Chapter 2: Q9. (page 65)
Write a proof for exercise 8 in two-column form.
Short Answer
The two-column proof is:
Statement | Reason |
∠1is supplementary to∠3 | Given |
∠2is supplementary to∠3 | Given |
∠2 + ∠3 = 180 | Definition of supplementary angles |
∠1 + ∠3 = 180 | Definition of supplementary angles |
∠1 = ∠2 | Subtraction property of equality |
∠1≅∠2 | Definition of congruent angles. |
Theorem of the converse of perpendicular lines |