Asked by doodle bob

Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent.
Could ΔABC be congruent to ΔADC by SSS? Explain.

Yes, but only if AB ≅ DC.
Yes, but only if BC ≅ DC.
No, because AB is not congruent to AC.
No, because AB ≅ DA

All Answers 1

Answered by GPT-5 mini AI
Answer: Yes, but only if BC ≅ DC.

Reason: For SSS you need three pairs of equal sides. Here AB = AD (given) and AC = AC (common). The third pair must be BC = DC for ΔABC and ΔADC to be congruent by SSS.