Question

NEED HELP ASAP!! Is there enough information to prove that the triangles are congruent?

If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.

If no, justify your answer.

Answer 1

No.

There's no congruence theorem or statement that proves that 2 triangles with 2 sides and a non-included angle are congruent to each other.

Explanation:

The triangles given, ∆ABC and ∆CYZ both have a non-included angle and two sides given that are congruent to each other.

However, this alone is not enough to prove that both ∆s are congruent to each other because there is also possiblity of another ∆ that will have the same two equal sides and a non-included angle as any of the 2, and can thereby have different shape and size.

There's also no congruency statement that proves that two triangles with congruent two sides and a non-included angle are congruent to each other.

Therefore, the information to us is not enough.