Question

Please tell me the formula like given in examples: Reflecting on x-axis, `P(1,2)`------------------`P(1,-2)?`

Reflecting on y-axis

P(1,2)------------------P(?,?)
Rotating 90 degrees in clockwise direction:

P(1,2)------------------P(?,?)
Rotating 90 degrees in anticlockwise direction:

P(1,2)------------------P(?,?)
Rotating 180 degrees in clockwise direction:

P(1,2)------------------P(?,?)
Rotating 180 degrees in anti-clockwise direction:

P(1,2)------------------P(?,?)

Answer 1

Look at what happens to the `x and y`- coordinates and their signs,

Explanation:

When you have a reflection in the `x`-axis, the `x` values stay the same, but the `y` values change sign.
`P(1,2) rarr P'(1,-2)`

Reflection in the `y`-axis - the `y` values stay the same, and the `x`values change sign.
`P(1,2) rarr P'(-1,2)`

Rotation of `90°` in a clockwise direction:
`x and y` values swop and the new `y` values change sign
`P(1,2) rarr P'(2,-1)`

Rotation of `90°` in an anticlockwise direction:
`x and y` values swop and the new `x` values change sign
`P(1,2) rarr P'(-2,1)`

Rotating `180°` in a clockwise and anticlockwise direction have the same result:
The `x and y` -values change sign.

`P(1,2) rarr P'(-1,-2)`

When you have a reflection in the line `y = x`, the `x and y` values swop..
`P(1,2) rarr P'(2,1)`

When you have a reflection in the line `y = -x`, the `x and y` values swop and both change sign.
`P(1,2) rarr P'(-2,-1)`