Parallel and Perpendicular Line Explorer

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About This MicroSim

This interactive tool lets you explore parallel and perpendicular line relationships. Toggle between modes to see how Line 2 automatically adjusts to be either parallel or perpendicular to Line 1.

How to Use

1. Toggle Mode: Click the mode button to switch between Parallel and Perpendicular
2. Adjust Slope: Use the slope slider to change Line 1's steepness
3. Adjust Intercept: Use the intercept slider to shift Line 1 up/down
4. Watch Line 2: It automatically adjusts based on the selected mode

Controls

Control	Function
Mode Button	Switch between Parallel and Perpendicular
Slope (m₁)	Adjust the slope of Line 1
Intercept (b₁)	Adjust the y-intercept of Line 1
Random	Generate random line parameters

Key Relationships

Mode	Relationship	Formula
Parallel	Equal slopes	m₁ = m₂
Perpendicular	Negative reciprocals	m₁ × m₂ = -1

Learning Objectives

• Apply parallel and perpendicular slope relationships
• Analyze how changing one line affects its parallel/perpendicular partner
• Create parallel and perpendicular lines given slope conditions

Bloom's Taxonomy Level

Applying, Analyzing, and Creating - Relationship exploration.

Iframe Embed Code

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