Chapter 3.1 Properties of Parallel Lines

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Chapter 3.1 Properties of Parallel Lines

• 2.0 Students write geometric proofs
• 4.0 Students prove basic theorems involving
  congruence
• 7.0 Students prove and use theorems involving the
  properties of parallel lines cut by a transversal

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Vocabulary

• Transversal a line that intersects two coplanar
  lines at two distinct points.

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Vocabulary

• Interior angles Angles that are in between the
  two lines cut by a transversal

4
Vocabulary

• Exterior angles Angles that are outside the two
  lines cut by a transversal

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Vocabulary

• Alternate interior angles

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Vocabulary

• Alternate exterior angles

7
Vocabulary

• Corresponding Angles angles that can over-lap

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Vocabulary

• Same Side Interior Angles

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Vocabulary

• Same Side Exterior Angles

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Corresponding Angles Postulate

• If a transversal intersects two parallel lines,
  then corresponding angles are congruent

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Alternate Interior Angles Theorem

• If a transversal intersects two parallel lines,
  then alternate interior angles are congruent

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Same-Side Interior Angles Theorem

• If a transversal intersects two parallel lines,
  then same side interior angles are supplementary

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Alternate Exterior Angles Theorem

• If a transversal intersects two parallel lines,
  then alternate exterior angles are congruent

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Same-side Exterior Angles Theorem

• If a transversal intersects two parallel lines,
  then same side exterior angles are supplementary

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Examples interwrite activity

• Random problems with different theorems

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Parallelogram Problem
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Homework

• Pg 131 1-7, 11-17, 23-25