Question

trapezoid klmn is reflected over the x - axis to form trapezoid wxyz. which statement is true?
the area of trapezoid klmn is greater than the area of trapezoid wxyz.
the angle measures of trapezoid klmn are less than the corresponding angle measures of trapezoid wxyz.
the sum of the angle measures of trapezoid klmn is twice the sum of the angle measures of trapezoid wxyz.
the side lengths of trapezoid klmn are congrunt to the corresponding side lengths of trapezoid wxyz.

Explanation:

Step1: Recall reflection property

A reflection is a rigid - motion transformation. Rigid - motion transformations preserve side lengths and angle measures.

Step2: Analyze area

Since side lengths and angle measures are preserved, the area of the pre - image (trapezoid KLMN) and the image (trapezoid WXYZ) are equal. So, the area of trapezoid KLMN is not greater than the area of trapezoid WXYZ.

Step3: Analyze angle measures

The angle measures of the pre - image and the image are equal. So, the angle measures of trapezoid KLMN are not less than the corresponding angle measures of trapezoid WXYZ.

Step4: Analyze sum of angle measures

The sum of the interior angle measures of a trapezoid is always 360 degrees for both the pre - image and the image. So, the sum of the angle measures of trapezoid KLMN is not twice the sum of the angle measures of trapezoid WXYZ.

Step5: Analyze side lengths

Because reflection is a rigid - motion transformation, the side lengths of trapezoid KLMN are congruent to the corresponding side lengths of trapezoid WXYZ.

Answer:

The side lengths of trapezoid KLMN are congruent to the corresponding side lengths of trapezoid WXYZ.