Question

In the adjoining figure AB =Ad and CB =CD Prove that triangle ABC congruent to triangle ADC

Answer 1

Given : AB=AD
: CB=CD
To prove :ABC is congruent to ADC
Proof :
In triangle ABC and ADC,
AB=AD AND CD=CB (Given)
AC=AC (Common)
So, according to SSS congruency rule,
ABC is congruent to ADC

Hence proved..

Hope it helps you dear...

Answer 2

In ∆ABC and ∆ADC,
AD=AB( Given)
BC=CD(Given)
AC Is common
By SSS Congruence rule
∆ABC is congruent to ∆ADC
( PROVED)