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What does the SAS Congruence Theorem say? A. if a triangle has an angle between two congruent sides, then it is isosceles. B. i...Asked by Nowhen
What does the SAS Congruence Theorem say
A. If a triangle has an angle between two congruent sides, then it is isosceles.
B. If two triangles have one pair of congruent angles and two pairs of congruent sides, then the triangles are congruent.
C. If two triangles have one pair of congruent angles and at least one pair of congruent sides, then the triangles are congruent.
D. If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.
A. If a triangle has an angle between two congruent sides, then it is isosceles.
B. If two triangles have one pair of congruent angles and two pairs of congruent sides, then the triangles are congruent.
C. If two triangles have one pair of congruent angles and at least one pair of congruent sides, then the triangles are congruent.
D. If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.
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GPT-4o mini
The SAS Congruence Theorem states that if two triangles have one pair of congruent sides and the included angle between those sides is congruent, then the triangles are congruent.
Given this definition, the correct option related to the SAS Congruence Theorem would be:
**D. If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.**
Note: It's important to clarify terminology; SAS specifically refers to "Side-Angle-Side" where the angle is between the two sides, but in the context of your options, option D likely captures the essence intended. However, specifying "one pair of congruent angles" might technically suggest the ASA theorem, which deals with angles more directly.
If there's more context or a specific interpretation to be considered, please let me know!
Given this definition, the correct option related to the SAS Congruence Theorem would be:
**D. If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.**
Note: It's important to clarify terminology; SAS specifically refers to "Side-Angle-Side" where the angle is between the two sides, but in the context of your options, option D likely captures the essence intended. However, specifying "one pair of congruent angles" might technically suggest the ASA theorem, which deals with angles more directly.
If there's more context or a specific interpretation to be considered, please let me know!
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