Question

figure c is the result of a transformation on figure b. which transformation would accomplish this? answer a rotation 90° clockwise about the origin a reflection over the x -axis a rotation 90° counterclockwise about the origin a reflection over the y -axis

Explanation:

Step1: Recall transformation rules

In a coordinate - plane, for a rotation of 90° clockwise about the origin, the transformation rule for a point (x,y) is (y, - x). For a 90° counter - clockwise rotation about the origin, the rule is (-y,x). For a reflection over the x - axis, the rule is (x, - y) and for a reflection over the y - axis, the rule is (-x,y).

Step2: Analyze Figure B and Figure C

If we take a point on Figure B, say (2, - 3), and observe its corresponding point on Figure C which is (- 3,-2).
Let (x,y)=(2, - 3). For a 90° clockwise rotation about the origin: (y, - x)=(-3,-2).

Answer:

A. A rotation 90° clockwise about the origin