1-2 Points, Lines, Planes

1-2 Points, Lines, Planes - over the pair of letters. Space...

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Section 1-2
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Point All geometric figures contain points. They have no size. In a figure, a point is represented by a dot. Points are named by capital letters.
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Plane - Planes can be thought of as flat surfaces that extend indefinitely in all directions and have no thickness. A plane is often represented by a parallelogram. They are usually named by a capital script letter or by 3 noncollinear points on the plane.
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Line – Lines extend indefinitely and have no thickness or width. In a figure, a line is shown with arrows at each end. Lines are usually named by lower case script letters or by writing capital letters for 2 points on the line, with a double arrow
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Unformatted text preview: over the pair of letters. Space – a boundless, 3-dimensional set of all points. Coplanar- points that lie on the same plane 2 points determine a line. 3 noncollinear points determine a plane. 2 lines intersect at a point. 2 planes intersect in a line. Postulate 1-1 Postulate 1-1 Through any two points there is exactly one line. If 2 lines intersect, then they intersect in exactly one point. Postulate 1-2 Postulate 1-2 Postulate 1-3 Postulate 1-3 If two planes intersect, then they intersect in exactly one line. Postulate 1-4 Postulate 1-4 Through any three noncollinear points there is exactly one plane. A line and a plane intersect at a point....
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This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

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1-2 Points, Lines, Planes - over the pair of letters. Space...

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