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3.3/3.4 – Parallel Lines & Transversals

3.3/3.4 – Parallel Lines & Transversals. NO. YES. YES. NO. Transversals. Transversal: a line, ray or segment that intersects two or more coplanar lines, rays or segments each at a different point. Special Angle Relationships.

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3.3/3.4 – Parallel Lines & Transversals

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  1. 3.3/3.4 – Parallel Lines & Transversals

  2. NO YES YES NO Transversals • Transversal: a line, ray or segment that intersects two or more coplanar lines, rays or segments each at a different point

  3. Special Angle Relationships When parallel lines are cut by a transversal, special angle relationships are formed. The following are those relationships.

  4. Special Angle Relationships EXTERIOR INTERIOR EXTERIOR

  5. 1 2 3 4 6 5 7 8 Special Angle Relationships 3 & 6 and 4 & 5 are ALTERNATE INTERIOR ANGLES Alternate Interior Angles are CONGRUENT

  6. 1 2 3 4 6 5 7 8 Special Angle Relationships 1 & 8 and 2 & 7 are ALTERNATE EXTERIOR ANGLES Alternate Exterior Angles are CONGRUENT

  7. 1 2 3 4 6 5 7 8 Special Angle Relationships 3 & 5 and 4 & 6 are SAME SIDE INTERIOR ANGLES Same Side Interior Angles are SUPPLEMENTARY

  8. Special Angle Relationships 1 2 3 4 3 & 7, 1 & 5, 2 & 6 and 4 & 8 are CORRESPONDING ANGLES 6 5 7 8 Corresponding Angles are CONGRUENT

  9. 1 2 3 4 6 5 7 8 Application 105

  10. 1 2 3 4 6 5 7 8 Application 47

  11. Challenge! 1 113 2 11 10 3 4 5 12 13 70 15 14 6 7 8 16 9 17

  12. 1 2 3 4 6 5 7 8 Are n and m parallel? Why or why not? Application n 120 60 m t

  13. 1 2 3 4 6 5 7 8 Are n and m parallel? Why or why not? Application 60 n 60 m t

  14. 1 2 3 4 6 5 7 8 Are n and m parallel? Why or why not? Application n 120 m 121 s

  15. 1 2 3 4 6 5 7 8 Are n and m parallel? Why or why not? Application n 120 120 m r

  16. 1 2 3 4 6 5 7 8 Are n and m parallel? Why or why not? Application 60 n m 60 v

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