Question

What does the SAS Congruence Theorem say?(1 point) Responses If two triangles have one pair of congruent angles and at least one pair 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. 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 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 and two pairs of congruent sides, then the triangles are congruent.

Answer 1

The correct statement for the SAS (Side-Angle-Side) Congruence Theorem is:

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

This means that if you know two sides of one triangle are the same length as two sides of another triangle, and the angle formed between those two sides in both triangles is congruent, then the triangles themselves are congruent.

Therefore, the response that aligns with this definition is:

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