Question

What additional information would you need to prove that ΔABC ≅ ΔDEF by SAS?


Triangle ABC is drawn with a single hash mark between A and B and triangle DEF is marked with a single hash mark between D and E. Angle B and angle E are marked congruent.


A.) segment AC ≅ segment EF

B.) segment BC ≅ segment FE

C.) segment AC ≅ segment FE

D.) segment BC ≅ segment EF

Answer 1

segment BC ≅ segment EF

Answer 2

We have drawn the two trainagles as required in the attachment.

As we can see the side AB is equal to the side DE. Also we are given that angle B = angle E. So we know one side and one angle are equal.

To be congruent, we need another side to be equal this could be either of the two :

(i) Segment AC ≅ Segment FD or

(ii) Segment BC ≅ Segment EF

Since we do not have (i) listed as any option, we select the second one

So, the answer is Segment BC ≅ Segment EF (Option D)