12.3 Worksheet - Amber Nicholson | Library

Rotation of 90 degrees:  (a, b) --> (-b, a)
Rotation of 180 degrees:  (a, b) --> (-a, -b)
Rotation of 270 degrees:  (a, b) --> (b, -a)

For questions 1-8, rotate the given point 90 degrees about the origin.

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(4,5)

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(-6,9)

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(3,0)

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(0,-3)

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(-5,-10)

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(12,-18)

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(-100,100)

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(9,1)

For questions 9-16, rotate the given point 180 degrees about the origin.

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(3,1)

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(10,-4)

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(0,8)

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(4,0)

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(-1,-7)

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(6,-10)

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(30,15)

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(-7,-7)

For questions 17-24, rotate the given point 270 degrees about the origin.

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(6,1)

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(4,-3)

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(12,-5)

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(7,0)

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(-3,-11)

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(0,12)

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(-14,13)

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(-8,4)

For #25-28, rotate the figure 90 degrees about the origin.  

Find the coordinates of X', Y', and Z', and then draw \triangle{X'Y'Z'}.

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Find X'

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Find Y'

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Find Z'

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Graph \triangle{X'Y'Z'}

For #29-32, rotate the figure 90 degrees about the origin.  

Find the coordinates of X', Y', and Z', and then draw \triangle{X'Y'Z'}.

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Find X'

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Find Y'

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Find Z'

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Graph \triangle{X'Y'Z'}

For #33-36, rotate the figure 180 degrees about the origin.  

Find the coordinates of X', Y', and Z', and then draw \triangle{X'Y'Z'}.

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Find X'

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Find Y'

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Find Z'

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Graph \triangle{X'Y'Z'}

For #37-40, rotate the figure 270 degrees about the origin.  

Find the coordinates of X', Y', and Z', and then draw \triangle{X'Y'Z'}.

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Find X'

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Find Y'

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Find Z'

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Graph \triangle{X'Y'Z'}