OBJECTIVE: To define, illustrate, and identify some of the basic terms in Geometry. Term Idea POINT Picture Singular location B LINE A ~ Flat, 2 PLANE Dimensions Term Definition COLLINEAR (adj.) To lie on the same line together. Example Term B A Term (adj.) To lie in the same plane together E C c D Example “A, B, C, and D are coplanar. They all lie in plane c A ” Term Definition “ A , C and D are noncollinear. They do not all lie on line ~ ” Example E A c B C D (adj.) To not B A not all lie on the same line D Definition COPLANAR D ~ A ~ Example C NONCOLLINEAR (adj.) To C HJJG HJJG AB or BA line k e e Definition “A , B and C are collinear. They all lie on line ~ ” B A A Straight, 1 Straight Dimension Symbol NONCOPLANAR all lie in the same plane together “A B D & E are “A,B,D,& noncoplanar. They all do not all lie in plane c A ” 1 Term Definition Example E B A c Two lines intersect in a point ________. C D To have one or more common points INTERSECT HJJG “ EB intersects plane c at point B. (B is their intersection.)” Two planes intersect in a line ________. c Give another name for HJG J d P f M N L Give another name for HJJG J P f L N K H P f M Name 3 collinear points: J KN . K H JL . K H L M N 2 Name 3 noncollinear points: J K H P f P N Name the intersection of: J HJJG f and JN K H M L Name the intersection of: J L K P f M L Name 5 noncoplanar points: H N P N J K H M L Name 4 noncoplanar points: J f P f N f K H M L Name 4 coplanar points: J M N P f L HJG f and JL K H M N 3 Name the intersection of: J P f M Term Idea Picture Symbol J Have equal lengths K P 6" Q R QR ≅ TS QT ≅ RS T A Task J JK 6" or KJ K JK = 6 or KJ = 6 Formula JK ≅ PO 6" O EXAMPLES: Symbol A positive real number N L Picture Part of a line, has 2 endpoints HJJG HJJG HL and KN K H Term Idea S C B FINDING DISTANCE (lengths) on a NUMBER LINE 2. If AB=8 then 4 4 and CB=_____ AC=_____ . 3 11 19 A B C D CD = _____ BC = _____ AC = _____ AB = _____ AD = _____ Subtract coordinates (HigherLower) EXAMPLES: AC=12.5, CB=7.2 12.5 1. If AC=8 then 16 . 8 CB=_____ CB and AB AB=_____ Example -13 7.2 C A B Find AB. 12.5 + 7.2 = 19.7 4