Question

1. polygon jklm has vertices j(1, 2), k(3, 3), l(4, -1), and m(2, -1). graph the figure and its image after a counterclockwise rotation of 90° about the origin. then write the coordinates of polygon jklm.

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point J

For point $J(1,2)$, substituting $x = 1$ and $y = 2$ into the rule $(x,y)\to(-y,x)$, we get $J'(-2,1)$.

Step3: Apply rule to point K

For point $K(3,3)$, substituting $x = 3$ and $y = 3$ into the rule $(x,y)\to(-y,x)$, we get $K'(-3,3)$.

Step4: Apply rule to point L

For point $L(4,-1)$, substituting $x = 4$ and $y=-1$ into the rule $(x,y)\to(-y,x)$, we get $L'(1,4)$.

Step5: Apply rule to point M

For point $M(2,-1)$, substituting $x = 2$ and $y=-1$ into the rule $(x,y)\to(-y,x)$, we get $M'(1,2)$.

Answer:

$J'(-2,1)$, $K'(-3,3)$, $L'(1,4)$, $M'(1,2)$