Question

14 what method can be used to prove the triangles below are congruent? 1 point a sas b aas c asa d not possible 16 given nl bisects ∠knm & ∠klm prove △nkl≅△lmn 7 points

Explanation:

1. Analyze the congruence - criteria:

• SAS (Side - Angle - Side) requires two sides and the included angle of one triangle to be congruent to the corresponding two sides and included angle of another triangle.
• AAS (Angle - Angle - Side) requires two angles and a non - included side of one triangle to be congruent to the corresponding two angles and non - included side of another triangle.
• ASA (Angle - Side - Angle) requires two angles and the included side of one triangle to be congruent to the corresponding two angles and included side of another triangle.

1. For the given figure, if we assume we have information about two sides and the included angle being congruent, we can use SAS. But without seeing the figure details (like which sides and angles are marked as congruent), we can't be sure. However, if we consider the general knowledge of congruence rules, we need to check the given markings on the triangles.

Answer:

We need more information about the markings on the triangles to determine the correct congruence method. If two sides and the included angle are congruent, the answer is A. SAS; if two angles and a non - included side are congruent, the answer is B. AAS; if two angles and the included side are congruent, the answer is C. ASA; if there is not enough information, the answer is D. Not Possible.