Question

Samantha drew Triangle JKL with the coordinates (2,3), (4, 3) and (5,2). She reflected this image over the x-axis to create an image. What are coordinates of this image?

Answer 1

J'(2,-3), K'(4, -3) and L'(5,-2)

Explanation:

The given triangle has vertices at J(2,3), K(4, 3) and L(5,2).

The transformation rule for a reflection in the x-axis is:

`(x,y)\to (x,-y)`

We substitute the points to obtain the coordinates of the image triangle J'K'L'

`J(2,3)\to J'(2,-3)`

`K(4,3)\to K'(4,-3)`

`L(5,2)\to L'(5,-2)`

In other words, we negate the y-coordinates of triangle JKL to obtain the coordinates of J'K'L'

See attachment for graph.