Question

In the figure at right, if PQ = SR and PR = SQ , prove that ∠P ≅ ∠S. Write your proof either in a flowchart or in two-column proof form.

Answer 1

PQ =RS (given)
PR=SQ(given)
QR=RQ(reflexive property)

so, triangles PQR and SRQ are congruent (by SSS (Side-side -side))

Therefore by CPCTC/homologs elements ∠P ≅ ∠S