"△ABD≅△CBD. Name the theorem or postulate that justifies..." solved and explained

Falak Kinney

Answered question

2021-07-16

$△ A B D ≅ △ C B D$ . Name the theorem or postulate that justifies the congruence.

A)AAS
B)SSS
C)ASA
D)SAS

Usamah Prosser

Skilled2021-07-17Added 86 answers

Step 1
Consider the given figure.
We have to write the name of theorem or postulates that justifies

△ A B D \tilde{=} △ C B D

.
From the given figure

∠ D A B = ∠ D C B

∠ A B D = ∠ C B D = 90^{\circ}

And BD is common.
Step 2
Hence, from the AAS(Angle-Angle-Side) postulates justify the congruence

△ A B D \tilde{=} △ C B D

.
Answer:- AAS
Hence, option (A) is correct.

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