Question

triangle trs is rotated about point x, resulting in triangle bac. figure may not be drawn to scale if ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs?
○ 10 ft
○ 14 ft
○ 20 ft
○ 24 ft

Explanation:

Step1: Recall rotation property

Rotation is a rigid transformation, so corresponding sides of the original and rotated triangles are equal.

Step2: Identify corresponding sides

Triangle TRS is rotated to triangle BAC, so \( RS \) corresponds to \( AC \).

Step3: Use given length of \( AC \)

Given \( AC = 14 \) ft, so \( RS = AC = 14 \) ft.

Answer:

14 ft