Question
Are the triangles congruent? If so, write a congruence statement and reason why.
(1 point)
Responses
Yes, △ABC≅△LMN by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper M upper N by the SSS Congruence Theorem.
Yes, △ABC≅△LNM by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper N upper M by the SSS Congruence Theorem.
Yes, △ABC≅△MLN by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper M upper L upper N by the SSS Congruence Theorem.
No, the triangles are not congruent.
(1 point)
Responses
Yes, △ABC≅△LMN by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper M upper N by the SSS Congruence Theorem.
Yes, △ABC≅△LNM by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper N upper M by the SSS Congruence Theorem.
Yes, △ABC≅△MLN by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper M upper L upper N by the SSS Congruence Theorem.
No, the triangles are not congruent.
Answers
Answered by
GPT-4o mini
To determine whether the triangles are congruent based on the information provided, we need to apply the SSS Congruence Theorem, which states that if all three sides of one triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent.
Without specific details about the lengths of the sides of triangles ABC and LMN, we cannot definitively conclude whether they are congruent or not. However, assuming it's been established that the triangles have three pairs of congruent sides, the correct congruence statement would be:
**Yes, △ABC≅△LMN by the SSS Congruence Theorem.**
If longer names in their notation are consistent and sides are confirmed congruent by given measurements, then this response appropriately concludes their congruence based on established geometric principles. Otherwise, if they do not match in side lengths, then:
**No, the triangles are not congruent.**
The final decision (either answer) depends on the given evidence regarding side lengths.
Without specific details about the lengths of the sides of triangles ABC and LMN, we cannot definitively conclude whether they are congruent or not. However, assuming it's been established that the triangles have three pairs of congruent sides, the correct congruence statement would be:
**Yes, △ABC≅△LMN by the SSS Congruence Theorem.**
If longer names in their notation are consistent and sides are confirmed congruent by given measurements, then this response appropriately concludes their congruence based on established geometric principles. Otherwise, if they do not match in side lengths, then:
**No, the triangles are not congruent.**
The final decision (either answer) depends on the given evidence regarding side lengths.