Question

Determine if the two triangles are congruent when y=10. If so, write the congruence statement along with which congruence theorem proves that they are congruent.Two triangles with vertices, sides, and angles labeled.(1 point)Responses △JKL≅△MNO by the ASA Congruence Theorem. △JKL≅△MNO by the ASA Congruence Theorem. △JKL≅△MNO by the SAS Congruence Theorem. △JKL≅△MNO by the SAS Congruence Theorem. △JKL≅△MNO by the AAS Congruence Theorem. △JKL≅△MNO by the AAS Congruence Theorem.The triangles are not congruent.

Answer 1

To determine if the triangles are congruent when \( y=10 \), you need to analyze the specific measurements of the triangles' corresponding sides and angles with this value of \( y \).

Without the specific side lengths and angle measurements provided in your problem, I can’t make a definitive conclusion about the congruence of triangles \( \triangle JKL \) and \( \triangle MNO \).

However, here’s how you would generally approach this problem:

1. **Calculate the sides and angles** using the value \( y=10 \).
2. **Compare the corresponding sides and angles** of both triangles.
3. Identify which congruence theorem applies based on the information you have (Sides-Angles-Sides (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), etc.).

Once you confirm the corresponding elements are equal as per the theorem's requirements, you would write the congruence statement.

If you provide the specific measurements for the triangles when \( y=10 \), I can help with a more precise conclusion regarding their congruence.