Question

congruence of triangles ​

Answer 1

Answer:

Given: E bisects AC i.e., EA=EC

and angleB=angleD

To Prove: triangle ABE congruent to triangle CDE

Proof: In triangle ABE and triangle CDE,

angleB=angleD. (given)

EA=EC. (given)

angleAEB=angleCED (vertically opposite angle)

BY ASA congruence,

triangle ABE congruent to triangle CDE

Answer 2

given , <B = <D

AND ANGLE BEA = CED ( OPPOSITE ANGLE)

AND AE = EC, BECAUSE E BISECTS AC

SO ∆ ABE ~= CDE ( ASA congruence rule)