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Why Do Eight Transversal Angles Have at Most Four Measures?

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Parallel and Intersecting Lines · Transversals and distinct angle measures · 3:27

You'll learn: A transversal makes eight angles from two vertically opposite pairs at each crossing, so at most four different measures.

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Why Do Eight Transversal Angles Have at Most Four Measures?

3:27

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Why Do Eight Transversal Angles Have at Most Four Measures?

You'll learn: A transversal makes eight angles from two vertically opposite pairs at each crossing, so at most four different measures.

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Corresponding angles and parallelism

2

Find Corresponding Angles on Parallel Lines
3:32
Find Corresponding Angles on Parallel Lines
You'll learn: When lines are parallel, angles in matching positions at the two crossings are equal.
Use Corresponding Angles to Test Whether Lines Are Parallel
3:26
Use Corresponding Angles to Test Whether Lines Are Parallel
You'll learn: If corresponding angles are equal the lines are parallel; if they differ, the lines meet somewhere.

Next topic

Drawing parallel lines

2

Draw a Parallel Line with a Ruler and Set Square
3:21
Draw a Parallel Line with a Ruler and Set Square
You'll learn: Slide a set square along a ruler to draw a line parallel to a given line.
Create Parallel Lines by Paper Folding
3:24
Create Parallel Lines by Paper Folding
You'll learn: Fold paper twice at right angles to create parallel lines.

Next topic

Alternate and same-side interior angles

4

Why Are Alternate Interior Angles Equal on Parallel Lines?
3:13
Why Are Alternate Interior Angles Equal on Parallel Lines?
You'll learn: Alternate interior angles are equal because each equals the same corresponding angle.
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
3:08
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.

Next topic

Parallel illusions

1

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

6

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