SSC CGL 2025 PYQ — Question 56

SSC CGL - 19 Sep 2025 - Shift 3 • Quantitative Aptitude • Q56

In ΔABC, an angle bisector from A meets BC at D. If AD bisects ∠BAC, and AB = AC, are ΔABD and ΔACD 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 ΔACD,

AB = AC

AD = Common side

∠BAD = ∠CAD

ΔABD ≅ ΔACD by SAS