Question

In the figure given below , PQ = PS and QR=SR . show that (a) PQR= PSR (b) PR bisects P and R​

Answer 1

Answer:

given PQ=PS QR=QS also PR=PR(common) triangle PQR congruent triangle PSR

also angle QPR = angle RPS(cpct) also angle QRP=angle PRS(cpct) hence pr bisect angle P and angle R

Answer 2

Step-by-step explanation:

PQ=PS given

QR=SR given

PR=PR commont side

Triangle PQR is congruent to Triangle PSR

i) Angle PQR = Angle PSR Corresponding angles of congruent Triangles

Angle PRQ= Angle PRS Corresponding angles of congruent Triangles

Angle QRP = Angle SRP

ii) Hence PR bisects P and R