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Activity Each group member grab a marker.
Red: draw a random point on the whiteboard and name it - Earth Yellow: draw a random point on the whiteboard and name it - Sun Blue: draw a random point on the whiteboard and name it - Moon Green: draw a random point on the whiteboard and name it – Mars Draw 4 random points on the whiteboard and label it A, B, C, D Draw the fastest way to go from Earth to Moon, and Mars to the Sun Look at your drawings and determine if you agree or disagree on this statement: “A straight line is always the fastest way to go from one place to another in a 2D world”
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Chapter 1.3 Points, Lines, and Planes
1.0 Demonstrate understanding by identifying and giving examples of undefined terms and axioms
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What do you think this is a picture of?
Where do you think it’s located?
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Vocabulary Space: set of all points
Example: Look at the space picture Point: Point is a location. A point has no size Example : .P Line: Line is a series of points that extend in two directions without end. t B A Line t
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Vocabulary Collinear points: Points that lie on the same line
Naming the line: Naming the line:
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Example Are points P and S collinear? Are points U and T collinear? Are points Q, S, T collinear? Are points U, P V collinear?
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Vocabulary Plane: flat surface that has no thickness
Coplanar: Points and lines in the same plane R B C A Naming the plane: Plane ABC or Plane R Note: you need 3 points
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Naming a plane Name a plane B D A C H E G F
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Vocabulary In geometry you will have many postulate or axioms.
Postulate or axiom: an accepted statement of fact
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Postulate 1.1 Through any two points there is exactly one line
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Postulate 1.2 If two lines intersect, then they intersect in exactly one point.
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Postulate 1.3 If two planes intersect, then they intersect in exactly one line
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Postulate 1.4 Through any three noncollinear points there is exactly one plane
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Homework P19 #2, 6, 9, 12, 16, 18, 20, 23, 30, 34, 35
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