Parallel Lines Construction

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About This MicroSim

This interactive tutorial demonstrates how to construct a line parallel to a given line through a point not on the line, using the corresponding angles method.

Construction Steps

Step	Action
1	Draw a transversal through P intersecting ℓ at Q
2	Identify angle ∠1 at the intersection Q
3	Copy angle ∠1 at point P
4	Verify ∠1 ≅ ∠2 (corresponding angles)
5	Draw line m - it's parallel to ℓ!

Why It Works

Corresponding Angles Converse: If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

By copying angle ∠1 to create ∠2, we ensure the corresponding angles are equal, guaranteeing the lines are parallel.

How to Use

1. Click "Next" to advance through steps
2. Click "Auto Play" to watch the animation
3. Click "Reset" to start over

Learning Objectives

• Construct parallel lines using corresponding angles
• Apply the angle copying construction
• Understand the corresponding angles converse theorem

Bloom's Taxonomy Level

Applying and Analyzing - Applying constructions and understanding theorems.

Iframe Embed Code

<iframe src="https://dmccreary.github.io/geometry-course/sims/parallel-lines-construction/main.html"
        height="652px"
        width="100%"
        scrolling="no"></iframe>