Question

Reflect the given the coordinate points over the line y=x. F(−5,−3) G(−5,−2) H(−2,−2) F′( , ) G′( , ) H′( , )

Answer 1

`F'(-3,-5),G'(-2,-5),H'(-2,-2)`

Explanation:

The given points are: F(−5,−3) G(−5,−2) H(−2,−2)

The mapping for reflection in the line
`y=x` is
`(x,y)\to (y,x)`.

We just have to swap the coordinates of the preimage to obtain the image

`F(-5,-3)\to F'(-3,-5)`.

`G(-5,-2)\to G'(-2,-5)`.

`H(-2,-2)\to H'(-2,-2)`.

Therefore the image points are

`F'(-3,-5),G'(-2,-5),H'(-2,-2)`