Spatial Reasoning Guides
Mental manipulation of shapes through rotation, reflection, and folding
2D Rotation
Mentally rotating a shape by a specified angle in the plane.
View Guides →Mirror Reflection
Finding the reflected image of a shape across a horizontal or vertical axis.
View Guides →Transformation Sequences
Identifying the next shape in a series of progressive transformations.
View Guides →Path Tracing
Tracking path endpoints through grid rotations and reflections.
View Guides →Symmetry Detection
Identifying axes of symmetry in patterns and shapes.
View Guides →Shape Fitting
Identifying which piece correctly fills a given outline.
View Guides →Cube Net Folding
Visualizing how a flat cube net folds into a 3D cube.
View Guides →Cube Unfolding
Identifying which 2D net corresponds to a given 3D cube.
View Guides →3D Rotation
Mentally rotating three-dimensional objects and predicting their appearance.
View Guides →Block Counting
Counting visible and hidden blocks in 3D arrangements.
View Guides →Orthographic Views
Matching 3D objects with their top, front, or side projections.
View Guides →Cross-Sections
Identifying 2D shapes that result from slicing 3D objects.
View Guides →Paper Folding
Predicting hole patterns when folded paper is punched and unfolded.
View Guides →Mental Rotation Strategies
Cognitive techniques for visualizing spatial transformations.
View Guides →Coordinate Transformation
Apply a geometric rotation around the origin to a point (x, y) using the 2D rotation matrix.
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