Answer :
Answer:
Angle LOA = angle LMA
Step-by-step explanation:
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From the diagram, the two triangles have an indication of a pair of
congruent angles.
- The additional information needed is; ∠LOA ≅ ∠LMA
Reasons:
The given parameters of ΔLOA and ΔLAM are;
The shared side of the triangles = Side LA
From the attached diagram, we have;
∠ALO = ∠ALM
Required:
The additional information needed to prove that the triangles are congruent using AAS
Solution:
The AAS congruency is an acronym for Angle Angle Side, which states
that, two triangles are similar if two angles and a non included side of one
triangle are equal to two angles and a non included side on another
triangle, then the two triangles are congruent.
The angle on ΔLOA that will make the side LA a non included side is ∠LOA.
Similarly;
The angle on ΔLAM that will make the side LA a non included side is ∠LMA.
Therefore, the additional information needed to prove that the triangle are congruent using the AAS congruency theorem is; ∠LOA ≅ ∠LMA
Learn more about Angle Angle Side, AAS, rule of congruency here:
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