Is a square. Its diagonals and intersect at…

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

PQRS

is a square. Its diagonals

PR

and

QS

intersect at

O

. (i) What is the measure of

\angle POQ

? Give a brief reason. (ii) Prove that

\triangle PRO \cong \triangle QSO

. (iii) Deduce the relationship between

OR

and

OS