1 / 15

Given: m<1 = m<2 #2 Prove: l ┴ n

Given. m<1 = m<2. 2. m<1 + m<2 = 180. Def. Supp < ‘ s. 3. m<2 + m<2 = 180. Substitution. Given: m<1 = m<2 #2 Prove: l ┴ n. 4. 2m<2 = 180. Combine Like Terms. 5. m<2 = 90. Div prop =. 6. l ┴ n. Def. ┴ Lines. <ABD + <DBC = 180. E. F. D. A. C. B.

guinevere-ashley
Download Presentation

Given: m<1 = m<2 #2 Prove: l ┴ n

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. Given • m<1 = m<2 2. m<1 + m<2 = 180 Def. Supp <‘s 3. m<2 + m<2 = 180 Substitution Given: m<1 = m<2 #2 Prove: l ┴ n 4. 2m<2 = 180 Combine Like Terms 5. m<2 = 90 Div prop = 6. l ┴ n Def. ┴ Lines

  2. <ABD + <DBC = 180 E F D A C B Def. of Supplementary Angles

  3. If B is the midpoint of AC then AB = BC E F D A C B Definition of Midpoint

  4. <ABD + <DBF = <ABF E F D A C B Angle Addition Postulate

  5. If B is the midpoint of AC then ½ AC = BC E F D A C B Midpoint Theorem

  6. <ABD = < ABD E F D A C B Reflexive Property

  7. <COD = <HOG C B D A O E H G F Def. of Vertical Angles

  8. If <COD = <HOG then <HOG = <COD C B D A O E H G F Symmetric Property of Equality

  9. If <BOC + <COE = 90 C B D A O E H G F

  10. If <BOC + <COE = 90 C B D A O E H G F Def. of Complementary Angles

  11. C D B A E M E Given <BMC = 30 and <DME = 30, are any lines ? ┴

  12. C D B A E M E Given <BMC = 45 and <DME = 45, are any lines ? ┴

  13. C D B A E M E Given <BMC = 50 and <DMC = 40, are any lines ? ┴

  14. B C A D M F E Given MD bisects <CME, m<BMA = 30 Find: m<AMF, m<CMB, m<DMF, m<DMB

  15. #14-17 C B D x° A O E y° H G F

More Related