Quadrilateral ABCD has coordinates A(−2, 0), B(0, 4), C(4, 6), and D(2, 2). What are the coordinates of the image Rx-axis(ABCD) = A′B′C′D′?

Answer 1

For the quadrilateral to be reflected across the x-axis you are moving it vertically. The vertical change is the y value.

Your x-values will not change as it is only a reflection across a horizontal line. Your y-values will change in your ordered pairs by becoming their opposites

A'(-2,0) Doesnt change because it is on the x-axis)

B' (0,-4)

C' (4,-6)

D'(2,-2)

Notice only the y values changed for a reflection across the x-axis because you are moving vertically.