1 / 16

Chapter 3 Section 3-1: Properties of Parallel Lines

Chapter 3 Section 3-1: Properties of Parallel Lines. Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems and write problems and write proofs. Turn in Cumulative Review Check Skills: p 115 (1-6). Essential Questions.

fleur
Download Presentation

Chapter 3 Section 3-1: Properties of Parallel Lines

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. Chapter 3Section 3-1: Properties of Parallel Lines Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems and write problems and write proofs.

  2. Turn in Cumulative Review Check Skills: p 115 (1-6)

  3. Essential Questions • How are angles formed by 2 lines and a transversal identified? • How are the properties of parallel lines used to determine angle measure?

  4. Transversal a line that intersects two or more coplanar lines in different points

  5. Alternate Interior Angles (alt. int.  ‘s) two nonadjacent interior angles on opposite side of the transversal

  6. Same-Side Interior Angles Also called consecutive angles (s-s int.  ‘s) two interior angles on the same side of the transversal

  7. Corresponding Angles (corres.  ‘s) two angles in corresponding positions relative to the two lines

  8. Examples, p 118 5) 7) Together: p 118-119 (6,8)

  9. Examples • 2 and 3 • SPQ and PSR Together: 2, 4

  10. Theorem about Parallel Planes If two parallel planes are cut by a third plane, then the lines of intersection are parallel.

  11. Example Use # 9 for 4th property of: if 2 parallel lines are cut by a transversal then …. P. 119 11. 13. 15.

  12. P 120 Two lines and a transversal form how many pairs of the following? 19 Alternate interior angles 20 corresponding angles 21 same-side interior angles 22 vertical angles

  13. Postulate and Theorems about angles formed by 2 Parallel lines and a transversal If two parallel lines are cut by a transversal, then the corresponding angles are congruent. (post) If two parallel lines are cut by a transversal, then alternate interior angles are congruent. If two parallel lines are cut by a transversal, then same-side interior angles are supplementary. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other also.

  14. Practice • With a partner: p 119 (12- 16 even) p 120 (23-25 all) Go over. Individually: Practice 3-1 Worksheet

  15. Summarize List the 4 things you know if 2 parallel lines are cut by a transversal. 1. 2. 3. 4. Standardized Test Prep: p. 121 (37-41 all)

  16. Homework • Mixed Review: p 121 (42- 50 all) • Worksheet: Definitions worksheet Review

More Related