This math topic practices the skill of rotating points on a Cartesian grid. The problems involve rotating given points around specified axes on the grid, either clockwise or counter-clockwise, by angles such as 90 degrees or 180 degrees. The scenarios vary by altering not just the angles and directions of rotation, but also the points of rotation, which includes around origin or other specified points on the grid. Each problem provides multiple choice answers, asking to pick the correct new coordinates of the rotated point. This topic is a part of an introductory unit on Cartesian Grid Transformations.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
morePractice:
Rotation of Point (Coordinates to Coordinates) around Point on Axis
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Rotate point (-2,0) by 90° counter-clockwise about the origin
(-2,0)
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Cartesian Grid - Rotation of Point (Coordinates to Coordinates) around Point on Axis Worksheet
| Math worksheet on 'Cartesian Grid - Rotation of Point (Coordinates 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/ |
| (3,1) |
| Rotate point (3,1) by 90° counter-clockwise about point (-1,0) |
| (2,4) |
| (-2,4) |
| Rotate point (4,3) by 180° clockwise about point (2,0) |
| (4,3) |
| (3,-0) |
| (0,-3) |
| Rotate point (-3,0) by 90° clockwise about point (0,1) |
| (-3,0) |
| (-1,4) |
| (-4,1) |
| Rotate point (-1,-2) by 180° clockwise about the origin |
| (-1,-2) |
| (2,1) |
| (1,2) |
| (1,1) |
| Rotate point (1,1) by 180° counter-clockwise about the origin |
| (1,1) |
| (-1,-1) |
| Rotate point (3,-2) by 90° clockwise about point (-1,0) |
| (3,-2) |
| (-3,-4) |
| (-4,3) |
| Rotate point (3,-4) by 90° clockwise about the origin |
| (3,-4) |
| (4,3) |
| (-4,-3) |