Rotation of Point (Grid to Coordinates) around Origin (Level 1)

This math topic focuses on the rotation of points around the origin on a Cartesian grid, which is a basic concept in coordinate geometry and transformations. The problems specifically test the ability to rotate points either 180 degrees clockwise, 180 degrees counter-clockwise, or 90 degrees counter-clockwise. Understanding how to manipulate points on the Cartesian grid through rotations is fundamental in spatial reasoning and geometry. Each problem presents a graphical depiction of a point on the grid and asks students to identify the new coordinates of the point after the specified rotation.

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 Origin Worksheet

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Cartesian Grid - Rotation of Point (Grid to Coordinates) around Origin
1
An svg image showing a math problem
Rotate this point by 90° counter-clockwise about the origin
a
(0,-2)
b
(2,-0)
2
An svg image showing a math problem
Rotate this point by 180° counter-clockwise about the origin
a
(-1,3)
b
(-3,1)
3
An svg image showing a math problem
Rotate this point by 90° counter-clockwise about the origin
a
(-0,3)
b
(3,0)
4
An svg image showing a math problem
Rotate this point by 90° clockwise about the origin
a
(1,-2)
b
(2,1)
5
An svg image showing a math problem
Rotate this point by 90° counter-clockwise about the origin
a
(-1,-2)
b
(2,1)
6
An svg image showing a math problem
Rotate this point by 90° counter-clockwise about the origin
a
(-1,0)
b
(1,0)
7
An svg image showing a math problem
Rotate this point by 90° counter-clockwise about the origin
a
(4,2)
b
(-4,-2)
8
An svg image showing a math problem
Rotate this point by 180° clockwise about the origin
a
(-4,-4)
b
(4,-4)