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Lesson 1.2 Intro to Geometry.

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Presentation on theme: "Lesson 1.2 Intro to Geometry."— Presentation transcript:

1 Lesson 1.2 Intro to Geometry

2 Learning Target I can understand basic geometric terms and postulates.

3 Points Points do not have actual size. How to Sketch: Using dots
How to label: Use capital letters A B

4 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 2 points on the line - Never name a line using three points - n A B C

5 Segments A part of a line that consists of two endpoints and all the points in between them. How to name: by 2 endpoints A B C

6 Rays A part of a line that consists of one endpoint and all the points to one side of that endpoint. A B C How to name: 2 points with ENDPOINT FIRST Not like this…

7 Opposite Rays Two rays that share the same endpoint and form a straight line. A B C

8 Collinear Points Collinear points are points that lie on the same line. C A A B C B Non collinear Collinear

9 Coplanar Objects Coplanar objects (points, lines, etc.) are objects that lie on the same plane. 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

10 Postulates An accepted statement of fact.

11 Line POSTULATE – Through any two points there is exactly ONE line
B

12 Planes POSTULATE – Through any 3 non-collinear points there is exactly ONE plane
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 or BCA or BAC, etc. A M B C

13 Different planes in a figure:
B Plane BCG Plane ABF Plane CDH Etc. D C E F H G

14 Other planes in the same figure:
Any three non collinear points determine a plane! Plane ACG Plane ACH Etc.

15 Intersection of Two Lines POSTULATE
The intersection of two lines is a point. m Line m and line n intersect at point P. P n

16 Intersection of Two Planes POSTULATE
The intersection of two planes is exactly ONE line. B P A R Plane P and Plane R intersect at the line


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