EDGE Math 8

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

Given:	$s ∥ t$ $r ⊥ s$
Prove:	$r ⊥ t$

Choices:

a.	Transitive Property of Equality
b.	Corresponding Angles Postulate
c.	$∠ 2$ is a right angle.
d.	Converse of CAP
e.	$m ∠ 1 = 90 °$

f.	Definition of perpendicular lines
g.	Definition of congruent angles
h.	$∠ 1$ is a right angle.
i.	$m ∠ 2 = 90 °$
j.	Definition of corresponding angles

Proof:

Statements

Reasons

s ∥ t

r ⊥ s

1. Given

2. Definition of perpendicular lines

∠ 1

and

∠ 2

are corresponding angles.

∠ 1 ≅ ∠ 2

m ∠ 1 = m ∠ 2

6. Statement 2, and definition of right angle

7. Substitution Property of Equality

8. Definition of right angle

r ⊥ t

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