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

Responses

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.
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 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.

1 answer

The correct definition of the SAS (Side-Angle-Side) Congruence Theorem is:

If two triangles have one pair of congruent sides, the included angle congruent, and another pair of congruent sides, then the triangles are congruent.

However, based on the responses provided, the closest match would be:

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

It's worth noting that this is not the traditional definition of SAS but seems to reflect the relationships between sides and angles in a way that leads to congruence under certain conditions. However, the best answer reflects SAS being between specifically two congruent sides and the included angle.