Question

Given: A ≅ B, CD is an angle bisector of ACB
Prove: AC ≅ BC

Provide the reasons

Answer 1

Step-by-step explanation:

if CD s the bisector of angle acb , then angle acd=angle bcd. angle a =angle b. so definitely angle cda=angle bdc.

so in triangles, acd and bcd,

angle acd=angle bcd

angle adc=angle bdc

cd=DC which is a common side.

so those triangles are congruent to each other.

so ac has to be equal to bc because

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE EQUAL AND BC CORRESPONDS TO AC. THUS THEY ARE EQUAL.

HENCE, PROVED.

PLZ MARK AS BRAINLIEST