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, \(\triangle TRS\cong\triangle BAC\) (by the property of rotation).

Step2: Identify corresponding sides

In congruent triangles \(\triangle TRS\) and \(\triangle BAC\), \(RS\) corresponds to \(BC\). That is, \(RS = BC\) (corresponding parts of congruent triangles are equal).

Answer:

\(20\) ft (since \(BC = 20\) ft and \(RS=BC\))