Question

rotate △pqr with vertices j(-2, 1), k(1, 1), l(2, 4) 180° clockwise about the origin. find the image coordinates.

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree clockwise rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply rule to point J

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

Step3: Apply rule to point K

For point K(1, 1), using the rule $(x,y)\to(-x,-y)$, we get $(-1,-1)$.

Step4: Apply rule to point L

For point L(2, 4), using the rule $(x,y)\to(-x,-y)$, we get $(-2,-4)$.

Answer:

The image coordinates are J'(2, - 1), K'(-1,-1), L'(-2,-4)