Rotation Around Origin

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About This Diagram

This diagram shows four common rotation angles around the origin. Click each button to see the figure rotate from its original position (blue) to its image (green).

Rotation Examples

Angle	Direction	Coordinate Rule
90°	Counterclockwise	(x, y) → (-y, x)
180°	Half turn	(x, y) → (-x, -y)
270°	Counterclockwise	(x, y) → (y, -x)
45°	Counterclockwise	Rotation matrix

Visual Elements

• Red dot: Center of rotation (origin)
• Blue triangle: Pre-image
• Green triangle: Image (rotated)
• Purple arc: Shows the angle of rotation
• Dashed lines: Radial lines from center to vertices

Key Concepts

• All points rotate around the same center
• Distance from center is preserved
• Positive angles rotate counterclockwise

Interaction

Click the angle buttons (90°, 180°, 270°, 45°) to animate each rotation.

Learning Objectives

• Understand how rotations preserve distance from center
• Apply rotation rules for common angles

Bloom's Taxonomy Level

Understanding and Applying - Visualizing rotation angles.

Iframe Embed Code

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