Question

the sas congruence theorem quick check
what does the sas congruence theorem say? (1 point)
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 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

Explanation:

The SAS (Side - Angle - Side) Congruence Theorem states that for two triangles, if two sides and the included angle (the angle between the two sides) of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

• The first option is incorrect because it doesn't specify that the angle is between the two sides.
• The second option is about an isosceles triangle (a single triangle property) and not about triangle congruence.
• The fourth option is too vague as it doesn't mention the relationship between the angle and the sides (i.e., the angle being between the two sides).

Answer:

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