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Transcript
Lesson 1-R Chapter Review Objectives • Review chapter Vocabulary • none new Visual Definitions Points y A, B, C, D Line k (-5,5) k (6,4) D Collinear (0,1) A, B, C Line Segments BA, BC, AC Plane xy coordinate Coplanar A, B, C, D C A (-6,-2) B x 2 ¼ ½ ¾ 3 ¼ ½ ¾ 4 Precision Precision – ½ the smallest unit of measure on the measuring device 70°F Smallest Unit of Measure = 1/8 th inch Precision = (1/8)/2 = 1/16 th inch 60°F String Length is 2 ¼ ± 1/16 or between 2 3/16 and 2 5/16 inches long 50°F 1 ¼ ½ ¾ 40°F 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 Whole = Sum of its Parts Any distance can be broken into pieces and the sum of those pieces is equal to the whole distance 14 11 A B 6 C D 32 The whole length, AD, is equal to the sum of its parts, AB + BC + CD AD = AB + BC + CD 32 = 11 + 14 + 6 Distance and Mid-points Review Concept Mid point Nr line Formula Examples (a + b) 2 (2 + 8) 2 [x2+x1] , [y2+y1] 2 2 Coord Plane Distance Nr line Coord Plane D=|a–b| (x2-x1)2 + (y2-y1)2 D= =5 7 + 1 , 4 + 2 = (4, 3) 2 2 D = | 2 – 8| = 6 D = (7-1)2 + (4-2)2 = 40 Y (7,4) a 1 2 D b 3 4 5 6 7 8 9 (1,2) ∆y ∆x X Angles 360º A Exterior of angle Circle Vertex (point V) Interior of angle AVB or V V B Ray VB Angles measured in degrees A degree is 1/360th around a circle Acute A mA < 90º Right Obtuse A A 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 Vocabulary Number of Sides Polygon Name 3 4 Triangle Quadrilateral 5 6 Pentagon Hexagon 7 8 Heptagon 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° Summary & Homework • Summary: – xxxx • Homework: – study for the test