Question

determine a series of transformations that would map polygon abcde onto polygon abcde? a dilation centered at the origin with a scale factor of 2 followed by a rotation of 270° counterclockwise about the origin

Explanation:

Step1: Analyze dilation

A dilation centered at the origin with a scale - factor of 2 multiplies the x and y - coordinates of each vertex of polygon ABCDE by 2. For a point (x,y) in polygon ABCDE, after dilation, it becomes (2x,2y).

Step2: Analyze rotation

A 270° counter - clockwise rotation about the origin has the transformation rule (x,y)→(y, - x). After the dilation, when we apply this rotation to the dilated points, we can map polygon ABCDE onto polygon A'B'C'D'E'.

Answer:

A dilation centered at the origin with a scale factor of 2 followed by a 270° counter - clockwise rotation about the origin.