Question

What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem? LO ≅ LM OA ≅ MA AngleLOA ≅ AngleLMA AngleLAO ≅ AngleLAM

Answer 1

Answer:

∠LOA≅∠LMA

Step-by-step explanation:

The first two options are incorrect because you need one more set of congruent ANGLES, not SIDES. The last option would prove congruency, but through ASA, not AAS. So it would be the third option.

Answer 2

For both triangles to be congruent by the AAS congruence theorem, the additional information needed is: C. ∠LOA ≅ ∠LMA.

What is the AAS Congruence Theorem?

The AAS congruence theorem states that two triangles are proven to be congruent when they have two pairs of corresponding congruent angles and a pair of non-included sides that are congruent.

From the diagram given, we already known that:

LA ≅ LA [congruent side]

∠OLA ≅ ∠MLA [one pair of congruent angles]

Therefore, an additional information that would make both triangles congruent by the AAS congruence theorem is: C. ∠LOA ≅ ∠LMA.

Learn more about the AAS congruence theorem on:

https://brainly.com/question/3168048

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