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 $\bar{G E}$ bisects $∠ N G L$ and $∠ L G E ≅ ∠ A N G,$ prove that $\bar{A N} ∥ \bar{G E} .$

Choices:

e.	Converse of CAP
f.	$∠ N G E ≅ ∠ L G E$
g.	Converse of Alternate Interior Angles Theorem
h.	$∠ L G E ≅ ∠ A N G$

Proof:

Statements

Reasons

\bar{G E}

bisects

∠ N G L

1. Given

2. Definition of angle bisector

3. Transitive Property of Angle Congruence

\bar{A N} ∥ \bar{G E}

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