1 / 25

Parallel Lines & Transversals

Parallel Lines & Transversals. Parallel lines. Non-Parallel lines. transversal. transversal. Transversal. A line, ray, or segment that intersects 2 or more COPLANAR lines, rays, or segments. exterior. interior. exterior. INTERIOR –The space INSIDE the 2 lines.

rgreiner
Download Presentation

Parallel Lines & Transversals

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Parallel Lines & Transversals

  2. Parallel lines Non-Parallel lines transversal transversal Transversal A line, ray, or segment that intersects 2 or more COPLANAR lines, rays, or segments.

  3. exterior interior exterior INTERIOR –The space INSIDE the 2 lines EXTERIOR -The space OUTSIDE the 2 lines

  4. 1 2 3 4 5 6 7 8 Special Angle Relationships Interior Angles 3, 4, 5, 6 Alternate Interior Angles – <3 & <6 are Alternate Interior angles <4 & <5 are Alternate Interior angles

  5. 1 2 3 4 5 6 7 8 Special Angle Relationships Interior Angles 3, 4, 5, 6 Alternate Interior Angles – 3 & 6 are Alternate Interior angles 4 & 5 are Alternate Interior angles

  6. 1 2 3 4 5 6 7 8 Special Angle Relationships Interior Angles 3, 4, 5, 6 Alternate Interior Angles – 3 & 6 are Alternate Interior angles 4 & 5 are Alternate Interior angles

  7. 1 2 3 4 5 6 7 8 Special Angle Relationships Same-Side Interior Angles – 3 & 5 are Same Side Interior angles 4 & 6 are Same Side Interior angles

  8. 1 2 3 4 5 6 7 8 Special Angle Relationships Same-Side Interior Angles – 3 & 5 are Same Side Interior angles 4 & 6 are Same Side Interior angles

  9. 1 2 3 4 5 6 7 8 Special Angle Relationships • Exterior Angles 1, ∠ 2, ∠ 7, ∠ 8

  10. 1 2 3 4 5 6 7 8 Special Angle Relationships • Exterior Angles ∠ 1, ∠ 2, ∠ 7, ∠ 8

  11. 1 2 3 4 5 6 7 8 Special Angle Relationships • Exterior Angles ∠ 1, ∠ 2, ∠ 7, ∠ 8 Alternate Exterior Angles – ∠2 & ∠ 7 are Alternate Exterior angles ∠ 1 & ∠ 8 are Alternate Exterior angles

  12. 1 2 3 4 5 6 7 8 Special Angle Relationships • Exterior Angles ∠ 1, ∠ 2, ∠ 7, ∠ 8 Alternate Exterior Angles – ∠ 2 & ∠ 7 are Alternate Exterior angles ∠ 1 & ∠ 8 are Alternate Exterior angles

  13. 1 2 3 4 6 5 7 8 Special Angle Relationships Same-Side Exterior Angles – ∠ 1 & ∠ 7 are Same-Side Exterior angles ∠ 2 & ∠ 8 are Same-Side Exterior angles

  14. 1 2 3 4 6 5 7 8 Special Angle Relationships Same-Side Exterior Angles – ∠ 1 & ∠ 7 are Same-Side Exterior angles ∠ 2 & ∠ 8 are Same-Side Exterior angles

  15. 1 2 3 4 5 6 7 8 Special Angle Relationships Corresponding Angles: Angles that are in the same place ∠ 1 & ∠ 5 are Corresponding Angles ∠ 2 & ∠ 6 are Corresponding Angles ∠ 3 & ∠ 7 are Corresponding Angles ∠ 4 & ∠ 8 are Corresponding Angles

  16. 1 2 3 4 5 6 7 8 Special Angle Relationships Corresponding Angles: Angles that are in the same place ∠ 1 & ∠ 5 are Corresponding Angles ∠ 2 & ∠ 6 are Corresponding Angles ∠ 3 & ∠ 7 are Corresponding Angles ∠ 4 & ∠ 8 are Corresponding Angles

  17. 1 2 3 4 5 6 7 8 Special Angle Relationships Vertical Angles: Forms two touching “Vs” or looks like a bowtie ∠ 1 & ∠ 4 are Vertical Angles ∠ 2 & ∠ 3 are Vertical Angles ∠ 5 & ∠ 8 are Vertical Angles ∠ 6 & ∠ 7 are Vertical Angles

  18. 1 2 3 4 5 6 7 8 Special Angle Relationships Vertical Angles: Forms two touching “Vs” or looks like a bowtie ∠ 1 & ∠ 4 are Vertical Angles ∠ 2 & ∠ 3 are Vertical Angles ∠ 5 & ∠ 8 are Vertical Angles ∠ 6 & ∠ 7 are Vertical Angles

  19. 1 2 3 4 5 6 7 8 Special Angle Relationships Supplementary Angles: Add up to 180 degrees – form a straight line Examples: ∠ 1 & ∠ 2 are Supplementary Angles • ∠ 1 & ∠ 3 are Supplementary Angles • ∠ 7 & ∠ 8 are Supplementary Angles • ∠ 7 & ∠ 5 are Supplementary Angles

  20. Parallel Lines & TransversalsDAY #2

  21. 1 2 3 4 6 5 7 8 If the lines are not parallel, these angle relationships DO NOT EXIST. Special Angle RelationshipsWHEN THE LINES ARE PARALLEL ♥Alternate Interior Angles are CONGRUENT ♥Alternate Exterior Angles are CONGRUENT

  22. 1 2 3 4 6 5 7 8 If the lines are not parallel, these angle relationships DO NOT EXIST. Special Angle RelationshipsWHEN THE LINES ARE PARALLEL ♥Same Side Interior Angles are SUPPLEMENTARY ♥Same Side Exterior Angles are SUPPLEMENTARY ♥Supplementary Angles are SUPPLEMENTARY

  23. 1 2 3 4 6 5 7 8 If the lines are not parallel, these angle relationships DO NOT EXIST. Special Angle RelationshipsWHEN THE LINES ARE PARALLEL ♥Corresponding Angles are CONGRUENT ♥Vertical Angles are CONGRUENT

  24. 1 2 3 4 6 5 7 8 Let’s Practice m<1=120° Find all the remaining angle measures. 120° 60° 120° 60° 120° 60° 120° 60°

  25. Another practice problem Find all the missing angle measures. 137°

More Related