Question

the graph of △rst is shown. the triangle is rotated 90° counterclockwise about the origin to create △rst. what are the coordinates of point r? (-8,4) (8,-4) (4,-8)

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Identify original coordinates of point R

Assume the original coordinates of point R are $(4,8)$.

Step3: Apply the rotation rule

Using the rule $(x,y)\to(-y,x)$, for the point $(4,8)$, we have $x = 4$ and $y = 8$. Then $-y=-8$ and $x = 4$. So the new coordinates are $(-8,4)$.

Answer:

A. $(-8,4)$