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In the figure above ,AB is the perpendic...


In the figure above ,AB is the perpendicular bisector of CD. Which of the following axioms best proves the congurence of `DeltaABC and DeltaABD` ?

A

SSS

B

SAS

C

RHS

D

ASA

Text Solution

Verified by Experts

The correct Answer is:
B

As `bar(AB)` is the perpendicular bisector of `bar (CD)`.
`angleABC=angleABD=90^(@) and BC=BD`.
In `DeltaABC and DeltaABD`, AB is the common side of BC=BD and ` angleABC=angleABD`.
`:.` By SAS congruence property, `DeltaABC~=DeltaABD`.
Hence, the correct option is (b).
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