1-1 Points, Lines, and Planes

1-1 Points, Lines, and Planes - named by capital letters....

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Section 1-1
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Undefined Terms in Geometry Undefined Terms in Geometry There are 5 undefined terms in geometry that have no formal definition, but that we have developed a common notion about. point line plane between congruent
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3 Parts to a Good Definition 3 Parts to a Good Definition 1. Identifies the word or phrase as a member of a set of words or phrases 2. Shows how the word or phrase can be distinguished from other members of the set 3. Is always reversible.
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Example: Define a pen. “A pen is an instrument used for writing”. (Is this a good defn.?) No. There are other members of the set of instruments used for writing. How can you distinguish the pen from other members of this set? A pen uses ink. “A pen is a writing instrument which uses ink.”
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Define the following terms. Define the following terms. pencil ruler dog
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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
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Unformatted text preview: named by capital letters. 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 letter or by 3 noncollinear points on the plane. 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 over the pair of letters. Space a boundless, 3-dimensional set of all points. Collinear points that lie on the same line Coplanar- points that lie on the same plane 2 points determine a line. 3 noncollinear points determine a plane. The intersection of 2 figures is the set of points that are in both figures 2 lines intersect at a point. 2 planes intersect in a line. 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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1-1 Points, Lines, and Planes - named by capital letters....

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