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Lesson 1-1 Point, Line, Plane

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Presentation on theme: "Lesson 1-1 Point, Line, Plane"— Presentation transcript:

1 Lesson 1-1 Point, Line, Plane
Objective: To introduce endpoints, line segments, lines, rays, and collinear points. Lesson 1-1 Point, Line, Plane

2 Lesson 1-1 Point, Line, Plane
Vocabulary Collinear Endpoints Geometry Line Line Segment Plane Point Ray Lesson 1-1 Point, Line, Plane

3 Lesson 1-1 Point, Line, Plane
Geometry Study of the size, shape and position of objects. Point A location in space represented by a dot. Lesson 1-1 Point, Line, Plane

4 Lesson 1-1 Point, Line, Plane
Points 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). A B C A Lesson 1-1 Point, Line, Plane

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

6 Lesson 1-1 Point, Line, Plane
Collinear Points 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. Ex: To find if A (1, 0) is collinear with the points on the line y = -3x + 3. Substitute x = 1 and y = 0 in the equation. 0 = -3 (1) + 3 0 = 0 = 0 The point A satisfies the equation, therefore the point is collinear with the points on the line. A B C Collinear C A B Non collinear Lesson 1-1 Point, Line, Plane

7 Lesson 1-1 Point, Line, Plane
Line Segment A line between any two points is a line segment. Written as AB A Endpoints – A and B are endpoints B Lesson 1-1 Point, Line, Plane

8 Lesson 1-1 Point, Line, Plane
Ray A set of points that is part of a line; it has one endpoint and extends in one direction with no end. Lesson 1-1 Point, Line, Plane

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

10 Different planes in a figure:
B Plane ABCD Plane EFGH Plane BCGF Plane ADHE Plane ABFE Plane CDHG Etc. D C E F H G Lesson 1-1 Point, Line, Plane

11 Other planes in the same figure:
Any three non collinear points determine a plane! Plane AFGD Plane ACGE Plane ACH Plane AGF Plane BDG Etc. Lesson 1-1 Point, Line, Plane

12 Lesson 1-1 Point, Line, Plane
Coplanar Objects Coplanar objects (points, lines, etc.) are objects that lie on the same plane. The plane does not have to be visible. Are the following points coplanar? A, B, C ? Yes A, B, C, F ? No H, G, F, E ? Yes E, H, C, B ? Yes A, G, F ? Yes C, B, F, H ? No Lesson 1-1 Point, Line, Plane

13 Intersection of Figures
The intersection of two figures is the set of points that are common in both figures. The intersection of two lines is a point. m Line m and line n intersect at point P. P n Continued……. Lesson 1-1 Point, Line, Plane

14 3 Possibilities of Intersection of a Line and a Plane
(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, Plane

15 Intersection of Two Planes is a Line.
B P A R Plane P and Plane R intersect at the line Lesson 1-1 Point, Line, Plane


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