PLEASE ANSWER THIS

Question

A 90° rotation around the origin followed by a reflection over the vertical line x = 3 maps △JKL, with coordinates J(–2, 2), K(–2, 6), and L(–8, 2), to △PQR. Find the area of △PQR.

Area of △PQR = ___ square units

Answer 1

Rotations and reflections are rigid transformations, meaning that they do not change the shape of the object. Hence triangle PQR is congruent to triangle JKL and has the same area. So figure out the area of triangle JKL and you have the answer. For a triangle, Area = (1/2)·base·height. If you plot the points J, K, and L on a coordinate plane, you can easily measure the base and height. Use an app like desmos.com or geogebra.com.