Two straight lines and intersect at forming a right angle

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

Problem

Two straight lines

l

and

m

intersect at

O

forming a right angle. On line

l

, take points

A

and

C

on opposite sides of

O

such that

OA = OC

. On line

m

, take points

B

and

D

on opposite sides of

O

such that

OB = OD

. (i) Prove that

\triangle AOB \cong \triangle COD

. (ii) Hence show that

AB \parallel CD