Midpoint Explorer with Verification

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About This MicroSim

This interactive tool lets you explore the midpoint formula by dragging points and watching the midpoint update in real-time. The verification panel confirms that the midpoint is equidistant from both endpoints.

How to Use

1. Drag Points: Click and drag the blue point (A) or red point (B) anywhere on the grid
2. Watch Midpoint: The green point (M) automatically moves to the midpoint position
3. Verify Distances: Check that d₁ (A to M) equals d₂ (M to B)

Controls

Button	Function
Random Points	Generate new random positions for A and B
Hide/Show Distances	Toggle distance indicators on the segment
Hide/Show Steps	Toggle calculation step display
Snap: ON/OFF	Toggle grid snapping for dragged points

Key Concepts

• Midpoint Formula: M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
• Verification: The midpoint is always equidistant from both endpoints
• Averaging: The midpoint coordinates are the averages of the endpoint coordinates

Learning Objectives

• Apply the midpoint formula to find midpoints interactively
• Evaluate results by verifying equal distances from endpoints
• Analyze how changing endpoints affects the midpoint position

Bloom's Taxonomy Level

Applying and Evaluating - Interactive formula application with verification.

Iframe Embed Code

<iframe src="https://dmccreary.github.io/geometry-course/sims/midpoint-explorer/main.html"
        height="702px"
        width="100%"
        scrolling="no"></iframe>