Question

From the diagram below, we can say that ___.Select one:a.can not be determinedb.the two triangles are not similarc.Δ LNM is similar to Δ PNO by AA.d.Δ LNM is similar to Δ PNO by ASA.

Answer 1

We need to select the correct option for triangles LNM and PNO.

Notice that the horizontal lines are both marked with an arrow. This means they are parallel lines.

Also, when a pair of parallel lines are crossed by a transversal, the alternate internal angles formed are congruent. Thus, we have:

`m\angle L=m\angle P`

And vertically opposite angles are congruent. Thus:

`m\angle L\hat{N}M=m\angle P\hat{N}O`

Therefore, the triangles are similar, since they have two congruent angles.

Answer