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

Question

asked May 5, 2019 47.8k views

2 Answers

Gronnbeck · Answer 1 · 2019-05-12T01:11:41+0000

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.