Question

Which is a true statement about the triangles?L1814N2127KMAJLN AMKN by Side-Angle-Side(SAS) similarityAJLN ~ AKMN by Side-Angle-Side(SAS) similarityAJLN ~ AKMN by Side-Side-Side(SSS) similarityO The triangles are not similar.

Answer 1

We have two triangles that have a common vertice.

So

$\measuredangle JNL=\measuredangle MNK$

because they are opposite angles by the vertex.

Now, we must check if the sides that form the angles are proportional.

$\frac{\bar{MN}}{\bar{LN}}=\frac{\bar{KN}}{\bar{JN}}$$\begin{gathered} \frac{27}{18}=\frac{21}{14} \\ 1.5=1.5 \end{gathered}$

So, they are proportional.

That means that the triangles are similar by Side-Angle-Side similarity. The first option is true.