1 / 27

Geometry

Geometry. Take out: Binder, Pencil, Do Now Sheet, Homework. Do Now: Name each figure 1) 2) 3) Draw a line AD with a midpoint C, then write all congruent segment using correct notation. B. A. Agenda Do Now/Check Homework HW Questions Naming, Measuring, and Drawing Angles

calida
Download Presentation

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. Geometry • Take out: Binder, Pencil, Do Now Sheet, Homework Do Now: Name each figure 1) 2) 3) Draw a line AD with a midpoint C, then write all congruent segment using correct notation. B A • Agenda • Do Now/Check Homework • HW Questions • Naming, Measuring, and Drawing Angles • Angles and Protractor Practice • Ticket-to-go • HW: pg. 42-44 #’s 1-4, 7-14, 34 F E 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  2. Recap Geometrical Terms An exact location on a plane is called a point. Point A straight path on a plane, extending in both directions with no endpoints, is called a line. Line A part of a line that has two endpoints and thus has a definite length is called a line segment. Line segment A line segment extended indefinitely in one direction is called a ray. Ray 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  3. Angles In Daily Life If we look around us, we will see angles everywhere. 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  4. A B C Ray BAand rayBCare called thearmsof ABC. What Is An Angle ? When two non-collinear rays join with a common endpoint (origin) an angle is formed. Ray BA B Common endpoint Ray BC Common endpoint is called the vertex of the angle.Bis thevertexof ÐABC. Ray BA and BC are two non-collinear rays 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  5. Fact: We can also think of an angle formed by rotating one ray away from its initial position. 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  6. A B C Naming An Angle To name an angle, we name any point on one ray, then the vertex, and then any point on the other ray. For example: ÐABC or ÐCBA We may also name this angle only by the single letter of the vertex, for example ÐB. 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  7. Measurement Of An Angle Protractor is used to measure and draw angles. Angles are accuratelymeasured in degrees. 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  8. B A A A B B C B C A C C Types Of Angles There are four main types of angles. Right angle Acute angle Obtuse angle Straight angle 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  9. Right angle: An angle whose measure is 90 degrees. Straight Angle Right Angle Acute Angle Obtuse Angle 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  10. Obtuse angle: An angle whose measure is greater than 90 degrees. Straight Angle Right Angle Acute Angle Obtuse Angle 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  11. Acute angle: An angle whose measure is less than 90 degrees. Straight Angle Right Angle Acute Angle Obtuse Angle 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  12. Straight angle: An angle whose measure is 180 degrees. Straight Angle Right Angle Acute Angle Obtuse Angle 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  13. Examples Of Straight Angle 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  14. D 300 E F D A 300 300 E F B C Congruent Angles Two angles that have the same measure are called congruent angles. Congruent angles have the same size and shape. 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  15. A B C Angle Bisectors A ray that begins at the angles vertex and divides the angle into two congruent angles. D Ray BD bisects <ABC so that 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  16. Pairs Of Angles : Types • Adjacent angles • Vertically opposite angles • Complimentary angles • Supplementary angles • Linear pairs of angles 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  17. A D A C D Common ray B E F B C Common vertex Adjacent Angles Two angles that have acommon vertexand acommon rayare called adjacent angles. Adjacent AnglesABDand DBC ABCand DEF are not adjacent angles Adjacent angles do not overlap each other. 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  18. A C D B Vertically Opposite Angles Vertically opposite angles are pairs of angles formed bytwo lines intersecting at a point. ÐAPC = ÐBPD ÐAPB = ÐCPD P Four anglesare formed at the point of intersection. Vertically opposite angles arecongruent. Point of intersection ‘P’ is thecommon vertex of the four angles. 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  19. A D 600 300 B E C F Complimentary Angles If the sum of two angles is 900, then they are called complimentary angles. ÐABCandÐDEFare complimentary because ÐABC + ÐDEF 600 + 300 = 900 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  20. D p 700 300 Q E R F Contd…. If the sum of two angles is more than 900 or less than 900, then they not complimentary angles. ÐDEFandÐPQRare not complimentary because ÐDEF+ÐPQR 700 + 300 = 1000 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  21. A P 1000 800 B Q R C Supplementary Angles If the sum of two angles is 1800 then they are called supplementary angles. ÐPQRandÐABCare supplementary, because ÐPQR + ÐABC 1000 + 800 = 1800 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  22. D A 1100 800 E B F C Contd…. If the sum of two angles ismore than 1800orless than 1800, then they arenot supplementary angles. ÐDEFandÐPQRarenot supplementarybecause ÐABC + ÐDEF 1100 + 800 = 1900 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  23. A 1200 600 D C Linear Pair Of Angles Two adjacent supplementary angles are called linear pair of angles. P ÐAPC + ÐAPD 600 + 1200 = 1800 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  24. A D A 300 D 300 900 600 900 600 E C B E C B Name the adjacent angles and linear pair of angles in the given figure: Adjacent angles: ÐABD and ÐDBC ÐABE and ÐDBA Test Yourself 2 Linear pair of angles: ÐEBA, ÐABC ÐEBD, ÐDBC 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  25. C A P D B Name the vertically opposite angles and adjacent angles in the given figure: Vertically opposite angles: ÐAPC and ÐBPD Adjacent angles:ÐAPC and ÐCPD ÐAPB and ÐCPD ÐAPB and ÐBPD 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  26. How to measure an angle using a protractor • http://www.youtube.com/watch?v=FeclDm7pVcI&feature=related 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

  27. How to draw an angle using a protractor • http://www.youtube.com/watch?v=X3IO6Uhtlp8&feature=related 9/7/2010 Objective: Name, draw, label, and measure angles, and determine angle bisectors

More Related