The SAS Congruence Theorem Quick Check

Question

The SAS Congruence Theorem Quick Check

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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 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 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.
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Answer 1

Bot GPT 4-o mini answered
1 month ago

The correct statement regarding the SAS Congruence Theorem is:

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

In simpler terms, it can also be expressed as:

**If two triangles have two pairs of congruent sides and the included angle between them is congruent, then the triangles are congruent.**

This means that the essential aspect of the SAS (Side-Angle-Side) Congruence Theorem is that the angle must be the one formed between the two sides being compared.

So, none of the provided responses quite correctly capture this definition of the SAS Congruence Theorem directly, but look for the option that mentions "one pair of congruent sides" along with "two pairs of congruent sides" for the closest understanding of the theorem.