12.4 Worksheet - Amber Nicholson | Library

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A glide reflection consists of which two of the following transformations?

For the next 3 questions, use the rule (x,y) --> (x, y - 5) to find the image of the given point.

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A(6, 9)

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B(11, 7)

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C(-4, -3)

For the next 3 questions, use the rule (x,y) --> (x + 3, y) to find the image of the given point.

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D(-2, 5)

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E(6, -12)

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F(0, 0)

For the next 8 questions, reflect the given point in the x-axis.

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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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(6, 1)

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(4, -3)

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(12, -5)

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(7, 0)

For the next 8 questions, reflect the given point in the y-axis.

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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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(-3, -11)

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(0, 12)

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(-14, 13)

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(-8, 4)

For #24-27, the graph of \triangle{LMN} is given.  

Perform the transformations below in the order listed, give the coordinates of L'', M'', N'', and then graph both \triangle{L'M'N'} and \triangle {L''M''N''}.

Translation:  (x,y) --> (x - 2, y)
Reflection:  in the x-axis

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Find L''

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Find M''

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Find N''

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Graph \triangle{L'M'N'} and \triangle{L''M''N''}

For #28-31, the graph of \triangle{LMN} is given.  

Perform the transformations below in the order listed, give the coordinates of L'', M'', N'', and then graph both \triangle{L'M'N'} and \triangle{L''M''N''}.

Translation:  (x,y) --> (x + 5, y)
Reflection:  in the x-axis

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Find L''

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Find M''

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Find N''

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Graph \triangle{L'M'N'} and \triangle{L''M''N''}

For #32-35, the graph of \triangle{LMN} is given.  

Perform the transformations below in the order listed, give the coordinates of L'', M'', N'', and then graph both \triangle{L'M'N'} and \triangle{L''M''N''}.

Translation:  (x,y) --> (x, y + 4)
Reflection:  in the x-axis

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Find L''

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Find M''

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Find N''

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Graph \triangle{L'M'N'} and \triangle{L''M''N''}

For #36-39, the graph of \triangle{LMN} is given.  

Perform the transformations below in the order listed, give the coordinates of L'', M'', N'', and then graph both \triangle{L'M'N'} and \triangle{L''M''N''}.

Translation:  (x,y) --> (x, y - 7)
Reflection:  in the x-axis

1

Find L''

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Find M''

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Find N''

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Graph \triangle{L'M'N'} and \triangle{L''M''N''}

For #40-43, the graph of \triangle{LMN} is given.  

Perform the transformations below in the order listed, give the coordinates of L'', M'', N'', and then graph both \triangle{L'M'N'} and \triangle{L''M''N''}.

Translation:  (x,y) --> (x, y - 7)
Rotation:  90 degrees about the origin

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Find L''

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Find M''

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Find N''

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Graph \triangle{L'M'N'} and \triangle{L''M''N''}

For #44-47, the graph of \triangle{LMN} is given.  

Perform the transformations below in the order listed, give the coordinates of L'', M'', N'', and then graph both \triangle{L'M'N'} and \triangle{L''M''N''}.

Translation:  (x,y) --> (x, y - 7)
Rotation:  180 degrees about the origin

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Find L''

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Find M''

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Find N''

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Graph \triangle{L'M'N'} and \triangle{L''M''N''}

For the next 2 questions, describe the two transformations in the composition below.

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Translation: (x,y) --> _____________.

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Reflection: ___ axis.

For the next 2 questions, describe the two transformations in the composition below.

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Translation: (x,y) --> _____________.

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Rotation: ____ degrees about the origin.