EDGE Math 8

Complete the two-column proof. Identify the missing statement or reason. Type the letter of your answer in each blank.

Given that $\bar{O H} ∥ \bar{E P},$ prove that $m ∠ 1 + m ∠ 2 = m ∠ 3 + m ∠ 4.$

Choices:

a.	$m ∠ 1 = m ∠ 3$
b.	Alternate Interior Angles Theorem
c.	$∠ 2 ≅ ∠ 4$
d.	$\bar{PH} ∥ \bar{EO}$

e.	Addition Property of Equality
f.	Transitive Property of Angle Congruence
g.	$m ∠ 2 = m ∠ 3$
h.	Converse of Alternate Interior Angles Theorem

Proof:

Statements

Reasons

\bar{OH} ∥ \bar{EP}

1. Given

2. Corresponding Angles Postulate

∠ 1 ≅ ∠ 3

m ∠ 2 = m ∠ 4

4. Definition of congruent angles

m ∠ 1 + m ∠ 2 = m ∠ 3 + m ∠ 4

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