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Laabri

12.3 Worksheet

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Last updated about 4 years ago
40 Nsɛmmisa

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

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

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1.

(4,5)

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2.

(-6,9)

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3.

(3,0)

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4.

(0,-3)

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5.

(-5,-10)

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6.

(12,-18)

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7.

(-100,100)

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8.

(9,1)

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9.

(3,1)

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10.

(10,-4)

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11.

(0,8)

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12.

(4,0)

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13.

(-1,-7)

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14.

(6,-10)

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15.

(30,15)

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16.

(-7,-7)

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17.

(6,1)

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18.

(4,-3)

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19.

(12,-5)

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20.

(7,0)

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21.

(-3,-11)

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22.

(0,12)

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23.

(-14,13)

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24.

(-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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25.

Find X'

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26.

Find Y'

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27.

Find Z'

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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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29.

Find X'

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30.

Find Y'

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31.

Find Z'

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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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33.

Find X'

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34.

Find Y'

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35.

Find Z'

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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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37.

Find X'

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38.

Find Y'

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39.

Find Z'

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28.

Graph \triangle{X'Y'Z'}

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32.

Graph \triangle{X'Y'Z'}

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36.

Graph \triangle{X'Y'Z'}

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40.

Graph \triangle{X'Y'Z'}