Question

the table shows the coordinates of △qrs and its image. (a) which single transformation maps △qrs onto its image? rotate 90° clockwise around the origin. (b) describe another rotation that maps △qrs onto its image. ? ? around the origin

Explanation:

Step1: Recall rotation rules

A $90^{\circ}$ clock - wise rotation around the origin has the rule $(x,y)\to(y, - x)$. A $270^{\circ}$ counter - clockwise rotation around the origin also has the rule $(x,y)\to(y,-x)$.

Step2: Determine the other rotation

Since a $90^{\circ}$ clockwise rotation around the origin maps $\triangle QRS$ onto its image, another rotation that will give the same result is a $270^{\circ}$ counter - clockwise rotation around the origin.

Answer:

Rotate $270^{\circ}$ counter - clockwise around the origin.