EDGE Math 8

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

Given:	$s ⊥ r$ $t ⊥ r$
Prove:	$s ∥ t$

Choices:

a.	Alternate Exterior Angles Theorem
b.	Definition of congruent angles
c.	Definition of perpendicular lines
d.	$m ∠ 1 = 90 °$ and $m ∠ 2 = 90 °$
e.	Converse of CAP

f.	Transitive Property of Equality
g.	Definition of alternate interior angles
h.	Converse of Alternate Interior Angles Theorem
i.	$∠ 1$ and $∠ 2$ are corresponding angles.
j.	Corresponding Angles Postulate

Proof:

Statements

Reasons

s ⊥ r

t ⊥ r

1. Given

∠ 1

and

∠ 2

are right angles.

3. Definition of right angle

m ∠ 1 = m ∠ 2

∠ 1 ≅ ∠ 2

6. Definition of corresponding angles

s ∥ t

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