Question

1. how do these triangles appear to be similar? a) sas b) not similar c) sss d) aa 18. how do these triangles appear to be similar? (hint: look for non - labeled parts!) a) sas b) aa c) not similar d) sss

Explanation:

Step1: Recall similarity criteria

SAS (Side - Angle - Side) requires two pairs of proportional sides and the included angle equal. SSS (Side - Side - Side) requires all three pairs of corresponding sides proportional. AA (Angle - Angle) requires two pairs of corresponding angles equal.

Step2: Analyze first set of triangles

In the first set of triangles $\triangle EFL$ and $\triangle JKL$, we see two pairs of angles are marked as equal. So, they are similar by AA criterion.

Step3: Analyze second set of triangles

In the second set of triangles $\triangle GBR$ and $\triangle GZP$, $\angle G$ is common to both triangles and the angles at $R$ and $P$ are marked equal. So, they are similar by AA criterion.

Answer:

1. d) AA
2. b) AA