Rotations

Turn figures around a center using coordinate rules.

Lesson 3 of 53 parts Practice Flashcards

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Quarter-Turn Rotations

Objective: Rotate around the origin by 90° in either direction.

90° counterclockwise: (x,y)→(−y,x). 90° clockwise: (x,y)→(y,−x).

Formulas

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Objective: Rotate around the origin by 90° in either direction.

90° counterclockwise: (x,y)→(−y,x). 90° clockwise: (x,y)→(y,−x).

Formulas

Objective: Apply a 180° rotation around the origin.

A 180° rotation about the origin sends (x,y)→(−x,−y) and is its own inverse.

Formulas

Objective: Understand center, direction, and preservation.

A rotation turns every point through the same directed angle about a fixed center, preserving distances, angle measures, and orientation.

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