12.1-12.2 Review

NOTE:  This review will be slightly shorter than the physical Chapter 12 Review provided in class.

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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?

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

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 - 1, y + 5), find the image of the following points.

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(0, 6)

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(-4, 7)

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Use the following information for the next 4 questions:

Using the rule (x, y) --> (x, y + 4), find the image of the following points.

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(-1, 3)

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(-4, 2)

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For #16-19, 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 draw \triangle{X'Y'Z'}.

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Find X'

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Find Y'

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For #20-23, the graph of \triangle{XYZ} is given.  

Use the translation (x, y) --> (x - 4, y - 9) to 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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For #24-27, the graph of \triangle{XYZ} is given.  

Use the translation (x, y) --> (x + 8, y + 8) to 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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For #28-31, the translation (x, y) --> (x + 2, y - 3) 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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Find M

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Use the following information for the next 3 questions:

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(-7, 0) and P'(-2, 0)

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P(4, 4) and P'(5, 9)

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Using the point P'(4, 5), find the component form of the vector that describes the translation from point P(1, 3). Use <x,y>

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

For #37-40, reflect the figure over the x-axis.  

Find the coordinates of D', E', and D', and then draw \triangle{D'E'F'}.

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Find D'

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Find E'

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For #41-44, reflect the figure over the y-axis.  

Find the coordinates of D', E', and D', and then draw \triangle{D'E'F'}.

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Find D'

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Find E'

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For #45-48, reflect the figure over the line y = x.  

Find the coordinates of R', S', and T', and then draw \triangle{R'S'T'}.

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Find R'

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Find S'

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For #49-52, reflect the figure over the line y = 2.  

Find the coordinates of R', S', and T', and then draw \triangle{R'S'T'}.

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Find R'

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Find S'

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12.1-12.2 Review

An isometry preserves what two elements of a figure?

Which of the following is NOT an isometry?

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

(6, 0)

(-1, 2)

(0, 6)

(-4, 7)

(-1, 3)

(-4, 2)

Find X'

Find Y'

Find X'

Find Y'

Find X'

Find Y'

Find L

Find M

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

P(-7, 0) and P'(-2, 0)

P(4, 4) and P'(5, 9)

Using the point P'(4, 5), find the component form of the vector that describes the translation from point P(1, 3). Use <x,y>

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

Find D'

Find E'

Find D'

Find E'

Find R'

Find S'

Find R'

Find S'

An isometry preserves what two elements of a figure?

Which of the following is NOT an isometry?

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

(6, 0)

(-1, 2)

(-4, -4)

(1, 5)

(0, 6)

(-4, 7)

(4, 0)

(11, 2)

(-1, 3)

(-4, 2)

(5, 9)

(6, -6)

Find X'

Find Y'

Find Z'

Graph \triangle{X'Y'Z'}

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(-7, 0) and P'(-2, 0)

P(4, 4) and P'(5, 9)

Using the point P'(4, 5), find the component form of the vector that describes the translation from point P(1, 3). Use <x,y>

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

Find D'

Find E'

Find F'

Graph \triangle{D'E'F'}

Find D'

Find E'

Find F'

Graph \triangle{D'E'F'}

Find R'

Find S'

Find T'

Graph \triangle{R'S'T'}