Question

the figure that results from a transformation is called the image. figure abcd is translated to get its image. figure efgh. look at ∠a and ∠e. complete the statements. the measure of ∠a is degrees. the measure of ∠e is degrees. the angles have

Explanation:

Step1: Understand translation property

Translation is a rigid transformation. Rigid transformations preserve the shape and size of the figure. So, corresponding angles of the original figure and its translated image are congruent.

Step2: Measure ∠A

By observing the figure (assuming standard grid - based right - angle determination, since \(AD\) is vertical and \(AB\) is horizontal in the original trapezoid \(ABCD\)), \(\angle A = 90^{\circ}\).

Step3: Use translation property for ∠E

Since \(EFGH\) is the translated image of \(ABCD\), and \(\angle E\) corresponds to \(\angle A\). By the property of translation (rigid transformation), \(\angle E=\angle A\).

Answer:

The measure of \(\angle A\) is \(90\) degrees. The measure of \(\angle E\) is \(90\) degrees. The angles have the same measure.