40.4k views
4 votes
How to write the rule for the rotation on #11?

How to write the rule for the rotation on #11?-example-1
User Martijn
by
4.7k points

1 Answer

5 votes

#11

If the point (x, y) is rotated 180 degrees around the origin clockwise or anti-clockwise, then its image will be (-x, -y)

We just change the sign of the coordinates

From the attached picture we can see

The parallelogram MNOP where

M = (1, -2)

N = (3, -2)

O = (4, -4)

P = (2, -4)

The parallelogram M'N'O'P' where

M' = (-1, 2)

N' = (-3, 2)

O' = (-4, 4)

P' = (-2, 4)

Since all the signs of the coordinates are changed, then

M'N'O'P' is the image of MNOP by rotation 180 degrees around the orign

The rule of transformation is


R\rightarrow(O,180^(\circ))

User Coalmee
by
5.4k points