Maritza draw a rectangle on the coordinate plane and labels the verticals A, B, C, and D. She’s then reflects to figure across the X axis to get rectangle A’ B’ C’ D’. What is the measure of angle D’ in the reflected rectangle?
In a rectangle, opposite angles are congruent, meaning they have the same measure.
Since angles A and C are vertical angles, they are congruent.
Thus, angle D has the same measure as angle B'.
In the reflected rectangle A' B' C' D', angle D' is the reflection of angle D across the x-axis.
The measure of angle D' is therefore equal to the measure of angle D.
So, the measure of angle D' in the reflected rectangle is the same as the measure of angle D.