Question

determine if triangle abc and triangle def are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.) answer attempt 1 out of 2 the triangles similar.

Explanation:

Step1: Check ratio of corresponding sides

Calculate $\frac{46}{23}=2$ and $\frac{34}{17} = 2$.

Step2: Check included - angle

$\angle C=\angle F = 104^{\circ}$.

Step3: Apply similarity criterion

Since the ratios of two pairs of corresponding sides are equal ($\frac{AC}{DF}=\frac{BC}{EF}=2$) and the included angles are equal ($\angle C=\angle F$), by the Side - Angle - Side (SAS) similarity criterion, the triangles are similar.

Answer:

are