Question

Given the point (7, -1), write the coordinates of a point that is related by a reflection over the x- or y-axis. Specify which axis is the line of symmetry.

Answer 1

See Explanation

Step-by-step explanation:

Given

`P(x,y) = (7,-1)`

Solving (a): Reflection over x-axis

The reflection over the x-axis is: (x , -y)

So:

Point
`P(x,y) = (7,-1)` becomes

`P' = (7,1)`

Line of symmetry: x-axis

Solving (b): Reflection over y-axis

The reflection over the y-axis is: (-x , y)

So:

Point
`P(x,y) = (7,-1)` becomes

`P' = (-7,-1)`

Line of symmetry: y-axis