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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 3-3 Parallel lines and Transversals 3.3 Parallel Lines and Transversals
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Definitions Transversal: Is a line, ray or segment that intersects two or more coplanar lines, rays or segments each at a different point
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Definitions Alternate Interior Angles Are two nonadjacent interior angles that lie on opposite sides of a transversal
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Definitions Alternate Exterior Angles Are two nonadjacent exterior angles that lie on opposite sides of a transversal
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Definitions Same-Side Interior Angles Are interior angles that lie on the same side of a transversal
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Definitions Corresponding Angles Are two nonadjacent angles, one interior and one exterior, that lie on the same side of a transversal
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals 1) Identify pairs of angles. Corresponding angles Alternate interior angles Same-side interior angles Alternate exterior angles
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Theorems, Postulates, & Definitions Corresponding Angles Postulate 3.3.2: If two lines cut by a transversal are parallel, then corresponding angles are congruent. corresponding angles 2 3
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Theorems, Postulates, & Definitions Alternate Interior Angles Theorem 3.3.3: If two lines cut by a transversal are parallel, then alternate interior angles are congruent. alternate interior angles 1 3
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Theorems, Postulates, & Definitions Alternate Exterior Angles Theorem 3.3.4: If two lines cut by a transversal are parallel, then alternate exterior angles are congruent. alternate exterior angles 2 5
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals Theorems, Postulates, & Definitions Same-Side Interior Angles Theorem 3.3.5: If two lines cut by a transversal are parallel, then same-side interior angles are supplementary. same-side interior angles 1 + 4 = 180
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals 2) Find angle measures formed by parallel lines and transversals. m || n and m 1 = 135°.
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3.3 Parallel Lines and Transversals 3)Given m || n and transversal t Prove: 1 3
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Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Assignment Page 159 # 5-10, 15, 22-33, 36 and 38
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