12.1 Worksheet - Amber Nicholson | Library

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

Draggable item		Corresponding Item
Translation Notation		The original figure
Image		The figure after a transformation
Isometry		Preserves size and shape
Vector		Has both magnitude and direction
Component Form		(x, y) --> (x + a, y + b)
Preimage		< 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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D(-2, 5)

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E(6, -12)

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F(0,0)

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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Graph \triangle{X'Y'Z'}

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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Graph \triangle{X'Y'Z'}

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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Graph \triangle{X'Y'Z'}

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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Graph \triangle{X'Y'Z'}

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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Graph the original \triangle{LMN}

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

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

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

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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