1 / 17

Geometry

Geometry. Agenda 1. ENTRANCE 2. go over practice 3. 3-2 Proving Lines Parallel 4. Practice Assignment 5. EXIT. Practice. Transitive Property. If a =b and b=c, then a=c. If a b and bc, then ac. If and , then . If 12 and 23, then 13.

vern
Download Presentation

Geometry

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. Geometry • Agenda 1. ENTRANCE 2. go over practice 3. 3-2 Proving Lines Parallel 4. Practice Assignment 5. EXIT

  2. Practice

  3. Transitive Property • If a=b and b=c, then a=c. • If ab and bc, then ac. • If and , then . • If 12 and 23, then 13.

  4. Example #7 • Given: a||b • Prove: 13 1. a||b 2. 14 3. 43 4. 13

  5. Example #8 • Given: a||b • Prove: 1 supple 2 1. a||b 2. m2+m3=180 3. 31 4. m2+m1=180 5. 1 supple 2

  6. Chapter 3 3-2 Proving ________ Parallel

  7. Flowchart Proof • Proof with statements in boxes and reasons below them. ex: Given: 2x – 7 = 3 Prove: x = 5

  8. Postulate 3-2, Theorems 3-3 and 3-4 • If two lines and a transversal form: • Corresponding angles that are congruent • Alternate interior angles that are congruent • Same-side interior angles that are supplementary then the two lines are __________.

  9. Theorem 3-5 • If two lines are parallel to the same line, then they are parallel to each other. x||y and y||z therefore, x||z

  10. Theorem 3-6 • In a plane, if two lines are ___________ to the same line, then they are parallel to each other. gh and hj therefore, g||j

  11. Example #1 • Which lines (if any) must be parallel if: a. 26 b. 412 c. 10 supple 11 d. 38

  12. Example #2 • Find x for which m||n.

  13. Example #3 • Find x for which a||b.

  14. Example #4 • Find x for which p||q.

  15. Example #5 • Given: 32 Prove: m||n

  16. Example #6 • Given: at bt Prove: a||b (prove Thm 3-6)

  17. Practice • WB 3-2 # 2-13 • EXIT

More Related