Question

1. what similarity property, if any, can be used to show that the following two triangles are similar. sss aa sas not enough information given

Explanation:

Step1: Calculate the ratios of corresponding sides

For triangles \( \triangle LMP\) and \( \triangle HKG\), we have \(\frac{LP}{KG}=\frac{15}{12}=\frac{5}{4}\), \(\frac{MP}{HG}=\frac{20}{16}=\frac{5}{4}\)

Step2: Check the included angle

The included angle \( \angle P=\angle G = 42^{\circ}\)

Since the ratios of two pairs of corresponding sides are equal and the included angles are equal, by the SAS (Side - Angle - Side) similarity criterion, the two triangles are similar.

Answer:

SAS