Question

graph the image of △jkl after a rotation 180° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Identify coordinates of $\triangle{JKL}$

Let's assume $J(-3,1)$, $K(-4,2)$, $L(-7,0)$.

Step3: Apply rotation rule to point $J$

For $J(-3,1)$, using the rule $(x,y)\to(-x,-y)$, we get $J'(3, - 1)$.

Step4: Apply rotation rule to point $K$

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

Step5: Apply rotation rule to point $L$

For $L(-7,0)$, using the rule $(x,y)\to(-x,-y)$, we get $L'(7,0)$.

Step6: Graph the new triangle

Plot the points $J'(3,-1)$, $K'(4,-2)$ and $L'(7,0)$ and connect them to form the image of $\triangle{JKL}$ after a 180 - degree counter - clockwise rotation around the origin.

Answer:

Graph the points $J'(3,-1)$, $K'(4,-2)$ and $L'(7,0)$ and connect them to form the rotated triangle.