3.3 Parallel Lines and Transversals

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3.3 Parallel Lines and Transversals
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Definition of a Transversal

• A transversal is a line, ray, or segment that
  intersects 2 or more coplanar lines, rays, or
  segments. Each at a different point.

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Special Angle Relationships

• Alternate Interior Angles

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Alternate Exterior Angles
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Same-Side Interior Angles
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Corresponding Angles
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Corresponding Angles Postulate

• If 2 lines cut by a transversal are parallel,
  then corresponding angles are congruent.

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Alternate Interior Angle Theorem

• If 2 lines cut by a transversal are parallel,
  then alternate interior angles are congruent.

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Alternate Exterior Angle Theorem

• If 2 lines cut by a transversal are parallel,
  then alternate exterior angles are congruent.

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Same-Side Interior Angle Theorem

• If 2 lines cut by a transversal are parallel,
  then same-side interior angles are congruent.

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Same-Side Exterior Angle Theorem

• If 2 lines cut by a transversal are parallel,
  then same-side exterior angles are congruent.

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Review Linear Pair Concept

• Linear Pairs equal 180 degrees.
• If 2 angles form a linear pair, then they are
  supplementary.
• They share a ray and a vertex.