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As you come in, take a white half sheet and a protractor (clear small piece of paper). Thank you!. Start thinking about something you did this weekend that you can share with the class. . Homework from Friday: Page 24: 8-28 Evens, 36, 40, 43-44, 48-53. * Go over answers
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As you come in, take a white half sheet and a protractor (clear small piece of paper). Thank you! Start thinking about something you did this weekend that you can share with the class.
Homework from Friday: Page 24: 8-28 Evens, 36, 40, 43-44, 48-53 * Go over answers * Talk about questions Talk about #'s 20 and 22
Grades Updated * Missing work
Vocabulary Review: Give me your definition: * Point * Line * Plane * Segment * Ray * Opposite Rays Words/Picture * Collinear * Coplanar * Midpoint * Bisector
1.4 Measuring Angles An angle is formed by two rays with the same endpoint. The rays are the sides of the angle. The endpoint is the vertex of the angle. B Interior Angle Exterior Angle 0 Degrees 1 A C
Postulate 1-7 Protractor Postulate POINT Consider OB and a _______ A on one side of OB. Every ray of the form OA can be paired one to one with a real number from 0 to 180 degrees. A O B
What does the Protractor Postulate allow us to do? Basically it allows us to measure Angles
Four classifications for angles: 90 Degrees Degrees less than 90 Right Acute Degrees greater than 90 Obtuse Straight 180 Degrees
Example from Notes: C D A 70 B G F 90 90 E H What can you say about EFB and GFH
Angle Congruency: If two segments were the same length we said that they were congruent. Similarly, if two angle have the same measure, then they are ______________ congruent
Postulate 1-8 Angle Addition Postulate If _______ B is in the interior of AOC, then m AOB + m BOC = m AOC Point B A O C
Example from notes: Use the given figure to find the value of x and the measure of each labeled angle. Given: DEF is a straight angle C 0 0 (11x-12) (2x +10) E F D DEC = (11x -12) (11x - 12) + ( 2x + 10) = 180 = 11(14) - 12 13x - 2 = 180 13x = 182 = 154 - 12 x = 14 = 142 CEF = (2x + 10) = 2(14) + 10 = 28 + 10 = 38
Example from notes: Draw an obtuse RQT. A is a point on the interior of RQT. If the m RQT = 155 and m RQA = 4x - 20 and m TQA = 3x + 14, what is m RQA and m TQA? (DRAW A PICTURE!) A R 4x - 20 3x + 14 Q T Substitute and Solve for the missing angles. RQA + TQA = RQT (4x - 20) + ( 3x + 14) = 155 7x - 6 = 155 7x = 161 x = 23 RQA = TQA =
Homework: Page 27: 6-38 skip #28, 41, 45, 46
Help for clock problems: 12 1 11 10 2 9 3 8 4 7 5 6