Question

triangle trs is rotated about point x, resulting in triangle bac. 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 the property of rotation

Rotation is a rigid transformation. Rigid transformations (rotations, translations, reflections) preserve the lengths of the sides of a figure. So, \(\triangle TRS\cong\triangle BAC\) (congruent triangles).

Step2: Identify the corresponding sides

In congruent triangles \(\triangle TRS\) and \(\triangle BAC\), the side \(RS\) corresponds to the side \(AB\).

Answer:

\(10\) ft (since \(RS = AB\) and \(AB = 10\) ft)