1 / 27

Lesson 4.6 Angle Pair Relationships

Learn about adjacent angles, linear pairs, vertical angles, and angle congruence theorems in geometry. Practice identifying angles and solving for angle measures in diagrams.

abbiej
Download Presentation

Lesson 4.6 Angle Pair Relationships

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. Lesson 4.6 Angle Pair Relationships Page 223

  2. Lesson 4.6

  3. Adjacent Angles 1. Two angles that share a common vertex and side, but have no common interior points are adjacent angles. C D A B

  4. Linear Pair Two adjacent angles are a linear pair if their noncommon sides are opposite rays. C A D B

  5. Theorem 4.3 Right Angles Congruence Theorem: All right angles are congruent. C A B

  6. Theorem 4.4 Congruent Supplements Theorem: If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.

  7. Theorem 4.5 Congruent Complements Theorem: If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.

  8. Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. 2 1

  9. Theorem 4.6 Vertical Angles Congruence Theorem: Vertical angles are congruent. 1 3 2

  10. Example 1

  11. Guided Practice

  12. Example 2 Find the other angles as well.

  13. Example 3

  14. Guided Practice #8

  15. Guided Practice #9

  16. Homework 4.6 page 225 1 - 14

  17. True/False

  18. #5 Make a sketch of the given information. Label all angles which can be determined.

  19. #6 Make a sketch of the given information. Label all angles which can be determined.

  20. #7 Make a sketch of the given information. Label all angles which can be determined.

  21. #8 Make a sketch of the given information. Label all angles which can be determined.

  22. #9 Make a sketch of the given information. Label all angles which can be determined.

  23. #10 Make a sketch of the given information. Label all angles which can be determined.

  24. #11 Find the value of the variables and the measure of each angle in the diagram.

  25. #12 Find the value of the variables and the measure of each angle in the diagram.

  26. #13 Find the value of the variables and the measure of each angle in the diagram.

  27. #14 Find the value of the variables and the measure of each angle in the diagram.

More Related