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1.Opener a) −4(x + 10) − 6 = −3(x − 2) b) Name the angle 2 in every way you can: c)Is it acute, obtuse, or right? d)What is the midpoint between (5,9)

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Presentation on theme: "1.Opener a) −4(x + 10) − 6 = −3(x − 2) b) Name the angle 2 in every way you can: c)Is it acute, obtuse, or right? d)What is the midpoint between (5,9)"— Presentation transcript:

1 1.Opener a) −4(x + 10) − 6 = −3(x − 2) b) Name the angle 2 in every way you can: c)Is it acute, obtuse, or right? d)What is the midpoint between (5,9) and (-11, 17) e)How much did Nike pay for its logo? A L F 2 Definitions and Defining Angles

2 Warm-Up Take out the following supplies: Protractor Ruler Graph Paper Index Cards HOMEWORK: Pg. 100 / 1-13; 20-25; Pg. 101/ 29-33 odd, Study Flashcards for Quiz

3 2. Group Work - 3.1 Investigation - Defining Angles Provide a definition for: Right Angle: Acute Angle: Obtuse Angle: Pair of Vertical Angles Linear Pair of Angles Pair of Complementary Angles Pair of Supplementary Angles

4 3.Group Definitions as Notes Not Right Angles 90° C B A Right Angles Right Angle:An angle that measure 90 degrees.

5 88° C B A Acute Angles Not Acute Angles Acute Angle: An angle that measures less than 90 degrees. 3.Group Definitions as Notes

6 91° C B A Obtuse Angles Not Obtuse Angles Obtuse Angle: An angle that measures more than 90 degrees. 3.Group Definitions as Notes

7 Vertical Angles C A D F Not Vertical Angles B E H G Pair of Vertical Angles:Two congruent and opposite angles formed by two intersecting lines. 3.Group Definitions as Notes

8 Not Complementary Angles H G BE Complementary Angles B E 30° 60° Pair of Complementary Angles: Two angles that add up to 90°. 3.Group Definitions as Notes

9 Not Supplementary Angles B E H G Supplementary Angles 120° 60° BE l m Pair of Complementary Angles: Two angles that add up to 180°. 3.Group Definitions as Notes

10 Linear Angles BE F R Not Linear Angles 40° 140° 80° 100° Pair of Linear Angles:Two angles on a line that measure 180°. 3.Group Definitions as Notes

11 Angle Bisector:A ray that extends from the vertex of an angle and divides it into two congruent angles. A B C 28° 14° D What We Can Write AD is the angle bisector of BAC. BAD DAC 4.Notes: Angle Bisector:

12 4.Notes Not Angle Bisectors Angle Bisectors 45° 20° B A C D E F G H B E BE

13 5.CW (3.2 Defining Angles)

14 6. About Good Definitions What should go in the blanks to define a square? Once you’ve written a definition you should try to come up with a counterexample. If you can’t find a counterexample, then you’ve got a good definition.

15 6. About Good Definitions: EXAMPLE A

16 6. About Good Definitions

17 Parallel and Perpendicular Lines The ___ symbol means “is parallel to”. The symbol ___ means “is perpendicular to”. 6. About Good Definitions

18 6. About Good Definitions: Example B

19 Use a labeled figure to define a pair of linear angles. 6. About Good Definitions: Example C

20 8.Homework HW: Pg. 100 – Lesson 2.5 (No proofs)/ 1-13; 20-25; Pg. 101/ 29-33 odd

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