Question

if the line segment shown is reflected over the x - axis, what will be the new coordinates of point b?
a (4, 3)
b (-4, 3)
c (4, -3)
d (-4, -3)

Explanation:

Step1: Find original coordinates of B

From the graph, point B is at (4, 3) (since it's 4 units right on x - axis and 3 units up on y - axis).

Step2: Apply reflection over x - axis rule

The rule for reflecting a point \((x,y)\) over the x - axis is \((x,-y)\). So for point B with coordinates \((4,3)\), after reflection, the new coordinates will be \((4,-3)\).

Answer:

C. (4, -3)