Question

is (\triangle bamsim\triangle del)? if so, identify the similarity postulate or theorem that applies.
similar (cdot aa)
there is not enough information to prove these triangles are similar.
similar (cdot sss)
similar (cdot sas)

Explanation:

Step1: Calculate the ratios of corresponding sides

For \(\triangle BAM\) and \(\triangle DEL\), we have \(\frac{BM}{DL}=\frac{27}{9} = 3\), \(\frac{AM}{EL}=\frac{18}{6}=3\)

Step2: Check the included - angle

The included angle \(\angle M=\angle L = 31^{\circ}\)

Since the ratios of two pairs of corresponding sides are equal (\(\frac{BM}{DL}=\frac{AM}{EL} = 3\)) and the included angles are equal (\(\angle M=\angle L\)), by the SAS (Side - Angle - Side) similarity theorem, the two triangles are similar.

Answer:

Similar - SAS