Question

1. similar: _ similar statement: _

Explanation:

Step1: Check the ratio of corresponding sides

Calculate the ratios of the corresponding sides. $\frac{CA}{AR}=\frac{12}{8}=\frac{3}{2}$, $\frac{SA}{TA}=\frac{9}{6}=\frac{3}{2}$.

Step2: Check the included - angle

The included angles $\angle CAS=\angle TAR = 45^{\circ}$.

Step3: Apply the similarity criterion

By the Side - Angle - Side (SAS) similarity criterion, the two triangles are similar.

Answer:

Yes; $\triangle CAS\sim\triangle TAR$