EDGE Math 8

Consider the following:

Given:	$∠ E A R ≅ ∠ T R H$ and $\bar{R T} ⊥ \bar{R S} .$
Prove:	$∠ E A R$ and $∠ T R H$ are complementary angles.

An incomplete proof is shown below. Choose the answers to the questions below the proof.

1.	Which should be the reason for statement 3?

Angle Measurement Postulate

Definition of angles

Angle Addition Postulate

none of the choices

Answer: Angle Addition Postulate

2.	Which of the following should be statement 7?

90 = m ∠ S R H + m ∠ E A R

90 = m ∠ E A R + m ∠ T R H

∠ S R H

and

∠ T R H

are complementary angles.

none of the choices

Answer: $90 = m ∠ S R H + m ∠ E A R$

3.	Which should be the reason for statement 8?

Complement Theorem

Definition of complementary angles

Transitive Property

none of the choices

Answer: Definition of complementary angles

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