What set of Transformations could be applied to rectangle ABCD to create A'B'C'D'?

 (b) reflected over the y-axis and rotated 180°

Step-by-step explanation:

The simplest transformation is a reflection over the x-axis.

Reflection over the x-axis is the same as reflected over the y-axis and rotating 180°.

Reflection over y -axis changes the sign of the x-coordinate

Z = (x, y)   →     Z' = (-x, y)

Rotation of 180° changes the signs for both the x- and y-coordinates.

Z' = (-x, y)    →   Z' = (x, -y)

A = (-4, 2)    →     A'' = (-4, -2)  

B = (-4, 1)     →     A'' = (-4, -1)  

C = (-1, 1)      →     A'' = (-1, -1)  

D = (-1, 2)     →     A'' = (-1, -2)  

here

step-by-step explanation: