Question

8
if the trapezoid below is reflected across the x-axis, what are the coordinates of b?

a. (-4, 8)
b. (-4, -8)
c. (-8, -4)
d. (4, -8)

Explanation:

Step1: Find original coordinates of B

From the graph, point B has coordinates \((4, 8)\) (since it's 4 units right on x - axis and 8 units up on y - axis).

Step2: Apply reflection over x - axis rule

The rule for reflecting a point \((x,y)\) across the x - axis is \((x, -y)\). For point \(B(4,8)\), applying this rule, we change the sign of the y - coordinate. So the new coordinates \(B'\) will be \((4,-8)\).

Answer:

D. \((4, -8)\)