Lesson 1-1 Point, Line, Plane1 Lesson 1-1 Point, Line, Plane

 Point – a specific location in space  Points do not have actual size.  How to Sketch: Using dots  How to label: Use capital letters Never name two points with the same letter (in the same sketch). Lesson 1-1 Point, Line, Plane2 A B AC

 Line- segment extending forever in opposite directions  Lines extend indefinitely and have no thickness or width.  How to sketch : using arrows at both ends.  How to name: several ways (1) small script letter – line n or n (2) any two points on the line -  Never name a line using three points –  2 points make up a line Lesson 1-1 Point, Line, Plane 3 n A B C

 Collinear points are points that lie on the same line. (The line does not have to be visible.)  A point lies on the line if the coordinates of the point satisfy the equation of the line. Lesson 1-1 Point, Line, Plane4 A BC A B C Collinear Non collinear

 A plane is a flat surface that extends indefinitely in all directions.  How to sketch: Use a parallelogram (four sided figure)  How to name: 3 ways (1) Capital script letter – Plane M, M, Plane ABC (2) Any 3 non collinear points in the plane - Plane: ABC/ ACB / BAC / BCA / CAB / CBA Lesson 1-1 Point, Line, Plane5 A B C Horizontal Plane M Vertical PlaneOther

Lesson 1-1 Point, Line, Plane6 A B CD E F G H Plane ABCD Plane EFGH Plane BCGF Plane ADHE Plane ABFE Plane CDHG Etc.

Any three non collinear points determine a plane! Lesson 1-1 Point, Line, Plane7 Plane AFGD Plane ACGE Plane ACH Plane AGF Plane BDG Etc.

Coplanar objects (points, lines, etc.) are objects could be on the same plane. The plane does not have to be visible. Lesson 1-1 Point, Line, Plane8 Are the following points coplanar? A, B, C ? H, G, F, E ? E, H, C, B ? A, G, F ? Yes

 Points that could not be connected by a plane are said to be Non Coplanar points A C B F B C E G Lesson 1-1 Point, Line, Plane9 NO

The intersection of two figures is the list of all points that are shared by both figures. Lesson 1-1 Point, Line, Plane10 The intersection of two lines is a point. m n P Continued……. Line m and line n intersect at point P.

(1) Line passes through plane – intersection is a point. (2) Line lies on the plane - intersection is a line. (3) Line is parallel to the plane - no common points. Lesson 1-1 Point, Line, Plane11

Lesson 1-1 Point, Line, Plane12 I II IIIIV ORIGIN X-Axis Y-Axis

 FOG pg 7-8 #1-5, 8-11,13-15,19-21 in workbook  Geometry pg 7-8 #1-5,11-14, 17,18, 20-25, in workbook Lesson 1-1 Point, Line, Plane13