In a quadrilateral ABCD, AB || CD, and AC is a diagonal. If AB = CD, which of the following is true?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. ABC CDA by SAS.
In ΔABC and ΔCDA, AB ∥ CD
∠BAC = ∠ACD (Alternate angles)
AC = AC (Common side)
AB = CD (Given)
⇒ ΔABC ≅ ΔCDA (by SAS)