Question

a figure has the following vertices A(0, 4) B(3,8) C(4,0). What are the vertices of the figure after a reflection across the x axis?

Answer 1

The vertices of the figure after a reflection across the x axis are (0,-4), (3,-8) and (4,0).

Explanation:

A figure has the following vertices:

A(0,4), B(3,8) and C(4,0)

When we reflect across the x-axis, we keep the values of x, while the y-values change the signal. So

A(0,4) -> A'(0,-4)

B(3,8) -> B'(3,-8)

C(4,0) -> C'(4,0)

The vertices of the figure after a reflection across the x axis are (0,-4), (3,-8) and (4,0).