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QUESTION IMAGE

triangle trs is rotated about point x, resulting in triangle bac. if ab…

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? figure may not be drawn to scale

Explanation:

Step1: Recall rotation property

Rotation is a rigid - motion transformation. Rigid - motion transformations preserve the size and shape of the figure. So, corresponding sides of the pre - image and the image are congruent.

Step2: Identify corresponding sides

Since triangle TRS is rotated about point X to result in triangle BAC, side RS corresponds to side BC.

Answer:

C. 20 ft