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 9 Quiz Answer Key.

## Texas Go Math Grade 7 Module 9 Quiz Answer Key

**Texas Go Math Grade 7 Module 9 Ready to Go On? Answer Key**

**9.1 Angle Relationships**

**Use the diagram to name a pair of each type of angle.**

Question 1.

Supplementary angles _____

Answer:

âˆ DFC and âˆ BFC

**Go Math Module 9 Answer Key Module 9 Test Question 2.**

Complementary angles. _____

Answer:

âˆ AFB and âˆ BFC

Question 3.

Vertical angles. _____

Answer:

âˆ EFD and âˆ BFC

**9.2, 9.3 Finding Circumference and Area of Circles**

**Find the circumference and area of each circle. Use 3.14 for Ï€.**

Question 4.

Circumference â‰ˆ _____

Answer:

d = 36 cm

Use the formula for the circumference of the circle when given diameter

C = Ï€(d) Substitute 36 for d, and 3.14 for Ï€.

C â‰ˆ 3.14(36)

C â‰ˆ 113.04

The circumference of the circle is 113.04 cm

C â‰ˆ 113.04 cm

Question 5.

area â‰ˆ ___

Answer:

Use the formula for the area of the circle.

Since the diameter is twice a radius, the formula for area of a circle, when given the diameter, is

A = Ï€\(\left(\frac{d}{2}\right)^{2}\) Substitute 36 for d, and 3.14 for Ï€.

A â‰ˆ 3.14 . \(\left(\frac{36}{4}\right)^{2}\)

A â‰ˆ 3.14 18^{2}

A â‰ˆ 3.14 . 324

A â‰ˆ 1017.36

The area of the circle is about 1017.36 cm^{2}.

A â‰ˆ 1017.36 cm^{2}

Question 6.

Circumference â‰ˆ _____

Answer:

The radius of the circle is 7 m.

Use the formula for the circumference of the circle.

C = 2Ï€(r) Substitute 7 for r, and \(\frac{22}{7}\) for Ï€.

The circumference is about 44 m.

C â‰ˆ 44

**Grade 7 Math Module Answer Key Pdf Circles Question 7.**

area â‰ˆ ___

Answer:

Use the formula for the area of the circle

A = Substitute 7 for r, and 314 for w.

A â‰ˆ 3.14(7)^{2}

A â‰ˆ 3.14 49

A â‰ˆ 153.86

The area of the circle is about 153.86 m^{2}

A â‰ˆ 153.86 m^{2}.

**9.4 Area of Composite Figures**

**Find the area of each figure. Use 3.14 for Ï€.**

Question 8.

Answer:

Separate the figure into a triangle and one semicircle.

Area of the triangle

base = 14 m

height = 10 m

Use the formula for the area of the triangle.

A_{1} = \(\frac{1}{2} b \cdot h\)

A_{1} = \(\frac{1}{2} 14 \cdot 10\)

A_{1} = \(\frac{70}{2}\)

A_{1} = 35

The area of the triangle is 35 m_{2}.

Area of the circle

diameter = 14 m

Use the formula for the area of the circle when given the diameter

A_{c} = \(\pi\left(\frac{d}{2}\right)^{2}\) Subsitute 14 for d and 3.14 for Ï€.

A_{c} = 3.14\(\left(\frac{14}{2}\right)^{2}\)

A_{c} = 3.14 . 7^{2}

A_{c} = 3.14 . 49

A_{c} = 153.86

Area of the semicircle is half the area of the circle.

A_{2} = \(\frac{A_{c}}{2}\) = \(\frac{153.86}{2}\) = 76.93

The area of the semicircle is 76.93 m^{2}.

Add the areas to find the total area.

A = A_{1} + A_{2} = 35 + 76.93 = 111.93

The area of the figure is 111.93 m^{2}.

**Quiz for Grade 7 Math Module 9 Question 9.**

Answer:

Separate the figure into a rectangle and a parallelogram.

Area of the rectangle

length = 20 cm

width = 5.5 cm

Use the formula for the area of the rectangle.

A_{1} = l . w

A_{1} = 20 . 5.5

A_{1} = 110

The area of the rectangle is 110 cm^{2}.

Area of the parallelogram

b = 20 cm

h = 4.5 cm

Use the formula for the area of the parallelogram.

A_{2} = b . h

A_{2} = 20 . 4.5

A_{2} = 90

The area of the parallelogram is 90 cm^{2}

Add the areas to find the total area.

A = A^{1} + A^{2} = 110 + 90 = 200

The area of the figure is 200 cm^{2}.

**Essential Question**

Question 10.

