An isometry preserves what two elements of a figure?
Question 2
2.
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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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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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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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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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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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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For #25-26, using the point P'(6, 4), find the component of the vector that describes the translation frompoint P. Use <x,y>
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Question 27
27.
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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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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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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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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For #44-46, rotate the following points 270 degrees about the origin.
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For #47-49, rotate the following points 90 degrees about the origin.
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For #50-52, rotate the following points 180 degrees about the origin.
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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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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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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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For #66-67, describe the two transformations in the composition below.
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The following 3 questions are Extra Credit. There is no penalty for wrong answers.
Rotate the following points 90 degrees clockwise about the origin.