Mathematics

Problem

A kite

PQRS

has

PQ = PS

and

RQ = RS

. Diagonals

PR

and

QS

intersect at

O

. (a) Prove that

\triangle PQR \cong \triangle PSR

. (b) Show that

\angle QPR = \angle RPS

. (c) Further, prove that

PR

is the perpendicular bisector of

QS