Question

graph the image of $\triangle klm$ after a rotation $180^{\circ}$ clockwise around the origin.

Explanation:

Step1: Identify original coordinates

Original points: $K(1, -9)$, $L(7, -9)$, $M(4, -7)$

Step2: Apply 180° rotation rule

For a point $(x,y)$, 180° rotation around origin gives $(-x,-y)$.

• $K'( -1, 9)$
• $L'( -7, 9)$
• $M'( -4, 7)$

Step3: Plot new points and connect

Plot $K'$, $L'$, $M'$ and draw $\Delta K'L'M'$.

Answer:

The image of $\Delta KLM$ is $\Delta K'L'M'$ with vertices at $(-1, 9)$, $(-7, 9)$, and $(-4, 7)$ (plotted and connected on the coordinate grid).