Rotation of Point (Grid to Coordinates) around Point on Axis (Level 1)

This math topic focuses on practicing the skill of rotating points on a Cartesian grid. The problems involve different rotations, including 90 degrees clockwise, 90 degrees counter-clockwise, and 180 degrees both clockwise and counter-clockwise. Each question specifies a rotation around a particular point on the axis, such as the origin, (-1,0), (0,-2), etc. The task is to determine the new coordinates after these rotations. These problems cater to beginners as they are marked 'Level 1' within a broader unit on Cartesian Grid Transformations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Cartesian Grid - Rotation of Point (Grid to Coordinates) around Point on Axis Worksheet

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Cartesian Grid - Rotation of Point (Grid to Coordinates) around Point on Axis
1
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Rotate this point by 90° counter-clockwise about the origin
a
(-2,1)
b
(1,-2)
2
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Rotate this point by 180° counter-clockwise about point (0,1)
a
(-2,3)
b
(2,-3)
3
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Rotate this point by 180° clockwise about point (0,1)
a
(0,2)
b
(-0,-2)
4
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Rotate this point by 90° counter-clockwise about point (0,-2)
a
(-3,-1)
b
(3,-1)
5
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Rotate this point by 90° counter-clockwise about point (2,0)
a
(3,-1)
b
(-1,-3)
6
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Rotate this point by 180° clockwise about point (0,1)
a
(3,-4)
b
(4,3)
7
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Rotate this point by 180° counter-clockwise about the origin
a
(-4,4)
b
(4,4)
8
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Rotate this point by 180° counter-clockwise about point (0,1)
a
(3,2)
b
(-2,3)