Question

what transformation is always the same as rotating a figure 270 degrees about the origin? * 1 point rotating 90 degrees and then another 90 degrees reflecting over the line y = x rotating clockwise 90 degrees reflecting over the origin

Explanation:

Step1: Simplify total rotation

A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation (since $360^\circ - 270^\circ = 90^\circ$).

Step2: Analyze each option

• Option1: Two 90° rotations = $180^\circ$ rotation, not 270°.
• Option2: Reflection over $y=x$ swaps $(x,y)$ to $(y,x)$, not a rotation.
• Option3: 90° clockwise rotation matches the simplified 270° counterclockwise rotation.
• Option4: Reflection over origin maps $(x,y)$ to $(-x,-y)$, a 180° rotation, not 270°.

Answer:

rotating clockwise 90 degrees