Question

figure c is the result of a transformation on figure b. which transformation would accomplish this? answer attempt 1 out of 2 a reflection over the y -axis a translation 6 units to the right and 6 units down a rotation 90° clockwise about the origin a rotation 180° clockwise about the origin

Explanation:

1. Analyze reflection over y - axis: A reflection over the y - axis changes the sign of the x - coordinates of the points. But the orientation of the figure would be different from Figure C.
2. Analyze translation 6 units right and 6 units down: A translation just moves the figure without changing its orientation. This doesn't match Figure C.
3. Analyze 90° clockwise rotation about the origin: The rule for a 90° clockwise rotation about the origin is \((x,y)\to(y, - x)\). This would not result in Figure C.
4. Analyze 180° clockwise rotation about the origin: The rule for a 180° clockwise rotation about the origin is \((x,y)\to(-x,-y)\). This transformation would flip the figure across the origin and result in Figure C.

Answer:

A rotation 180° clockwise about the origin