Into Math Grade 8 Module 4 Answer Key Angle Relationships

We included HMH Into Math Grade 8 Answer Key PDF Module 4 Angle Relationships to make students experts in learning maths.

HMH Into Math Grade 8 Module 4 Answer Key Angle Relationships

A Fox From Any Angle

The diagram shows the design for a fox made from folded paper.

Give an example of each type of angle pair in the design.

A. Vertical angles
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$HMH Into Math Grade 8 Module 4 Answer Key Angle Relationships 1$

B. Adjacent supplementary angles
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C. Non-adjacent supplementary angles
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D. Adjacent complementary angles
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$HMH Into Math Grade 8 Module 4 Answer Key Angle Relationships 2$

E. Non-adjacent complementary angles
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Turn and Talk

How did you identify a pair of non- adjacent supplementary angles?

Are You Ready?

Complete these problems to review prior concepts and skills you will need for this module.

Operations with Linear Expressions

Simplify each expression.

Question 1.
x + 2x + 48
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Answer:
x + 2x + 48
3x + 48
3(x + 16)

Question 2.
(n + 7) + 3(n + 1) + 90
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Answer:
(n + 7) + 3(n + 1) + 90
n + 7 + 3n + 3 + 90
Combine the like terms
n + 3n + 7 + 3 + 90
4n + 100
4(n + 25)

Question 3.
180 – (68 + a)
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Answer:
180 – (68 + a)
180 – 68 – a
112 – a

Angle Relationships

In the figure. Lines AD and CE intersect at Point F. Determine the measure of each angle.

Question 4.
∠CFD _________________
Answer:
∠BFD = ∠BFC + ∠CFD = 90°
∠BFD = 42° + ∠CFD = 90°
∠CFD = 90 – 42
∠CFD = 48°

$HMH Into Math Grade 8 Module 4 Answer Key Angle Relationships 3$

Question 5.
∠DFE _________________
Answer:
∠DFE + ∠CFD = 180°
∠DFE + 48° = 180°
∠DFE = 180° – 48°
∠DFE = 132°

Question 6.
∠AFE _________________
Answer:
∠AFE + ∠DFE = 180°
∠AFE + 132° = 180°
∠AFE = 180 – 132
∠AFE = 48°

Question 7.
Name a pair of vertical angles in the figure.
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Answer:
∠B and ∠F are the vertical angles

Similar Figures

Use tracing paper, a protractor, and a ruler to determine whether the triangles in each pair are similar. If so, describe a sequence of transformations that demonstrates the similarity.

Question 8.
$HMH Into Math Grade 8 Module 4 Answer Key Angle Relationships 4$
Answer:
ΔGFH and ΔLKJ are similar triangles and it is a reflected image.

Question 9.
$HMH Into Math Grade 8 Module 4 Answer Key Angle Relationships 5$
Answer:
ΔPQR and ΔSTU are not similar triangles.

HMH Into Math Grade 8 Module 4 Answer Key Angle Relationships

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