EDGE Math 8

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

In the figure, $∠ x ≅ ∠ y$ and $∠ a ≅ ∠ b .$ Prove that lines m and n are parallel.

Choices:

a.	$∠ x$ and $∠ y$ are alternate exterior angles.
b.	Converse of CAP
c.	$∠ a$ and $∠ b$ are corresponding angles.
d.	$∠ x$ and $∠ y$ are corresponding angles.
e.	Definition of congruent angles

f.	Two lines parallel to the same line are parallel.
g.	Converse of Alternate Interior Angles Theorem
h.	Corresponding Angles Postulate
i.	$∠ x$ and $∠ y$ are alternate interior angles.
j.	Alternate Interior Angles Theorem

Proof:

Statements

Reasons

∠ x ≅ ∠ y

and

∠ a ≅ ∠ b

1. Given

2. Definition of alternate interior angles

l ∥ n

4. Definition of corresponding angles

l ∥ m

m ∥ n

Statements 3 and 5, and the statement:

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