3.1 Review Worksheet (continued)

34. Complete the two-column proof below. Given: ⊥ ∠ + ∠ = AB BC ,m 1 m 2 180 Prove: ⊥ BC CD

1

B A

C D

2

Proof:

Statements

Reasons

⊥ AB BC

1. Given

1.

2. m ∠ 1 + m ∠ 2 = 180 ° ? 3. ∠ 1 and ∠ 2 are supplementary. 3. Def. of supplementary 4. b. ? 2. a.

4. Converse of the Same-Side Interior Angles Theorem

⊥ BC CD

5. c.

5.

?

35. The frets on a guitar are all perpendicular to one of the strings. Explain why the frets must be parallel to each other.

String

Fret

158

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