Unit 02 · Weeks 3, 4, 5

Transformations, Symmetry & Congruence

How do transformations preserve, alter, and organize figures in the plane?

Lesson sequence

7 visual, printable lessons

Represent motion with coordinate rules and use preserved distances and angles to reason about congruence and symmetry.

Represent motion with coordinate rules and use preserved distances and angles to reason about congruence and symmetry.

Construct and compare circumcenter, incenter, centroid, and orthocenter locations.

Track order carefully because a composition generally produces a different image when transformations are reversed.

Use distance and angle preservation to define congruence through sequences of rigid motions.

Represent motion with coordinate rules and use preserved distances and angles to reason about congruence and symmetry.

Determine whether regular or combined polygons tile the plane and analyze frieze symmetries.

Connected laboratories

Investigate radial repetition, transformations, symmetry, circles, regular polygons, and exportable vector designs.

Vocabulary, marked diagrams, guided constructions, and reduced-complexity practice.

Complete grade-level reasoning, calculation, proof, and printable evidence.

Generalization, proof revision, optimization, design, and transfer.