Answer:
Step-by-step explanation:
Given the following statements
1. line RS || segment AB, ∠1=∠2
2. ∠B = ∠1
3. ∠A = ∠2
4. ∠A = ∠B
5. RA = RB
and the following reasons,
a) If lines ||, corresponding ∠'s are =
b) If two ∠'s of a triangle are =, sides opposite are =
b) If lines ||, alternate interior ∠'s =
c) Given
d) Substitution
we match the statements and the reasons to enable us prove the required proof.
Statement Reason
1. line RS || segment AB, ∠1=∠2 Given
2. ∠B = ∠1 If lines ||, corresponding ∠'s are =
3. ∠A = ∠2 If lines ||, alternate interior ∠'s =
4. ∠A = ∠B Substitution [because we are given that
∠1=∠2]
5. RA = RB If two ∠'s of a triangle are =, sides opposite are =
