Concept 6 of 8Foundation
Watch on YouTubeVideoParallel lines & transversal
A transversal is a line that crosses two other lines. When those two lines are parallel, special angle pairs appear.
- Corresponding angles (in same position at each intersection) — EQUAL.
- Alternate interior angles (between the parallels, opposite sides of transversal) — EQUAL. Look for a "Z" shape.
- Co-interior (same-side interior) angles — sum to 180°. Look for a "C" shape.
Example
If angle a = 70°, then:
Corresponding e = 70°.
Alt-interior c and f = 70°.
Co-interior c + f = 180° — wait that's alt. Co-interior pair: c and e → 70° + 110° = 180°. ✓
Corresponding e = 70°.
Alt-interior c and f = 70°.
Co-interior c + f = 180° — wait that's alt. Co-interior pair: c and e → 70° + 110° = 180°. ✓
💡 Tip:Draw a Z — its equal corners are alternate angles.
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5 questions to check what you just read.
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- Q1.When parallel lines are cut by a transversal, corresponding angles are:
- Q2.Alternate interior angles form a shape like:
- Q3.Co-interior (same-side interior) angles are:
- Q4.If one angle made by a transversal with two parallel lines is 70°, an alternate angle equals:
- Q5.A transversal intersects two lines and alternate interior angles are equal. The two lines are: