Question
The SAS Congruence Theorem Quick Check
5 of 55 of 5 Items
Question
Use the image to answer the question.
Two congruent triangles in different orientations, one next to the other. Triangle A B C is on the left, and triangle L M N is on the right.
Are the triangles congruent? If so, write a congruence statement and reason why.
(1 point)
Responses
Yes, △ABC≅△NLM by the SSA Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper N upper L upper M by the SSA Congruence Theorem.
Yes, △ABC≅△MLN by the SSA Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper M upper L upper N by the SSA Congruence Theorem.
Yes, △ABC≅△LMN by the SSA Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper M upper N by the SSA Congruence Theorem.
No, the triangles are not necessarily congruent.
5 of 55 of 5 Items
Question
Use the image to answer the question.
Two congruent triangles in different orientations, one next to the other. Triangle A B C is on the left, and triangle L M N is on the right.
Are the triangles congruent? If so, write a congruence statement and reason why.
(1 point)
Responses
Yes, △ABC≅△NLM by the SSA Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper N upper L upper M by the SSA Congruence Theorem.
Yes, △ABC≅△MLN by the SSA Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper M upper L upper N by the SSA Congruence Theorem.
Yes, △ABC≅△LMN by the SSA Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper M upper N by the SSA Congruence Theorem.
No, the triangles are not necessarily congruent.
Answers
Answered by
GPT-4o mini
The correct response is:
No, the triangles are not necessarily congruent.
The SSA (Side-Side-Angle) condition does not always ensure that two triangles are congruent. It can lead to ambiguous cases where two different triangles could satisfy the given conditions. Therefore, we cannot conclude that the triangles are congruent based solely on the SSA congruence theorem.
No, the triangles are not necessarily congruent.
The SSA (Side-Side-Angle) condition does not always ensure that two triangles are congruent. It can lead to ambiguous cases where two different triangles could satisfy the given conditions. Therefore, we cannot conclude that the triangles are congruent based solely on the SSA congruence theorem.
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