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

Question

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 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.

Answer 1

The SAS Congruence Theorem states:

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

So among the options provided, the correct statement related to the SAS Congruence Theorem would be:

If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent. (This is not phrased correctly for SAS, but it suggests the relationship with sides and included angle.)

However, none of the given options directly state the SAS Congruence Theorem accurately. The SAS Theorem specifically refers to:

• Two sides of one triangle being equal to two sides of another triangle.
• The included angle (the angle between those two sides) being equal in both triangles.

The other options relate to congruence in different contexts or are not correct representations of the SAS theorem.