Question

Question no. 4 that In figure it is given that AB =BC & AD=EC. prove that triangle ABE CONGRUENT TRIANGLE CBD

Answer 1

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Answer 2

Step-by-step explanation:

AD = EC (given)

adding DE on both sides,

AD + DE = EC + DE

AE = CD ------- (1)

AB = BC (given)

Hence,

Angle BAC = Angle BCA ------- (2)

(In isoceles triangle, angles opposite to equal sides are equal)

In Triangle ABE and Triangle CBD :

AB = BC [Given]

Angle BAC = BCA [From (2)]

AE = CD [From (1)]

HENCE, TRIANGLE ABE IS CONGRUENT TO TRIANGLE CBD

(By SAS Congruency)