Transversal Coordinate Analysis

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About This MicroSim

This interactive tool bridges geometric angle relationships with algebraic coordinate methods. It shows how a transversal intersects two parallel lines and calculates the angle relationships using slope formulas.

How to Use

1. Adjust Parallel Slope: Change the slope of both parallel lines together
2. Adjust Transversal Slope: Rotate the transversal independently
3. Watch Calculations: See equations, intersections, and angles update in real-time

Controls

Control	Function
Parallel slope	Adjust the slope of Lines 1 and 2 (they stay parallel)
Transversal slope	Adjust the slope of the transversal
Random	Generate random configurations

Analysis Panel Shows

• Equations of all three lines in slope-intercept form
• Parallel Verification confirming equal slopes
• Intersection Points calculated algebraically
• Angle Measures computed using slope formulas
• Angle Relationships verified (corresponding, alternate interior, same-side interior)

Key Angle Relationships

Relationship	Property
Corresponding Angles	Equal
Alternate Interior Angles	Equal
Same-Side Interior Angles	Supplementary (sum = 180°)

Learning Objectives

• Analyze transversal configurations using coordinate methods
• Evaluate angle relationships algebraically
• Create connections between geometric properties and algebraic verification

Bloom's Taxonomy Level

Analyzing, Evaluating, and Creating - Coordinate geometry analysis.

Iframe Embed Code

<iframe src="https://dmccreary.github.io/geometry-course/sims/transversal-coordinate-analysis/main.html"
        height="752px"
        width="100%"
        scrolling="no"></iframe>