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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