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

Question

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 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.

Answer 1

The SAS (Side-Angle-Side) Congruence Theorem states that if two triangles have one pair of congruent sides and the angle between those sides is congruent, then the triangles are congruent.

So the correct response from your options is:

If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent. (This is the essence of the SAS theorem.)

However, please note that the phrasing "one pair of congruent angles" is misleading in this context. The correct version would emphasize that it's about sides and the angle between them. So, be cautious with the wording.