Final answer:
To reflect triangle KLM over the x-axis, flip each point across the axis by changing the sign of their y-coordinates, resulting in K(-4, 7), L(-8, 3), and M(-5, 9).
Step-by-step explanation:
Reflecting a Triangle Over the x-axis
To reflect triangle KLM over the x-axis, you need to 'flip' the triangle across the x-axis. This will change the sign of the y-coordinate for each point while keeping the x-coordinate the same. The reflected coordinates will be:
- Point K: (-4, 7)
- Point L: (-8, 3)
- Point M: (-5, 9)
The original triangle has vertices K(-4,-7), L(-8,-3), and M(-5,-9). After reflecting over the x-axis, the signs of the y-coordinates are reversed.