Question

a vertex of △pqr is rotated from q(-4,-9) to q(-9,4). use rotation function mapping to determine where the image of the other two vertices p(-4,0) and r(4,-4), should be placed. (1 point) p(0,4) and r(-4,4) p(0,-4) and r(-4,-4) p(0,-4) and r(-4,4) p(0,4) and r(-4,-4)

Explanation:

Step1: Identify the rotation rule

The point $Q(-4,-9)$ is rotated to $Q'(-9,4)$. The rotation rule is $(x,y)\to(-y,x)$, which represents a $90^{\circ}$ counter - clockwise rotation about the origin.

Step2: Apply the rule to point P

For point $P(-4,0)$, using the rule $(x,y)\to(-y,x)$, we substitute $x = - 4$ and $y = 0$. Then $-y=0$ and $x=-4$, so $P'=(0, - 4)$.

Step3: Apply the rule to point R

For point $R(4,-4)$, using the rule $(x,y)\to(-y,x)$, we substitute $x = 4$ and $y=-4$. Then $-y = 4$ and $x=-4$, so $R'=(-4,4)$.

Answer:

P'(0,-4) and R'(-4,4)