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Published byDerek McGee Modified over 6 years ago
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On whiteboard draw the guided practice diagram shown on pg. 7
Reference this diagram as you discuss the terms
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1.2 Points, Lines, and Planes
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There are three undefined terms in geometry:
What is a definition? Known words used to describe a new word Undefined terms – are terms not formally defined. There are three undefined terms in geometry: 1. Point 2. Line 3. Plane
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Point 1. A location in space.
2. Has no dimension (no length, no width, no depth). 3. All geometric figures consist of points POINTS ARE TO GEOMETRIC FIGURES AS ___________ IS TO HUMANS?
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What would be a real world example of a point?
For example: ●B What would be a real world example of a point?
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Line An infinite set of points that extends in opposite directions forever. One-dimensional (length). Always straight.
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How do we name a line has more than 2 points on it?
For example: Can be called: Line l Line AB or AB Line BA or BA l A B Real World example? How do we name a line has more than 2 points on it?
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Plane A flat surface that extends forever in two dimensions (length & width). Contains infinitely many points and lines. Has no thickness
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Plane For example: Can be named: Plane W
Plane ABC, plane BCA, plane CBA, etc. **Planes can be named by more than 3 points, but they must be named in either a clockwise or counter-clockwise manner A W C B Real World example?
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Horizontal Planes – Ceiling and Floor
Horizontal Planes – Two sides horizontal and no sides vertical 10
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Vertical Planes – Walls Vertical Planes – two sides are vertical
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**Think of the preffix “CO” as sharing.**
More Definitions Collinear points – points that can lie on the same line. **Think of the preffix “CO” as sharing.**
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More Definitions Noncollinear points – D
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More Definitions Coplanar points – What does it mean?
points that can lie on the same plane.
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More Definitions If the points do not lie in the same plane they are?
Noncoplanar points – A D
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QUESTIONS 1 – 10 ON WORKSHEET
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More Definitions Intersect – Intersection –
Two or more figures intersect if they have one or more points in common. Think “meet” or “Cut” Intersection – All points or sets of points the figures have in common. Depending on what is intersecting, the intersection will be different
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4 types of intersections between points, lines, and planes
Point and a line 2 lines 2 planes A plane and a line
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When a line and a point intersect, their intersection is a point.
B Like taking a road trip and driving through a certain town or city on the map.
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When 2 lines intersect, their intersection is a point.
Like the intersection of Foothill and Ramsdale
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When 2 planes intersect, their intersection is a line.
The planes are cutting through one another
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When a line and plane intersect, their intersection is a point.
Like sticking a pencil through a piece of paper
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QUESTIONS
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More Definitions Equidistant – equally distant
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TRUE/FALSE PF ends at P A plane has no thickness REST OF QUESTIONS
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Questions???
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