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 transcript:

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

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

2. Group Work 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

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

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

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

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

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

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

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

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:

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

5.CW (3.2 Defining Angles)

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.

6. About Good Definitions: EXAMPLE A

6. About Good Definitions

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

6. About Good Definitions: Example B

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

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