Rotation Explorer

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About This MicroSim

This interactive tool lets you explore rotations by adjusting the angle and dragging the center of rotation. Watch how the figure rotates while preserving distance from the center.

How to Use

1. Drag the red dot to move the center of rotation
2. Adjust the angle slider from -360° to +360°
3. Click preset buttons (90°, 180°, 270°, -90°) for common rotations
4. Click "Animate" to see smooth rotation
5. Toggle "Arcs" and "Radii" to show/hide visual aids

Visual Elements

Element	Description
Red dot	Center of rotation (draggable)
Blue triangle	Pre-image
Green triangle	Image (rotated)
Purple arc	Shows rotation angle
Dashed lines	Radii from center to vertices

Key Concepts

• Positive angles rotate counterclockwise
• Negative angles rotate clockwise
• Distance from center is preserved for all points
• The center can be placed anywhere, not just the origin

Learning Objectives

• Apply rotations with different angles and centers
• Analyze how center position affects the image location

Bloom's Taxonomy Level

Applying and Analyzing - Interactive exploration of rotations.

Iframe Embed Code

<iframe src="https://dmccreary.github.io/geometry-course/sims/rotation-explorer/main.html"
        height="602px"
        width="100%"
        scrolling="no"></iframe>