Question

4. In the figure, it is given that ZA = ZC and AB = BC. Prove that AABD = ACBE.
B
E
D
O
A A​

Answer 1

Answer:

In triangle ABD and CBE ,

AB=BC     ( given )

∠BAD=∠BCE      ( given )

∠ABD=∠CBE   ( common angle )

By ASA criteria of congruence,

△ABD≅△CBE

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Answer 2

In triangle ABD and CBE

angle A = angle C [given]

AB = BC [ given]

angle ABD = angle CBE. [ given]

So,

triangle ABD is congruent to triangle CBE

By ASA congruence creterion

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