Chapter 12 Test - Amber Nicholson | Laabri | Nneɛma a ɛma wotumi yɛ ade

1

An isometry preserves what two elements of a figure?

1

Which of the following is NOT an isometry?

Reflection

Rotation

Dilation

Translation

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.

1

(6, 0)

1

(-1, 2)

1

(-4, -4)

1

(1, 5)

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.

1

(10, 4)

1

(-3, 8)

1

(-9, 2)

1

(5, -7)

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'}.

null

1

Find X'

1

Find Y'

1

Find Z'

1

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'}.

null

1

Find X'

1

Find Y'

1

Find Z'

1

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

1

Find M

1

Find N

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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>

1

P(1, 3)

1

P(-1, 2)

1

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'}.

null

1

Find A'

1

Find B'

1

Find C'

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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'}.

null

1

Find A'

1

Find B'

1

Find C'

1

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'}.

null

1

Find A'

1

Find B'

1

Find C'

1

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'}.

null

1

Find A'

1

Find B'

1

Find C'

1

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

1

(0, 3)

1

(4, 2)

1

(6, 5)

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

1

(2, 1)

1

(-3, 6)

1

(4, -1)

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

1

(-1, -2)

1

(3, -4)

1

(5, 3)

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'.

null

1

Find A'

1

Find B'

1

Find C'

1

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

null

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Find A''

1

Find B''

1

Find C''

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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

null

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Find A''

1

Find B''

1

Find C''

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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.

0

(3,1)

0

(4,2)

0

(-2,5)

Chapter 12 Test

Chapter 12 Test

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'

Find X'

Find Y'

Find Z'

Find L

Find M

Find N

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'

Find A'

Find B'

Find C'

Find A'

Find B'

Find C'

Find A'

Find B'

Find C'

(0, 3)

(4, 2)

(6, 5)

(2, 1)

(-3, 6)

(4, -1)

(-1, -2)

(3, -4)

(5, 3)

Find A'

Find B'

Find C'

Find A''

Find B''

Find C''

Find A''

Find B''

Find C''

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

Reflection: ____-axis

(3,1)

(4,2)

(-2,5)

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