Question

1. In the figure if Zx = Zy and AB - CB. Prove that AE=CD. ​

Answer 1

Answer:

it is give that x= y and ab= CD

by considering the ∆ abe

we know that

exterior aeb=eba= bae

y=eba+ bae

by considering the ∆BCD

we know that

x=cba+bcd

it is given that x=y

so we can write it as

cba+bcd+=eba+bae

on further calculation we can write it as bcd=bae

based on both ∆bcd and bae we know that b is the common point it is give that ab=bc

it is give that ab= bc

it is proved that bcd= bae

therefore, by asa congruence criterion

we get

∆ bcd=∆bae

it is we know that the corresponding sides of congruent Triangles are equal

therefore, it is provided that ae=cd