1 / 10

GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Review Asg #16 Lesson: Angle Measure Homework / Questions Clean-up. Points of Sail. Bearing / Azimuth.

lucia
Download Presentation

GBK Geometry

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. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Review Asg #16 • Lesson: Angle Measure • Homework / Questions • Clean-up

  3. Points of Sail

  4. Bearing / Azimuth “The US Army defines the azimuth between Point A and Point B as the angle, measured in the clockwise direction, between the north reference ray and Ray AB. For example, if the bearing between Point A and Point B is E 45° S, the azimuth between Point A and Point B is 135°.”[2][3]

  5. Measurement of Angles • Definitions: • A degree is 1/360 of the distance rotated in a circle. • A rotation is the set of positions that are occupied by a ray as it turns 360°. • A half-rotation is the set of positions for 180°.

  6. Angle Measure:The Protractor Postulate • The Protractor Postulate: • It is possible to number the rays in a half-rotation with coordinates from 0 to 180, such that positive number differences measure angles. • Note: This is the angle version of the Ruler Postulate. • This means if rays OA and OB have coordinates a° and b°, AOB = |a – b|. A B O

  7. Betweenness of Rays • Definition: • A ray OB is between rays OA and OC (in the same half-rotation) iff its coordinate is between theirs. • As with points (A-B-C), “OB is between OA and OC” is abbreviated “OA-OB-OC”. A B O C

  8. Angle Addition:The Betweenness of Rays Theorem • If OA-OB-OC, then AOB + BOC = AOC. A B O C

  9. Homework • For Monday:Asg #17. • For Tuesday: Asg #18. • For Thursday: Unit 2 Test Analysis

  10. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!

More Related