Question

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

Answer 1

Correct Answer - 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).