Question

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, △ABC ≅ △LMN
by the SSS Congruence Theorem.

Yes, △ABC ≅ △MLN
by the SSS Congruence Theorem.
Yes, △ABC ≅ △MLN
by the SSS Congruence Theorem.

Yes, △ABC ≅ △MNL
by the SSS Congruence Theorem.
Yes, △ABC ≅ △MNL
by the SSS Congruence Theorem.

No
No
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Answer 1

To determine if the triangles are congruent, we need to know the measures of their sides and the arrangement of the triangles. The Side-Side-Side (SSS) Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Since you provided options for congruence statements but did not give specific measurements or information about the triangles, I cannot definitively conclude whether the triangles are congruent or not.

If you confirm that all corresponding sides of triangles ABC and LMN (or MLN or MNL) are equal, then you could state:

• Yes, △ABC ≅ △LMN by the SSS Congruence Theorem.

If they are not equal, the correct answer would be "No."

Please provide the side lengths or any additional context for further analysis!