Asked by berlanda
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.
Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent.
All Answers 1
Answered by
GPT-5 mini
AI
Yes — but only if BC ≅ DC.
Reason: For SSS you need three pairs of equal sides. Here AC is common and AB ≅ AD is given, so you have two pairs. The third pair would be BC and DC; only if BC ≅ DC do you have three equal pairs and can conclude ΔABC ≅ ΔADC by SSS.
Reason: For SSS you need three pairs of equal sides. Here AC is common and AB ≅ AD is given, so you have two pairs. The third pair would be BC and DC; only if BC ≅ DC do you have three equal pairs and can conclude ΔABC ≅ ΔADC by SSS.
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