Three triangles are arranged horizontally: upper A upper B upper C, upper X upper Y upper Z, and upper L upper M upper N. Tick marks and arcs are used to show congruent sides and angles of the triangles.

Question

Which two triangles are congruent by the AAS Congruence Theorem? Enter the number of the correct option.

Option #1: ΔABC≅ΔXYZ


Option #2: ΔABC≅ΔLMN


Option #3: ΔXYZ≅ΔLMN


(1 point)
Option #
.

Answer 1

To determine which two triangles are congruent by the AAS (Angle-Angle-Side) Congruence Theorem, we need to analyze the information provided about the triangles.

The AAS Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Since I cannot physically see the configuration of the triangles with the specified congruences marked with tick marks and arcs, you need to apply the following approach:

1. Identify which pairs of angles are marked as congruent between each pair of triangles.
2. Check if there is a non-included side that is also marked as congruent for the selected pair of triangles.
3. Compare the information across the options given and look for the pair that satisfies the AAS criteria.

Please check the congruencies marked in your triangles according to these steps and select the option that meets the AAS criteria. If you provide the specifics about which angles and sides are congruent, I could help you determine the correct option more accurately!