Question

In an isosceles triangle OPQ, OP=OQ and OR is an an altitude of the triangle.Is triangle ORP congruent to triangle ORQ.Give your answer with reason.​

Answer 1

Answer:

yes

Step-by-step explanation:

by sas congruency rule : OP=OQ,ANGLE ORP=ORQ,OR=OR

Answer 2

 Δ OPQ is an isosceles triangle.

OP = OQ ( given)

OR is an altitude , which divided this Δ in to two part,

those part are :-

Δ ORP  and Δ ORQ

 now in Δ ORP  and Δ ORQ

  1) OP = OQ

 2) OR is common side

 3) ∠ ORP = ∠ORQ = 90°   ( OR is parpendicular on PQ on point R)

∴  ΔORP  ≅ Δ ORQ

Ans :- ΔORP  ≅ Δ ORQ