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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Math worksheet on 'Cartesian Grid - Rotation of Point (Grid to Coordinates) around Point on Axis (Level 1)'. Part of a broader unit on 'Cartesian Grid Transformations - Intro' Learn online: app.mobius.academy/math/units/cartesian_grid_transformations_intro/
1
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Rotate this point by 90° clockwise about the origin
a
(-2,-1)
b
(-2,1)
2
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Rotate this point by 180° clockwise about point (0,-1)
a
(4,-3)
b
(3,4)
3
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Rotate this point by 180° counter-clockwise about the origin
a
(-3,-2)
b
(-2,3)
4
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Rotate this point by 90° clockwise about point (0,2)
a
(1,1)
b
(1,-1)
5
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Rotate this point by 90° clockwise about point (0,-1)
a
(3,-1)
b
(1,-3)
6
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Rotate this point by 180° counter-clockwise about the origin
a
(2,2)
b
(2,-2)
7
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Rotate this point by 180° clockwise about point (0,2)
a
(1,-3)
b
(-1,3)