Question

1. with a reflection over the x - axis, what sign do we change in the original ordered pair?

x coordinate
y coordinate
both coordinates
flip the order and change both coordinates
flip the order

1. with a reflection over the y - axis, what sign do we change in the original ordered pair?

x coordinate
y coordinate
both coordinates
flip the order and change both coordinates
flip the order

1. with a reflection over the y=-x, what sign do we change in the original ordered pair?

x coordinate
y coordinate
both coordinates
flip the order and change both coordinates
flip the order

Explanation:

Step1: Recall x - axis reflection rule

For a reflection over the x - axis, if the original point is \((x,y)\), the new point is \((x, - y)\). So we change the sign of the y - coordinate.

Step2: Recall y - axis reflection rule

For a reflection over the y - axis, if the original point is \((x,y)\), the new point is \((-x,y)\). So we change the sign of the x - coordinate.

Step3: Recall y=-x reflection rule

For a reflection over the line \(y =-x\), if the original point is \((x,y)\), the new point is \((-y,-x)\). So we flip the order and change both coordinates.

Answer:

1. B. y coordinate
2. A. x coordinate
3. D. flip the order and change both coordinates