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Lesson 1-R Chapter Review
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Objectives Review chapter
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Vocabulary none new
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Visual Definitions k Points A, B, C, D Line k Collinear A, B, C
y A, B, C, D Line k (-5,5) k (6,4) D C Collinear (0,1) A, B, C x A Line Segments (-6,-2) BA, BC, AC B Plane xy coordinate Coplanar A, B, C, D
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Precision Precision – ½ the smallest unit of measure on the measuring device 1 2 3 4 40°F 50°F 60°F 70°F Smallest Unit of Measure = 1/8 th inch Precision = (1/8)/2 = 1/16 th inch String Length is 2 ¼ ± 1/16 or between 2 3/16 and 2 5/16 inches long Smallest Unit of Measure = 2°F Precision = (2°F)/2 = 1°F Temperature is 60°F ± 1°F or between 59°F and 61°F
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Whole = Sum of its Parts Any distance can be broken into pieces and the sum of those pieces is equal to the whole distance 11 14 6 A B C D 32 The whole length, AD, is equal to the sum of its parts, AB + BC + CD AD = AB + BC + CD 32 =
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Distance and Mid-points Review
Concept Formula Examples Mid point Nr line Coord Plane (a + b) 2 (2 + 8) 2 [x2+x1] , [y2+y1] 7 + 1 , Distance D = | a – b | D = | 2 – 8| = 6 D = (x2-x1)2 + (y2-y1)2 D = (7-1)2 + (4-2)2 = 40 = 5 = (4, 3) (1,2) (7,4) Y X ∆x ∆y D a b 1 2 3 4 5 6 7 8 9
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Interior of angle AVB or V
Angles 360º A Circle Exterior of angle Ray VA Interior of angle AVB or V Vertex (point V) V Ray VB B Angles measured in degrees A degree is 1/360th around a circle Acute Right Obtuse A A A mA < 90º mA = 90º 90º < mA < 180º Names of angles: Angles have 3 letter names (letter on one side, letter of the vertex, letter on the other side) like AVB or if there is no confusion, like in most triangles, then an angle can be called by its vertex, V
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Vocabulary Number of Sides Polygon Name 3 Triangle 4 Quadrilateral 5
Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 12 Dodecagon n N-gon Linear pair – a pair of adjacent angles whose noncommon sides are opposite rays (always supplementary) Vertical angles – two non adjacent angles formed by two intersecting lines Vertical angles are congruent (measures are equal)!! Complementary Angles – two angles whose measures sum to 90° Supplementary Angles – two angles whose measures sum to 180° Perpendicular – two lines or rays are perpendicular if the angle (s) formed measure 90°
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Summary & Homework Summary: xxxx Homework: study for the test
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