Question

Are these triangles congruent ?

And what is the theorem ?

Answer 1

Answer: Yes they are congruent, By SSS

Explanation:

2 sides are marked as congruent, and the 3rd side is congruent to itself by the reflexive property of equality.

Answer 2

Yes, they are congruent. Theorem: SSS

Explanation:

The triangles are congruent because it is given that they have 2 sides that are the same (hence the matching tick marks). In the diagram, you can also see that they share a side. Since all three sides on both triangles are the same, the two triangles are congruent by the SSS theorem.