Question

In the given figure prof that (1)PQ=RS (2)PS=QR

Answer 1

In triangles prq and prs,

PQ=SR->(given)

PR=PR->(Common side)

RQ=PS->(given)

triangle PQR is congruent to prs.

By cpct,pq=rs and ps=qr.

Hence proved.

Answer 2

here,give

angle PSR= angle PQR. (1)

To prove,PQ=RS

PS=QR

Now in triangle PSR &PQR

angle S= angle Q (from 1)

side PR= side PR (common)

angle SPR= angle QRP( alternate angle)

therefore, trianglePSR congruent to triangle PQR

Therefore,PQ=SR (CPCT)

PS=QR (CPCT)

Hence proved