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weqwewe [10]
3 years ago
14

Match the reasons with the statements given. Given: triangle ABR RA = RB RS | | AB Prove: <1 = <2

Mathematics
1 answer:
raketka [301]3 years ago
8 0
Given the following statements<span>
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
</span>
<span>we match the statements and the reasons to enable us prove the required proof.
         Statement                                                     Reason
</span>
<span>1. line RS || segment AB, ∠1=∠2       Given
2. ∠B = ∠1                                         </span><span>If lines ||, corresponding ∠'s are =
3. ∠A = ∠2                                         </span><span>If lines ||, alternate interior ∠'s =
4. ∠A = ∠B                                        </span><span>Substitution  [because we are given that </span>
<span><span>∠1=∠2]

</span>5. RA = RB                                        </span>If two ∠'s of a triangle are =, sides opposite are =
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