Question

If we know that two sets of corresponding angles and the corresponding included sides are congruent in two triangles, what can we say about the triangles?

A. We can't determine if the triangles are congruent.
B. They're congruent by SSS.
C. They're congruent by ASA.
D. They're congruent by SAS.

Answer 1

The answer is C. They are congruent by ASA.

Answer 2

Answer: C. They're congruent by ASA.

Explanation:

Given: Two sets of corresponding angles and the corresponding included sides are congruent in two triangles.

So by ASA congruence postulate, the two triangles are congruent.

• ASA congruence postulate says that if two angles and the included side of a triangle are congruent to the corresponding parts of other triangle then the triangles are said to be congruent.