Question

trapezoid hjl is rotated 270° clockwise about the origin to form trapezoid hjxl. which statements are true? a. trapezoid hjl is congruent to trapezoid hjxl. b. the area of trapezoid hjl is greater than the area of trapezoid hjxl. c. the perimeter of trapezoid hjxl is greater than the perimeter of trapezoid hjl. d. the sum of the angle - measures of trapezoid hjxl is greater than the sum of the angle - measures of trapezoid hjl. e. the angle measures of trapezoid hjxl are equal to the corresponding angle measures of trapezoid hjl.

Explanation:

A rotation is a rigid - motion transformation. Rigid - motion transformations preserve side lengths, angle measures, perimeter, and area. So, the pre - image (trapezoid HJLK) and the image (trapezoid H'J'L'K') after a 270 - degree clockwise rotation about the origin are congruent. Congruent figures have equal side lengths, equal angle measures, equal perimeters, and equal areas. The sum of the angle measures of a quadrilateral is always 360 degrees for both the pre - image and the image.

Answer:

A. Trapezoid HJLK is congruent to trapezoid H'J'L'K'
E. The angle measures of trapezoid HJLK are equal to the corresponding angle measures of trapezoid H'J'L'K'