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(?,?)

1 Answer
Mar 17, 2018

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 xvalues 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)