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Point, Line and plane
This document provides definitions and examples related to key geometric concepts. It introduces undefined terms like point, line, and plane and defines them as having no size, extending infinitely in two directions, and being a flat surface that extends infinitely, respectively. It discusses other terms like collinear points, coplanar, segments, and rays. The document also covers postulates about how points and lines intersect and defines a postulate. Examples illustrate applying the concepts and a quiz tests understanding.
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Point, Line and plane
- 2. LESSON OBJECTIVES 1. Understandthe undefined terms in geometry. 2. Identify points, lines, and planes. 3. Illustrate points, lines, and planes. 4. Show and value determination and collaboration in completing tasks.
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- 10. • Undefined termsare used as building blocks of Geometry (and Math) • Geometry will have a lot of vocabulary words –The concepts will give us algebraic equations • Geometry will enhance our artistic abilities.
- 11. Undefined Terms • Point– indicates a location and has no size
- 12. Undefined Terms • Line– represented by a straight path that extends in two opposite directions without end and has no thickness. A line contains infinitely many points.
- 13. Undefined Terms • Plane– represented by a flat surface that extends without end and has no thickness. A plane contains infinitely many lines.
- 14. Undefined Terms • CollinearPoints – points that lie on the same line.
- 15. Undefined Terms • Coplanar– when points and/or lines lie on the same plane.
- 16. Undefined Terms • Segment– part of a line that consists of two endpoints and all points between them.
- 17. Undefined Terms • Ray– part of a line that consists of one endpoint and all the points of the line on one side of the endpoint.
- 18. Examples - Name twocoplanar lines. - Name three non-collinear points. - Name the plane two different ways. - Name a pair of opposite rays. W X Z Y V
- 19. Postulates • Postulate –accepted statement or fact. –Like undefined terms, used as building blocks of the logical system in geometry –Also known as axioms • Postulate 1.1- through any two points, there is exactly one line.
- 20. Postulates • Postulate 1.2-if two distinct lines intersect, then they intersect in exactly one point. • Postulate 1.3- if two distinct planes intersect, then they intersect in exactly one line.
- 21. Postulates • Postulate 1.4– through any three noncollinear points, there is exactly one plane.
- 22. Examples • Where doesPlane ABCD intersect Plane ACEG? • What plane contains the points C, D, and B? • What plane contains the points E, F, and C? A C B E G F H D
- 23. TRUE or FALSE QUIZ Clickto start
- 24. 1. A pointindicates a location and has no size. TRUE FALSE
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- 27. 2. A rayis a part of a line that consists of one endpoint and all the points of the line on one side of the endpoint TRUE FALSE
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- 30. 3. Through anytwo points, there is exactly one plane. TRUE FALSE
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- 33. 4. A rayis part of a line that consists of two endpoints and all points between them. TRUE FALSE
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- 36. 5. A linecontains infinitely many points. TRUE FALSE
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- 39. THE QUIZ ENDSHERE
- 40. ASSIGNMENT Name the following: 1.Points 2. Lines 3. Plane A C B E G F H D