Question

What does the SAS Congruence Theorem say?(1 point) 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 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. 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 two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.

Answer 1

The SAS Congruence Theorem states that if two triangles have two pairs of congruent sides and the included angle between those sides is congruent, then the triangles are congruent.

Among the options you provided, the closest statement that reflects the SAS Congruence Theorem is: If two triangles have one pair of congruent angles and two pairs of congruent sides, then the triangles are congruent. However, it's important to note that the standard formulation of SAS specifically emphasizes the two sides and the included angle rather than angles alone.

If you're looking for the precise definition, it's more accurate to say that the theorem relates to two sides and the included angle being congruent.

Answer 2

Choose the options provided

Answer 3

Based on the options you provided, the correct response that aligns with the SAS Congruence Theorem is:

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

This reflects the idea that if two sets of sides are congruent in addition to the angle, the triangles are indeed congruent.

Answer 4

Wrong

Answer 5

I apologize for the confusion. Based on your provided options, the correct statement regarding the SAS Congruence Theorem is:

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

This option clearly relates to the concept of SAS, indicating that two sides and the included angle is what determines the congruence of the triangles. Thank you for your patience!