Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: 5
CI
D
2
B
E
A
-6-5
2 3 4
5
6
-B-2
A
-2.
B
E
D-6
С
Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'?

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c