Question

In the given figure AB IS EQUAL TO CD AND ANGLE ABC IS EQUAL TO ANGLE DCB PROOVE THAT
1. ABC IS CONGRUENT TO DCB
2. AC IS EQUAL TO DB

Answer 1

Answer:

Step-by-step explanation:

In the ABC & DCB,

AB=CD (Given)

Angle ABC=Angle DCB (Given)

BC=BC (common Side)

By SAS rule ABC is congruent to DCB

Answer 2

Answer:

Step-by-step explanation:

Given:AB=CD

         ∠ABC=∠DCB

To Prove:1.ΔABC is congruent to ΔDCB

              2.AC=DB

Proof:  1.AB=CD(Given)

∠ABC=∠DCB (Given)

BC=BC (Common Side)  

By SAS rule ABC is congruent to DCB

2.AC=DB(CPCT)