Question

Use the given information to determine which of the following relationships can be proved and why?

Answer 1

LMN = OPQ because of ASA

Explanation:

Answer 2

Answer: A. Δ LMN ≅ ΔOPQ because of AAS.

Explanation:

In the given picture, we have two triangles Δ LMN and ΔOPQ.

Also it is given that in Δ LMN and ΔOPQ.

`\angle{L}=\angle{O}`

`\angle{M}=\angle{P}`

`\overline{LN}=\overline{OQ}`

So by AAS theorem, we have

Δ LMN ≅ ΔOPQ.

• AAS theorem says that if two angles and any side of a triangle are congruent to two angles and any side of another triangle then the two triangles are congruent.