1 / 11

Proving Angle Relationships

Learn about the Protractor Postulate, Angle Addition Postulate, Supplement Theorem, Complement Theorem, Congruence of Angles, and more in this section on proving angle relationships.

laustin
Download Presentation

Proving Angle 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. Proving Angle Relationships Section 2-8

  2. Protractor Postulate Given and a number r between 0 and 180, there is exactly one ray with endpoint A, extending on either side of , such that the measure of the angle formed is r.

  3. Angle Addition Postulate If R is in the interior of , then Converse is also true. P R Q S

  4. Supplement Theorem (2.3) • If 2 angle form a linear pair, then they are supplementary angles. 120 60

  5. Complement Theorem (2.4) • If the noncommon sides of 2 adjacent angles form a right angle, then the angles are complementary angles.

  6. Theorem 2-5 • Congruence of angles is reflexive, symmetric, and transitive.

  7. Theorems 2-6 and 2-7 • Angles supplementary to the same angle or to congruent angles are congruent. • Angles complementary to the same angle or to congruent angles are congruent.

  8. Theorems 2.8 - 2.13 • All right angles are congruent.(2.10) • Vertical angles are congruent.(2.8) • Perpendicular lines intersect to form 4 right angles. (2.9) 140 40 40 140

  9. Perpendicular lines form congruent adjacent angles. (2.11) • If 2 angles are congruent and supplementary, then each angle is a right angle. (2.12) • If 2 congruent angles form a linear pair, then they are right angles.

  10. Joke Time Why do bees have sticky hair? Because they have honeycombs!

  11. What goes Oh, Oh, Oh? Santa walking backwards.

More Related