1 / 17

Use Parallel Lines and Transversals

Use Parallel Lines and Transversals. 3.2. Essential Question. How are corresponding angles and alternate interior angles related for two parallel lines and a transversal? M11.B.2.1,M11.B.2.2, M11.C.1.2, M11.C.3.11. More Postulates and Theorems.

Download Presentation

Use Parallel Lines and 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. Use Parallel Lines and Transversals 3.2

  2. Essential Question • How are corresponding angles and alternate interior angles related for two parallel lines and a transversal? • M11.B.2.1,M11.B.2.2, M11.C.1.2, M11.C.3.11

  3. More Postulates and Theorems

  4. Which angle pairs have the same angle measure by the Corresponding Angle Postulate? <a & <e, <b & <f, <c & <g, <d & <h b a c d e f g h

  5. What angle pairs are congruent according to the Alternate Interior Angles Theorem? <c & <f, <d & <e b a c d e f g h

  6. Which angle pairs are congruent according to the Alternate Exterior Angle Theorem? <a & <h, <b & <g b a c d e f g h

  7. Which angle pairs are supplementary according to the Consecutive Interior Angles Theorem? <c & <e, <d & <f b a c d e f g h

  8. How can you find the value for x? 3x - 10 3x – 10 = 140 3x = 150 x = 50 140˚

  9. 10x 40˚

  10. 9x + 10 64˚

  11. How would you find the value for x? By the Consecutive Interior Angles Theorem we know that the sum of these angles is 180. 113˚ 113 + 2x – 25 = 180 2x + 88 = 180 2x - 25 67˚ 2x = 92 x = 46

  12. How would you find the value for x? 3x + 2˚ Consecutive Interior Angles 3x + 2 + x + 2 = 180 4x + 4 = 180 4x = 176 x = 44 x + 2˚

  13. The 6y˚ angle and the 3y˚ angle are Consecutive Interior angles so we know they are supplementary, so their sum is 180˚ The 90˚ angle and the 2x˚ angle are Consecutive Interior angles so we know they are supplementary, so their sum is 180˚ 3y 6y + 3y = 180 90 + 2x = 180 6y 9y = 180 2x = 90 y = 20 x = 45 2x

More Related