Quadrilateral is drawn such that and is a common side of and

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

Problem

Quadrilateral

ABCD

is drawn such that

AB = CD

and

AD

is a common side of

\triangle BAD

and

\triangle CDA

. It is also given that

\angle BAD = \angle CDA

. (i) Prove that

\triangle BAD \cong \triangle CDA

. (ii) Write any two equalities (of sides or angles) within quadrilateral

ABCD

that follow directly from the congruence established in part (i).