1 / 11

2.6 Proving Angle Relationships

2.6 Proving Angle Relationships. Objective: Students will write proofs involving supplementary & complementary angles, congruent and right angles. 2.6 Postulates and Theorems. Angle Addition Postulate : If R is in the interior of angle PQS, then m<PQR + m<RQS = m<PQS.

bernie
Download Presentation

2.6 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. 2.6 Proving Angle Relationships Objective: Students will write proofs involving supplementary & complementary angles, congruent and right angles.

  2. 2.6 Postulates and Theorems • Angle Addition Postulate: If R is in the interior of angle PQS, then m<PQR + m<RQS = m<PQS. • Supplement Theorem: If 2 angles form a linear pair, then they are supplementary. • Complement Theorem: If the noncommon sides of 2 adjacent angles form a right angle, then the angles are complementary. P R Q S

  3. 2.6 Postulates and Theorems • Congruence of angles is reflexive, symmetric, and transitive. • Angles supplementary to the same angle or congruent angles are congruent. • Angles complementary to the same angle or congruent angles are congruent. • Vertical Angles Theorem: If 2 angles are vertical angles, then they are congruent.

  4. 2.6 Postulates and Theorems • Perpendicular line form 4 right angles. • All right angles are congruent. • Perpendicular lines form adjacent congruent angles. • If 2 angles are congruent and supplementary, then they are right angles. • If 2 congruent angles form a linear pair, then they are right angles.

  5. Examples Find the measure of each numbered angle.

  6. Examples

  7. Example 1Answer

  8. Example 2

  9. Example 2Answer

  10. Example 3

  11. Example 3 Answer

More Related