1 / 10

1.3c: Angle addition postulate

1.3c: Angle addition postulate. Common Core State Standards for Mathematical Content Congruence G-CO Prove geometric theorems [ Focus on validity of underlying reasoning while using variety of ways of writing proofs ] G-CO.9 Prove theorems about angles. :. Angle Addition Postulate.

iden
Download Presentation

1.3c: Angle addition postulate

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. 1.3c: Angle addition postulate Common Core State Standards for Mathematical Content Congruence G-CO Prove geometric theorems [Focus on validity of underlying reasoning while using variety of ways of writing proofs] • G-CO.9 Prove theorems about angles. : .

  2. Angle Addition Postulate • If R is in the interior of PQS, then m PQR + m RQS = m PQS. P R 30 Q 20 S

  3. Find the m< CAB

  4. Example of Angle Addition Postulate 100 Ans: x+40 + 3x-20 = 8x-60 4x + 20 = 8x – 60 80 = 4x 20 = x 40 60 Angle PRQ = 20+40 = 60 Angle QRS = 3(20) -20 = 40 Angle PRS = 8 (20)-60 = 100

  5. Find the m< BYZ -2a+48 4a+9 4a+9

  6. Angle bisector: a ray that bisects an angle into two congruent angles

  7. E H F G

  8. 1. Find x.

  9. Last example: Solve for x. BD bisects ABC A x+40=3x-20 40=2x-20 60=2x 30=x D x+40o 3x-20o C B Why wouldn’t the Angle Addition Postulate help us solve this initially?

  10. In class assignment Homework: Page 50: Evens 18-28, 33-35

More Related