What does the SAS Congruence Theorem say?

Question

a. If two triangles have one pair of congruent angles and at least one pair of congruent sides, then the triangles are congruent
b. If a triangle has an angle between two congruent sides, then it is isosceles
c. If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent
d. If two triangles have one pair of congruent angles and two pairs of congruent sides, then the triangles are congruent

Answer 1

The correct answer that describes the SAS Congruence Theorem is:

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

The SAS (Side-Angle-Side) Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. However, since the description likely describes the angular relationship and the fact that both sides are equal, option d fits best as it reflects the essential aspect of side and angle congruence for triangle congruence as established by the theorem.

Please note that while option c is similar in trying to address relationships with angles and specific sides, the classical SAS theorem primarily focuses on sides and the included angle.