9 ∙ 24 = 216
When we divide the area of a smaller flyer by the area of a large wall banner, we get which percent of the area of the banner is the area of a smaller flyer.
\(\frac{216}{600}\) = 0.36 = 36%

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