Question

what transformation is always the same as rotating a figure 270 degrees about the origin?

• 1 point

reflecting over the origin
rotating 90 degrees and then another 90 degrees
reflecting over the line y = x
rotating clockwise 90 degrees

Explanation:

Step1: Define rotation rules

A 270° counterclockwise rotation (or 90° clockwise rotation) about the origin transforms a point $(x,y)$ to $(y,-x)$.

Step2: Analyze each option

• Reflecting over origin: $(x,y)\to(-x,-y)$ (not match)
• Rotating 90° twice: $(x,y)\to(-y,x)\to(-x,-y)$ (not match)
• Reflecting over $y=x$: $(x,y)\to(y,x)$ (not match)
• Rotating clockwise 90°: $(x,y)\to(y,-x)$ (matches 270° rotation)

Answer:

rotating clockwise 90 degrees