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Bellwork. What is your definition of a point, a line and a plane?. 1-2: Points, Lines, and Planes. SLO- Students will learn to describe similarities, differences, and connections between lines and planes.
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Bellwork What is your definition of a point, a line and a plane?
1-2: Points, Lines, and Planes • SLO- • Students will learn to describe similarities, differences, and connections between lines and planes. • Students will learn to use basic definitions and postulates to identify points, lines, and planes on figures.
1-1: So what is a point? • No size • All geometric figures are made up of points • Can be represented by a small dot • Named by a Capital letter • Ex: P(3,9) Space is the set of all points.
What is a line? • A series of points that extend in two opposite directions without end. • A line can be written as such… …Take note of the arrows pointing in both directions. Describe some physical representations of lines in the real world.
Collinear vs. Non collinear Collinear points all lie on the same line. Noncollinearpoints do not lie on the same line. Plane Instead noncollinear points form a _______.
So what is a plane? • A flat surface that extends in all directions without end Can you name 3 objects within the classroom that may be considered a plane?
Postulate • An accepted statement of fact. Postulate 1-1: Through any two pints there is exactly one line. Example: Graph y=2x+1 Slope Y-intercept 2 is the ______ and 1 is the __________.
Postulate 1-2: • If two lines intersect, then they intersect in exactly one point.
Postulate 1-3: • If two planes intersect in a line.
Postulate 1-4: • Through any 3 noncollinear points there is exactly one plane.
Quiz time!! 1-1 1-2