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Why Are Alternate Interior Angles Equal on Parallel Lines?

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Parallel and Intersecting Lines · Alternate and same-side interior angles · 3:13

You'll learn: Alternate interior angles are equal because each equals the same corresponding angle.

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Why Are Alternate Interior Angles Equal on Parallel Lines?

3:13

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Why Are Alternate Interior Angles Equal on Parallel Lines?

You'll learn: Alternate interior angles are equal because each equals the same corresponding angle.

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Same topic

Alternate and same-side interior angles

3

Why Do Same-Side Interior Angles Add to 180°?
3:21
Why Do Same-Side Interior Angles Add to 180°?
You'll learn: One same-side interior angle equals the angle forming a linear pair with the other, so the two add to 180°.
Find Missing Angles in a Parallel-Line Diagram
3:08
Find Missing Angles in a Parallel-Line Diagram
You'll learn: Chain corresponding, alternate and linear-pair facts to find missing angles.
Draw an Extra Parallel Line to Unlock an Angle Problem
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Draw an Extra Parallel Line to Unlock an Angle Problem
You'll learn: Drawing an extra parallel line through a corner turns a hard angle problem into known angle pairs.

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Parallel illusions

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Are These Lines Really Parallel—or Is It an Illusion?
3:22
Are These Lines Really Parallel—or Is It an Illusion?
You'll learn: Optical illusions can make parallel lines look bent; check with measurements and angle facts.

Next topic

Parallel and Intersecting Lines

11

Will These Lines Meet If We Extend Them?
3:36
Will These Lines Meet If We Extend Them?
You'll learn: Will These Lines Meet If We Extend Them?
Four Angles at an Intersection: Measure and Look for Patterns
3:38
Four Angles at an Intersection: Measure and Look for Patterns
You'll learn: Four Angles at an Intersection: Measure and Look for Patterns
Linear Pairs: Why Adjacent Angles Add to 180 Degrees
3:29
Linear Pairs: Why Adjacent Angles Add to 180 Degrees
You'll learn: Linear Pairs: Why Adjacent Angles Add to 180 Degrees
Why Vertically Opposite Angles Are Equal
3:25
Why Vertically Opposite Angles Are Equal
You'll learn: Why Vertically Opposite Angles Are Equal
Why Measurements May Differ from Geometric Predictions
3:44
Why Measurements May Differ from Geometric Predictions
You'll learn: Why Measurements May Differ from Geometric Predictions
Four Equal Angles: Recognising Perpendicular Lines
3:26
Four Equal Angles: Recognising Perpendicular Lines
You'll learn: Four Equal Angles: Recognising Perpendicular Lines
Describing How Line Segments Meet
3:43
Describing How Line Segments Meet
You'll learn: Describing How Line Segments Meet
What Makes Two Lines Parallel?
3:36
What Makes Two Lines Parallel?
You'll learn: What Makes Two Lines Parallel?
Finding Sets of Parallel Lines in a Drawing
3:28
Finding Sets of Parallel Lines in a Drawing
You'll learn: Finding Sets of Parallel Lines in a Drawing
Repeated Paper Folds: Parallel Creases and a Counting Pattern
3:38
Repeated Paper Folds: Parallel Creases and a Counting Pattern
You'll learn: Repeated Paper Folds: Parallel Creases and a Counting Pattern
Making Parallel Diagonal Folds and Folded Triangles
3:39
Making Parallel Diagonal Folds and Folded Triangles
You'll learn: Making Parallel Diagonal Folds and Folded Triangles