Question

the figure below has a point marked with a large dot. first, reflect the figure across the x-axis. then, give the coordinates of the marked point in the original figure and the final figure. point in original figure: ( , ) point in final figure: ( , )

Explanation:

Step1: Find original point coordinates

From the grid, the marked point in the original figure is at \( x = -5 \), \( y = -3 \), so coordinates are \((-5, -3)\).

Step2: Reflect across x - axis

The rule for reflecting a point \((x, y)\) across the x - axis is \((x, -y)\). Substituting \( x=-5 \), \( y = - 3\), we get \( -y=-(-3)=3 \). So the reflected point is \((-5, 3)\).

Answer:

Point in original figure: \((-5, -3)\)
Point in final figure: \((-5, 3)\)