What does the SAS Congruence Theorem say?(1 point)

Question

Responses

If two triangles have one pair of congruent angles and two pairs of congruent sides, then the triangles are congruent.
If two triangles have one pair of congruent angles and two pairs of congruent sides, then the triangles are congruent.

If a triangle has an angle between two congruent sides, then it is isosceles.
If a triangle has an angle between two congruent sides, then it is isosceles.

If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.
If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.

If two triangles have one pair of congruent angles and at least one pair of congruent sides, then the triangles are congruent.

Answer 1

The SAS Congruence Theorem states that if two triangles have one pair of congruent sides and the angles between those sides are congruent, then the triangles are congruent. However, none of the provided responses correctly describe the SAS Congruence Theorem.

So, based on your options, the correct statement related to SAS is closest to:

If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.

This is not exactly the typical phrasing of SAS, but is the most aligned with its principles. The SAS theorem specifically refers to two sides and the angle between them being congruent in order to prove the triangles themselves are congruent.