Question

Use deductive reasoning to show that P=R

Answer 1

∠P ≅ ∠R

Explanation:

We can see here two triangles , ∆ PQS and ∆ RQS.

To Prove :-

• ∠P ≅ ∠R

We can prove the given two triangles congruent then we can easily prove it out.

In ∆ PQS and ∆ RQS

• PQ = QR ( given )
• QS = QS ( common)
• ∠PQS = ∠ RQS .

Therefore by SAS congruence condition , both triangles are congruent .

Hence ,

• ∠P ≅ ∠R ( by corresponding parts of congruent ∆s)

Hence Proved !