Question

Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove by SSS or SAS, then write “not enough information” and explain why.

Answer 1

Answer (d) :

These triangles are congruent under the SAS congruence criterion. We can prove it using the following steps :

Given :

In triangle 1 and 2 :

• A side in triangle 1 and a side in triangle 2 are equal.
• Another side in triangle 1 and triangle 2 is equal.
• The angle between the equivalent sides is also equal.

Since the SAS congruence criterion says that two triangles are congruent if two of their sides and one included angle is equal and since these 2 triangles fulfill all of those rules, we can conclude that these triangles are congruent under the SAS congruence criterion.