Mia draws a rectangle on the coordinate plane and labels the vertices a,b,c and d she then reflects the figure of cross the x-axis to get rectangle A' B' C' D' what is the measure of angle D' in the reflected rectangle
When a figure is reflected across the x-axis, the y-coordinates of its vertices are multiplied by -1. Since rectangle ABCD is reflected to rectangle A'B'C'D', the y-coordinate of vertex D' would be the negative of the y-coordinate of vertex D.
If α represents the measure of angle D in rectangle ABCD, then in rectangle A'B'C'D', the measure of angle D' would also be α. This is because corresponding angles of congruent rectangles are congruent.
Therefore, the measure of angle D' in the reflected rectangle is α, which is equal to the measure of angle D in the original rectangle.