Transversals in Geometry
Explore the properties of parallel lines intersected by a transversal, including identifying angle relationships like corresponding, alternate interior, alternate exterior, and consecutive interior angles.
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Transversals in Geometry
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Read each question carefully and answer to the best of your ability. Refer to the diagram provided for each question.
Use the diagram below for questions 1-3.
1. Which pair of angles are corresponding angles?
∠1 and ∠8
∠2 and ∠6
∠3 and ∠6
∠4 and ∠5
2. Which pair of angles are alternate interior angles?
∠1 and ∠7
∠2 and ∠3
∠3 and ∠5
∠4 and ∠6
3. Which pair of angles are consecutive interior angles?
∠1 and ∠5
∠2 and ∠7
∠3 and ∠6
∠4 and ∠5
Use the diagram below for questions 4-6. Assume lines l and m are parallel.
4. If ∠1 = 110°, then ∠5 = .
5. If ∠4 = 70°, then ∠6 = .
6. If ∠3 = 120°, then ∠5 = .
7. Define a transversal line in your own words.
8. Alternate exterior angles are always congruent when a transversal intersects two parallel lines.
True
False
9. Consecutive interior angles are always supplementary when a transversal intersects two parallel lines.
True
False