Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

graph the image of $\triangle klm$ after a reflection over the x-axis.

Question

graph the image of $\triangle klm$ after a reflection over the x-axis.

Explanation:

Step1: Identify original coordinates

Original points: $K(2, -9)$, $L(2, -2)$, $M(-7, -6)$

Step2: Apply x-axis reflection rule

For a point $(x,y)$, reflection over x-axis is $(x,-y)$.
New coordinates:
$K'(2, 9)$, $L'(2, 2)$, $M'(-7, 6)$

Step3: Plot and connect new points

Mark $K'(2, 9)$, $L'(2, 2)$, $M'(-7, 6)$ on the grid, then connect them to form $\Delta K'L'M'$.

Answer:

The reflected triangle $\Delta K'L'M'$ has vertices at $K'(2, 9)$, $L'(2, 2)$, and $M'(-7, 6)$ (plotted and connected on the coordinate grid).