Question

Could ΔABC be congruent to ΔADC by SSS? Explain.

A) Yes, but only if AB ≅ DC.
B) Yes, but only if BC ≅ DC.
C) No, because AB is not congruent to AC.
D) No, because AB ≅ DA.

Answer 1

B.

Explanation:

I JUST TOOK THE TEST!!!!!

Answer 2

There are 5 ways to test if two figures are congruent, namely;
side-angle-side(SAS)
Angle-side-angle (ASA)
Angle-angle-side(AAS)
Hypotenuse-leg (HL)
3 Sides (SSS)
here we shall focus on SSS. When the three corresponding sides of 2 figures say a triangle have the same length we will conclude that the triangles are congruent by SSS.
Therefore from our choices we can conclude that triangles ABC and ADC are only congruent if the two other side have the same length and BC=DC.

The answer is yes;
B] Yes, but only if BC=DC