Question

graph the image of m(0, 2) after a rotation 180° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule to point M

Given $M(0,2)$, substituting $x = 0$ and $y = 2$ into the rule, we get $(-0,-2)$ which simplifies to $(0,-2)$.

Answer:

The image of point $M(0,2)$ after a 180 - degree clockwise rotation around the origin is $(0,-2)$. To graph it, place a point at the intersection of the $y$-axis and the grid - line corresponding to $y=-2$ on the coordinate plane.