Geometric transformations

Basic geometry and measurement - What Are Geometric Transformations?

Learn the four fundamental geometric transformations: translation (slide), rotation (spin), reflection (flip), and dilation (resize) that power filters and animations.

Basic geometry and measurement - Translations: Sliding Shapes on the Coordinate Plane

Learn what a translation is in math: a transformation where every point of a shape slides the same distance and direction without flipping, rotating, or stretching.

Basic geometry and measurement - Rotations: Turning Shapes Around a Point

Learn how rotations work in geometry, including the 90-degree counterclockwise rotation rule and how positive angles rotate counterclockwise while negative angles rotate clockwise.

Basic geometry and measurement - Reflections: Flipping Shapes Over a Line

Learn how reflections work in math by flipping shapes over a line. See how coordinates change when reflecting across the x-axis with a triangle example.

Basic geometry and measurement - What Do Rigid Transformations Preserve?

Learn about rigid transformations: translations, rotations, and reflections preserve shape, size, angles, and area while changing position and sometimes orientation.

Basic geometry and measurement - Mapping One Shape Onto Another

Learn how to map congruent shapes using rigid transformations: translations, rotations, and reflections. Includes step-by-step strategies for aligning shapes perfectly.

Basic geometry and measurement - Dilations and Scale Factor

Learn how dilations work in geometry, including scale factors, center points, and how to enlarge or shrink shapes while preserving angles and proportions.

Basic geometry and measurement - Dilating a Triangle Step by Step

Learn how to dilate a triangle from the origin by multiplying coordinates by a scale factor. See how dilation creates similar shapes that maintain proportions.

Basic geometry and measurement - Congruence and Rigid Transformations

Learn how congruent figures are proven using rigid transformations: translations, rotations, and reflections. No dilations allowed—stretching breaks congruence.