Question

determine what transformations would map polygon abcde onto polygon abcde.

Explanation:

Step1: Check for reflection

Observe the orientation of the polygons. The pink - colored polygon ABCDE and the blue - colored polygon A'B'C'D'E' are mirror images of each other. The line of reflection appears to be the y - axis. When a point (x,y) is reflected over the y - axis, the transformation is (x,y)→( - x,y).

Step2: Analyze coordinates

For example, point D(9,9) in polygon ABCDE is mapped to D'( - 9,9) in polygon A'B'C'D'E'. This follows the rule of reflection over the y - axis.

Answer:

Reflection over the y - axis.