Translations, rotations and reflections
Japanese school year: Junior high 1
What you learn
Understand how shapes change position and orientation through translations, rotations, and reflections. This topic builds on basic concepts of points, line segments, and angles, emphasizing that size and shape are preserved. These transformations are widely used in tessellations, graphic design, and advanced geometric analysis.
Key points
This rule describes basic geometric motions. Translations, rotations, and reflections preserve all side lengths and angle measures, leaving the transformed figure congruent to the original.
This describes the translation of a shape. The line segments connecting each original point to its corresponding new point are all parallel and equal in length.
This describes the rotation of a shape around a fixed center point. The distance from the center to each corresponding point is equal, and every point rotates by the exact same angle.
This describes reflection across a line. The line segment connecting two corresponding points is perpendicular to the line of symmetry and is bisected by it.
Choose a set to practice.