Question

Triangle ABC with A(-4, 6), B(8, 2), and C(2, -6) is reflected over the x-axis. What are the coordinates of point B'?

a) (8, -2)
b) (-8, -2)
c) (8, 6)
d) (2, 6)

Answer 1

The reflected point B' over the x-axis has coordinates (8, -2), keeping the x-coordinate unchanged and changing the sign of the y-coordinate.

Step-by-step explanation:

When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes its sign. Applying this rule to point B with coordinates (8, 2), we keep the x-coordinate (8) unchanged and invert the sign of the y-coordinate (2) to get the reflected point B'. Therefore, the coordinates of point B' after reflection over the x-axis are (8, -2).