Chapter 12 Test

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An isometry preserves what two elements of a figure?

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Which of the following is NOT an isometry?

Use the following information for the next 4 questions:

Using the rule (x, y) --> (x + 3, y - 2), find the image of the following points.

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(6, 0)

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(-1, 2)

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Use the following information for the next 4 questions:

Using the rule (x, y) --> (x - 5, y - 1), find the image of the following points.

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(10, 4)

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(-3, 8)

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For #11-14, the graph of \triangle{XYZ} is given.  

Use the translation (x, y) --> (x + 3, y + 4) to find the coordinates of X', Y', and Z', and then graph \triangle{X'Y'Z'}.

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Find X'

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For #15-18, the graph of \triangle{XYZ} is given.  

Use the translation (x, y) --> (x + 7, y - 2) to find the coordinates of X', Y', and Z', and then graph \triangle{X'Y'Z'}.

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Find X'

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For #19-22, the translation (x, y) --> (x - 2, y + 1) was used to form \triangle{L'M'N'}.  

Find the coordinates of the original \triangle{LMN}, and then graph it.

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Find L

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For #23-24, find the component form of the vector that describes the translation from point P to point P'.  Use <x,y>

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P(-3, 6) and P'(0, 1)

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P(-3, 6) and P'(-4, 8)

For #25-26, using the point P'(6, 4), find the component of the vector that describes the translation from point P.  Use <x,y>

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P(1, 3)

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P(-1, 2)

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Use the graph of \triangle{ABC} and \triangle{A'B'C'} to write the translation in vector form. Use <x,y>

For #28-31, reflect the figure over the x-axis.  

Find the coordinates of A', B', and C', and then graph \triangle{A'B'C'}.

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Find A'

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For #32-35, reflect the figure over the y-axis.  

Find the coordinates of A', B', and C', and then graph \triangle{A'B'C'}.

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Find A'

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For #36-39, reflect the figure over the line y = x.  

Find the coordinates of A', B', and C', and then graph \triangle{A'B'C'}.

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Find A'

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For #40-43, reflect the figure over the line y = 2.  

Find the coordinates of A', B', and C', and then graph \triangle{A'B'C'}.

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Find A'

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For #44-46, rotate the following points 270 degrees about the origin.

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(0, 3)

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(4, 2)

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For #47-49, rotate the following points 90 degrees about the origin.

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(2, 1)

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(-3, 6)

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For #50-52, rotate the following points 180 degrees about the origin.

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(-1, -2)

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(3, -4)

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For #53-57, rotate the quadrilateral 90 degrees about the origin.  

Find the coordinates of A', B', C', and D', and then graph Quadrilateral A'B'C'D'.

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Find A'

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For #58-61, the graph of \triangle{ABC} is given. 

Perform the transformations below in the order listed, give the coordinates of A'', B'', C'', and then graph both \triangle{A'B'C'} and \triangle{A''B''C''}.

Translation:  (x,y) --> (x + 6, y)
Reflection:  in the x-axis

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Find A''

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For #62-65, the graph of \triangle{ABC} is given.  

Perform the transformations below in the order listed, give the coordinates of A'', B'', C'', and then graph both \triangle{A'B'C'} and \triangle{A''B''C''}.

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

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Find A''

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For #66-67, describe the two transformations in the composition below.

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

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Reflection: ____-axis

The following 3 questions are Extra Credit.  There is no penalty for wrong answers.

Rotate the following points 90 degrees clockwise about the origin.

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(3,1)

0

(4,2)

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Chapter 12 Test

An isometry preserves what two elements of a figure?

Which of the following is NOT an isometry?

(6, 0)

(-1, 2)

(10, 4)

(-3, 8)

Find X'

Find X'

Find L

P(-3, 6) and P'(0, 1)

P(-3, 6) and P'(-4, 8)

P(1, 3)

P(-1, 2)

Use the graph of \triangle{ABC} and \triangle{A'B'C'} to write the translation in vector form. Use <x,y>

Find A'

Find A'

Find A'

Find A'

(0, 3)

(4, 2)

(2, 1)

(-3, 6)

(-1, -2)

(3, -4)

Find A'

Find A''

Find A''

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

Reflection: ____-axis

(3,1)

(4,2)

An isometry preserves what two elements of a figure?

Which of the following is NOT an isometry?

(6, 0)

(-1, 2)

(-4, -4)

(1, 5)

(10, 4)

(-3, 8)

(-9, 2)

(5, -7)

Find X'

Find Y'

Find Z'

Graph \triangle{X'Y'Z'}

Find X'

Find Y'

Find Z'

Graph \triangle{X'Y'Z'}

Find L

Find M

Find N

Graph \triangle{LMN}

P(-3, 6) and P'(0, 1)

P(-3, 6) and P'(-4, 8)

P(1, 3)

P(-1, 2)

Use the graph of \triangle{ABC} and \triangle{A'B'C'} to write the translation in vector form. Use <x,y>

Find A'

Find B'

Find C'

Graph \triangle{A'B'C'}

Find A'

Find B'

Find C'

Graph \triangle{A'B'C'}

Find A'

Find B'

Find C'

Graph \triangle{A'B'C'}

Find A'

Find B'

Find C'

Graph \triangle{A'B'C'}

(0, 3)

(4, 2)

(6, 5)

(2, 1)