Question

based on the given information, which of the following can be used to prove these triangles are similar?
aa
there is not enough information to prove these triangles are similar.
sas
sss

Explanation:

Step1: Check the ratio of sides

For \(\triangle EFG\) and \(\triangle HJK\), we have \(\frac{EF}{HJ}=\frac{10}{5} = 2\), \(\frac{FG}{HK}=\frac{12}{6}=2\).

Step2: Check the included angle

The included angle \(\angle G\) in \(\triangle EFG\) and \(\angle H\) in \(\triangle HJK\) are equal (given as marked angles).
By the SAS (Side - Angle - Side) similarity criterion, if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the two triangles are similar.

Answer:

SAS