Question

which series of transformations will map rectangle abcd to rectangle abcd?

Explanation:

Step1: Analyze vertical movement

Notice that each point of rectangle ABCD moves 3 units up to get to rectangle A'B'C'D'. For example, if we consider the y - coordinates of corresponding points, the transformation for vertical movement is (x,y)→(x,y + 3).

Step2: Analyze horizontal movement

Each point of rectangle ABCD moves 2 units to the left to get to rectangle A'B'C'D'. That is, the transformation for horizontal movement is (x,y)→(x - 2,y). So the series of transformations is a translation 2 units to the left and 3 units up.

Answer:

A translation 2 units to the left and 3 units up.