Question

Triangle TRS is rotated about point X, resulting in triangle BAC.

Triangle T R S is rotated about point X to form triangle B A C. The lengths of sides T R and A B are congruent, the lengths of sides A C and R S are congruent, and the lengths of sides T S and B C are congruent.

If AB = 10 ft, AC = 14 ft, and BC = 20 ft, what is RS?

10 ft
14 ft
20 ft
24 ft

Answer 1

Rotation is a rigid motion, so corresponding sides are equal. We're told RS ≅ AC and AC = 14 ft, so RS = 14 ft.