Question

similar figures quiz. determine whether the triangles are similar by sas-, aa-, sss- or none. o sas-. o aa-. o sss-. o none apply, sides are not proportional. o none apply, angles are not the same.

Explanation:

Step1: Find angles in first triangle

In triangle $SYE$, one angle is $90^{\circ}$ and another is $39^{\circ}$. Using the angle - sum property of a triangle ($180^{\circ}$ in a triangle), the third angle is $180-(90 + 39)=51^{\circ}$.

Step2: Compare angles

In triangle $HWC$, one angle is $90^{\circ}$ and another is $51^{\circ}$. Since two pairs of corresponding angles in triangles $SYE$ and $HWC$ are equal ($90^{\circ}$ and $51^{\circ}$), by the AA (angle - angle) similarity criterion, the triangles are similar.

Answer:

AA -