Asked by martin
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
Correct answer: Yes, but only if BC ≅ DC.
Explanation: For SSS you need three pairs of equal sides. Here AB ≅ AD and AC ≅ AC (common), so the third pair must be BC ≅ DC for ΔABC ≅ ΔADC by SSS.
Explanation: For SSS you need three pairs of equal sides. Here AB ≅ AD and AC ≅ AC (common), so the third pair must be BC ≅ DC for ΔABC ≅ ΔADC by SSS.
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