Parallel Lines & Transversal Explorer

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About This MicroSim

This interactive tool explores the four types of angle relationships formed when a transversal crosses two parallel lines. Click buttons to highlight different angle pairs and adjust the transversal angle with the slider.

Angle Relationships

Relationship	Pairs	Property
Corresponding	∠1&∠5, ∠2&∠6, ∠3&∠7, ∠4&∠8	Congruent (≅)
Alt. Interior	∠3&∠6, ∠4&∠5	Congruent (≅)
Alt. Exterior	∠1&∠8, ∠2&∠7	Congruent (≅)
Same-Side Interior	∠3&∠5, ∠4&∠6	Supplementary (180°)

How to Use

1. Click buttons to highlight different angle relationships
2. Adjust the slider to change the transversal angle
3. Observe that relationships hold for any transversal angle
4. Click Clear to remove highlighting

Key Insight

When parallel lines are cut by a transversal: - Three pairs are congruent (equal) - One pair is supplementary (adds to 180°)

Learning Objectives

• Identify the four angle relationship types
• Apply angle relationships to find unknown measures
• Verify that relationships hold for any transversal angle

Bloom's Taxonomy Level

Analyzing and Evaluating - Identifying and verifying angle relationships.

Iframe Embed Code

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