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* Grab a white piece of paper from the cart. * Pull your homework out. Tuesday September 10, 2013. Bell Question. Homework from Monday:. Page 31: #'s 6-38 evens skip 28, 41, 45, 46. Homework Quiz. #20. 1) . 2). #22. #24. 3). 4). #30. 1.5 Exploring Angle Pairs.

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  1. * Grab a white piece of paper from the cart * Pull your homework out Tuesday September 10, 2013

  2. Bell Question

  3. Homework from Monday: Page 31: #'s 6-38 evens skip 28, 41, 45, 46 Homework Quiz

  4. #20 1) 2) #22 #24 3) 4) #30

  5. 1.5 Exploring Angle Pairs "For every action there is an equal and opposite reaction." ~Newton's 3 Law of Motion "For every angle there is typically another angle that is related/dependant/adjoined to it in some way." ~Bloch (2013)

  6. 4 types of angle pairs: * Adjacent Angles: Adjacent angles are two coplanar angles with a common side, a common vertex and no common interior points. 3 2 1 4 Adjacent Adjoining Next to Neighbors

  7. 4 types of angle pairs: * Vertical Angles Vertical angles are two angles whose sides are opposite rays. 3 2 1 4 Vertical Across

  8. 4 types of angle pairs: * Complementary Angles Complementary angles are angles whose measures have a sum of 90. Each angle is called the complement of the other. A 43 47 1 2 B C comes before S 90 comes before 180

  9. 4 types of angle types: * Supplementary Angles Supplementary angles are two angles whose measures have a sum of 180. Each angle is called the supplement of the other. 1 2 43 137 B A C comes before S 90 comes before 180

  10. Example from notes: On your own 2 3 1. Two pairs of vertical angles 2. Two pairs of adjacent angles 3. Two pairs of complementary angles 4. A pair of supplementary angles. 1 4 6 5

  11. What we can and can not assume when looking at a diagram... Things that we can assume: * Angles are adjacent * Angles are adjacent and supplementary * Angles are vertical Things we can not assume: * Angles or segments are congruent * An angle is a right angle * Angles are complementary

  12. A LINEAR PAIR is a pair of adjacent angles whose non common sides are opposite rays. A pair of a linear pair form a straight angle. D B C A Postulate 1-9 "Linear Pair Postulate" If two angles from a linear pair, then they are supplementary.

  13. Example from notes: Find the measure of each angle. Does this figure make sense? L What do we know about this figure? Where do we start? (2x + 24) (4x + 36) P J K KPL + LPJ = 180 (2x + 24) + (4x +36) = 180 6x + 60 = 180 6x = 120 x = 20 4(20) + 36 = LPJ 2(20) + 24 = KPL 116 = LPJ 64 = KPL

  14. ANGLE BISECTOR A _____________ is a ray which divides an angle into two congruent angles. Its endpoint is at the angle _________. VERTEX After using the segment bisector, we can mark both angles as congruent

  15. Example 3: Ray BD bisects ABC. ABD has a measure of 3x-3. DBC has a measure of 2x + 7. Draw a figure, then find x and the measusure of each angle. ABD = DBC ABD = 3x - 3 = 3(10) - 3 = 27 3x - 3 = 2x + 7 x = 10 DBC = 2x + 7 = 2(10) + 7 = 27

  16. Homework: Page 38 # 7-24 # 26-40 – evens # 49 # 54-59 Quiz tomorrow over 1.1-1.5 Bring a book!

  17. 12 11 1 2 10 3 9 4 8 5 7 6

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