Question

In the figure AB = AD, AD CD and AB BC. (a) Is AABC=AADC ? Give reasons. (b) Is BC= DC? Why? ​

Answer 1

Answer:

Given:- AB=AD

CB=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)

Answer 2

Answer:

ABC = ADC ✅

BC = DC ✅

Step-by-step explanation:

angle ABC = angle ADC ( angle ✅)

AB = AD ( side ✅)

AC = CA ( common side) ( side ✅)

There fore by SSA test, Both Triangles are congruent.

As both triangles are congruent, BC = DC