Question

the adjoining figure
AB=ADandCB=CD.
Prove that∆ABC=∆ADC​

Answer 1

Answer:

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...

Step-by-step explanation:

Answer 2

Given:- AB=ADCB=CD

To prove;- △ABC≅△ADC

Proof:-

In △ABC and △ADC,

AB=AD(Given)

CB=CD(Given)

AC=AC(Common)

∴△ABC≅△ADC(By SSS congruence property)