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: Use the property of translation

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

Using a protractor (or by observing the grid - based right - angle structure for the vertical and horizontal sides of the figure at point A, assuming the figure has right - angle at A due to the grid alignment of sides AD and AB), ∠A = 90 degrees.

Step3: Since ∠A and ∠E are corresponding angles

Because of the translation property (corresponding angles of translated figures are equal), ∠E=∠A. So ∠E = 90 degrees.

Answer:

The measure of ∠A is 90 degrees. The measure of ∠E is 90 degrees. The angles have the same measure.