Transformation Matrices

Rotate a figure 180 degrees around the origin:

From your original figure, just reverse the polarity of the ordered pairs.

Point A(x,y) will be Point a(-x, -y)

(-6,3) (-3,3) (-2,5) (-2,1) (-6,1) original
(6,-3) (3,-3) (2,-5) (2,-1) (6,-1) rotated 180 degrees around origin.

 

Reflect over y-axis

From the original, reverse the polarity of the x value. Point A(x,y) will become point a(-x,y)

(-6,3) (-3,3) (-2,5) (-2,1) (-6,1) original
(6,3) (3,3) (2,5) (2,1) (6,1) reflected over y axis

 

Rotate 90 degrees counter clockwise around origin

The new position of point M (h, k) will become M’ (k, -h)

 

 

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