EDGE Math 8

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

Given:	$l ∥ m$ cut by transversal t
Prove:	$∠ 1 ≅ ∠ 4$

Choices:

a.	$∠ 3 ≅ ∠ 4$
b.	Vertical Angles Theorem
c.	Alternate Exterior Angles Theorem
d.	Definition of alternate interior angles

e.	$∠ 1 ≅ ∠ 4$
f.	$∠ 1 ≅ ∠ 3$
g.	Alternate Interior Angles Theorem
h.	Converse of Alternate Interior Angles Theorem

Proof:

Statements

Reasons

l ∥ m

cut by transversal t

1. Given

∠ 1 ≅ ∠ 2

∠ 2 ≅ ∠ 3

4. Statements 2 and 3, and Transitive Property of Angle Congruence

5. Vertical Angles Theorem

6. Statements 4 and 5, and Transitive Property of Angle Congruence

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