12.1 Worksheet

Throughout this assignment, for every answer that requires a coordinate, write your answer as (x, y).

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Match the term on the left with its definition or characteristics on the right

Stavka koja se može prevući		Odgovarajuća stavka
Component Form		The original figure
Translation Notation		The figure after a transformation
Preimage		Preserves size and shape
Isometry		Has both magnitude and direction
Vector		(x, y) --> (x + a, y + b)
Image		< x , y >

Use the following information for the next 6 questions:

Using the rule (x, y) --> (x + 3, y - 5), find the image of the following points.

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A(6, 9)

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B(11, 7)

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C(-4, -3)

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Use the following information for the next 3 questions:

The resulting point is given using the rule (x, y) --> (x - 2, y - 6). Find the original points.

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X'(4, 9)

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Y'(-3, 0)

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Z'(0, 5)

For #11-14, 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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Find Z'

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

Use the translation (x, y) --> (x + 5, y - 2) 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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Find Z'

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For #19-22, 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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Find Z'

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For #23-26, the graph of \triangle{XYZ} is given.

Use the translation (x, y) --> (x + 5, y - 7) 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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Find Z'

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For #27-30, 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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Find N

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Write a rule for the translation of \triangle{ABC} to \triangle{A'B'C'} below. Use the form (x,y)-->(x+a,y+b)

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Write a rule for the translation of \triangle{ABC} to \triangle{A'B'C'} below. Use the form (x,y)-->(x+a,y+b)

For questions 33-35, write the vector in its component form. Use <x,y>

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Use the following information for the next 6 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(0,1) and P'(-4,8)

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

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For questions 42-43, use the point P'(4,5).

Find the component form 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(-2,-6)

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

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12.1 Worksheet

Match the term on the left with its definition or characteristics on the right

A(6, 9)

B(11, 7)

C(-4, -3)

X'(4, 9)

Y'(-3, 0)

Z'(0, 5)

Find X'

Find Y'

Find Z'

Find X'

Find Y'

Find Z'

Find X'

Find Y'

Find Z'

Find X'

Find Y'

Find Z'

Find L

Find M

Find N

Write a rule for the translation of \triangle{ABC} to \triangle{A'B'C'} below. Use the form (x,y)-->(x+a,y+b)

Write a rule for the translation of \triangle{ABC} to \triangle{A'B'C'} below. Use the form (x,y)-->(x+a,y+b)

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

P(0,1) and P'(-4,8)

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

P(1,3)

P(-2,-6)

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

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

Match the term on the left with its definition or characteristics on the right

A(6, 9)

B(11, 7)

C(-4, -3)

D(-2, 5)

E(6, -12)

F(0,0)

X'(4, 9)

Y'(-3, 0)

Z'(0, 5)

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 X'

Find Y'

Find Z'

Graph \triangle{X'Y'Z'}

Find L

Find M

Find N

Graph the original \triangle{LMN}

Write a rule for the translation of \triangle{ABC} to \triangle{A'B'C'} below. Use the form (x,y)-->(x+a,y+b)

Write a rule for the translation of \triangle{ABC} to \triangle{A'B'C'} below. Use the form (x,y)-->(x+a,y+b)

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

P(0,1) and P'(-4,8)

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

P(-3,10) and P'(-3,-5)

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

P(-1,-7) and P'(-9,7)

P(1,3)

P(-2,-6)

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

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

D(-2, 5)

E(6, -12)

F(0,0)

Graph \triangle{X'Y'Z'}

Graph \triangle{X'Y'Z'}