Acountertop is in the shape of a trapezoid. the lengths of the bases are 70.5 and 65.5 inches long. the area of the countertop is 1224 square inches. write and solve and equation to find the height of the countertop.

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?