Perpendicular Bisector Explorer

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About This MicroSim

This interactive tool has two modes: 1. Step Mode: Learn the construction step-by-step 2. Explore Mode: Verify the equidistant property by dragging point T

Construction Steps

Step	Action
1	Given segment AB
2	Draw arc from A (radius > ½AB)
3	Draw arc from B (same radius)
4	Mark intersections P and Q
5	Draw line PQ (perpendicular bisector)

The Equidistant Property

Key Theorem: Every point on the perpendicular bisector is equidistant from the endpoints of the segment.

This means for any point T on the perpendicular bisector: TA = TB

How to Use

1. Click through steps to see the construction
2. Click "Explore" to enter exploration mode
3. Drag point T up and down along the bisector
4. Watch the distances - TA always equals TB!

Learning Objectives

• Construct a perpendicular bisector
• Verify the equidistant property through exploration
• Evaluate why the construction creates both a bisector and a perpendicular

Bloom's Taxonomy Level

Applying and Evaluating - Performing construction and verifying properties.

Iframe Embed Code

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        height="652px"
        width="100%"
        scrolling="no"></iframe>