How can you use geometric formulas in real-world situations?

Answer:

There are times that we need to determine the area perimeter or volume of a certain object or even a place and

the only given is the dimensions, the geometric formulas are very helpful in such a way that we can calculate it by ourselves.

The geometric formulas are very helpful.

**Texas Go Math Grade 7 Module 9 Mixed Review Texas Test Prep Answer KeyÂ **

**Selected Response**

**Use the diagram for Exercises 1-3.**

Question 1.

What is the measure of âˆ BFC?

(A) 18Â°

(B) 72Â°

(C) 108Â°

(D) 144Â°

Answer:

(C) 108Â°

Explanation:

âˆ AFB and âˆ BFC are supplement angles, hence

âˆ AFB + âˆ BFC = 180Â° Substitute 72Â° for âˆ AFB

72Â° + âˆ BFC = 180Â° Subtract 72Â° from both sides.

âˆ BFC = 180Â° – 72Â°

âˆ BFC = 108Â°

**Math Quiz for Grade 7 Module 9 Test Question 2.**

Which describes the relationship between âˆ BFA and âˆ CFD?

(A) adjacent angles

(B) complementary angles

(C) supplementary angles

(D) vertical angles

Answer:

(D) vertical angles

Question 3.

Which information would allow you to identify âˆ BFA and âˆ AFE as complementary angles?

(A) mâˆ AFE = 108Â°

(B) âˆ DFE is a right angle.

(C) âˆ BFA and âˆ BFC are supplementary angles.

(D) âˆ BFA and âˆ BFC are adjacent angles.

Answer:

(B) âˆ DFE is a right angle.

Explanation:

âˆ DFE is a right angle, as we see in the diagram.

Question 4.

David pays $7 per day to park his car. He uses a debit card each time. By what amount does his bank account change due to parking charges over a 40-day period?

(A) -$280

(B) -$47

(C) $47

(D) $280

Answer:

(A) -$280

Explanation:

David pays $7 each day for 40 days, so amount on his bank account decreases for $7 . 40 = $280.

Question 5.

What is the circumference of the circle? Use 3.14 for Ï€.

(A) 34.54 m

(B) 69.08 m

(C) 379.94 m

(D) 1,519.76 m

Answer:

(B) 69.08 m

Explanation:

r = 11 m

Use the formula for circumference.

C = 2Ï€r(r) Substitute 11 for r and 314 for Ï€

C â‰ˆ 2 3.14 . 11

C â‰ˆ 69.08

The circumference of the circle is 69.08 m.

**7th Grade Module 9 Quiz Answers Question 6.**

What is the area of the circle? Use 3.14 for Ï€.

(A) 23.55 m^{2}

(B) 176.625 m^{2}

(C) 47.1 m^{2}

(D) 706.5 m^{2}

Answer:

(B) 176.625 m^{2}

Explanation:

d = 15m

Use the formula for the area of the circle.

A = Ï€r^{2}

Since the diameter is twice a radius, the formula for area of a circle, when given the diameter, is

A = Ï€(r)^{2} Substitute \(\frac{d}{2}\) for r.

A = \(\pi\left(\frac{d}{2}\right)^{2}\) Substitute 15 for d, and 3.14 for Ï€.

A â‰ˆ 3.14 . \(\left(\frac{15}{2}\right)^{2}\)

A â‰ˆ 3.14 . (7.5)^{2}

A â‰ˆ 3.14 . 56.25

A â‰ˆ 176.62

The area of the circle is about 176.62 m^{2}.

**Gridded Response**

**Grade 7 Math Module 9 Answer Key Question 7.**

Find the area in square meters of the figure below. Use 3.14 for Ï€.

Answer:

Separate the figure into a square and a quarter of circle.

Area of the square

side = 6 m

Use the formula for the area of the square

A_{1} = 8^{2}

A_{1} = 6^{2}

A_{1} = 36

The area of the square is 36 m^{2}.

To find the area of the quarter of a circle, find the area of the circle and divide it by 4.

Area of the circle

radius = 6 m

Use the formula for the area of the circle when given a radius.

A_{c} = Ï€r^{2} Substitute 10 for r and 314 for w.

A_{c} = 3.14(6)^{2}

A_{c} = 3.14 . 36

A_{c} = 113.04

A_{2} = \(\frac{A_{c}}{4}\) = \(\frac{113}{404}\) = 28.26

The area of the quarter of the circle is 28.26 m^{2}.

Add the areas to find the total area.

A = A_{1} + A_{2} = 36 + 28.26 = 64.26

The area of the figure is 64.26 m^{2}.