Question

graph the image of △klm 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: Identify original coordinates

Suppose the coordinates of $K$ are $(x_1,y_1)$, $L$ are $(x_2,y_2)$ and $M$ are $(x_3,y_3)$. From the graph, assume $K(1, - 9)$, $L(6,-9)$, $M(3,-7)$.

Step3: Apply rotation rule

For point $K(1,-9)$, after rotation, $K'(-1,9)$.
For point $L(6,-9)$, after rotation, $L'(-6,9)$.
For point $M(3,-7)$, after rotation, $M'(-3,7)$.

Step4: Graph the new points

Plot the points $K'(-1,9)$, $L'(-6,9)$ and $M'(-3,7)$ on the same coordinate - plane and connect them to form $\triangle K'L'M'$.

Answer:

Graph the points $K'(-1,9)$, $L'(-6,9)$ and $M'(-3,7)$ and connect them to get the image of $\triangle KLM$ after a 180 - degree clockwise rotation around the origin.