In a quadrilateral ABCD, a line segment BD is a diagonal such that AB = CD and ∠ABD = ∠CDB. Are the triangles ABD and CDB congruent? If so, by what rule?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Yes, by SAS.
In ΔABD and ΔCDB,
AB = CD
∠ABD = ∠CDB
BD is a common side
ΔABD and ΔCDB are congruent by the SAS rule.