Question

A (5, 3), B (2, 1), and C (-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are the coordinates of the image?

Answer 1

A(5,3) ->A'(5,-3)

B(2,1) ->B'(2,-1)

C(-2,4) ->C'(-2,-4)

Explanation:

If a point is reflected over the x-axis, it ends up on the opposite side of the x-axis with the same distance from the x-axis.

So what that means is the x-coordinate will stay the same and the y-coordinate will be opposite of what it was.

So if we reflect each of your points through the x-axis you will get:

A(5,3) ->A'(5,-3)

B(2,1) ->B'(2,-1)

C(-2,4) ->C'(-2,-4)

Answer 2

(5,-3) (2,-1) (-2,-4)

Explanation:

When reflection over the x-axis the rule is (x,y) becomes (x, -y)

so your x will stay the same but your y will change