Lesson 1-R Chapter Review

Objectives Review chapter

Vocabulary none new

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

Precision Precision – ½ the smallest unit of measure on the measuring device 1 2 3 4 ½ ¼ ¾ 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

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 = 11 + 14 + 6

Distance and Mid-points Review Concept Formula Examples Mid point Nr line Coord Plane (a + b) 2 (2 + 8) 2 [x2+x1] , [y2+y1] 2 2 7 + 1 , 4 + 2 2 2 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

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 mA < 90º mA = 90º 90º < mA < 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 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°

Summary & Homework Summary: xxxx Homework: study for the test