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A word that does not have a formal definition, but there is agreement about what the word means |
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A point has no dimension. It is usually represented by a dot. |
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A line has one dimension. It is usually represented by a straight line with two arrowheads to indicate that the line extends without end in two directions. In this book, lines are alwyas straight lines. |
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A plane has two dimensions. It is usually represented by a shape that looks like a floor or a wall. You must imagine that the plane extends without end, even thought the drawing of a plane appears to have edges. |
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Points that lie on the same line |
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Points that lie on the same plane |
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Terms that can be described using knows words |
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Part of a line that consists of two points, called endpoints, and all points on the line that are between the endpoints. Also called segment |
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Part of a line that consists of a point called an endpoint and all points on the line that extend in one direction |
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If point C lies on AB between A and B then CA and CB are opposite rays |
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Th set of points that two or more geometric figures have in common |
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A rule that is accepted without proof. |
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The real number that corresponds to a point on a line |
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Distance Between Two Points on a Line |
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The absolute value of the difference of the coordinates of the points. The distance between points A and B, writen as AB, is also called the length of AB |
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When three points lie on a line, you can say that one point is between the other two |
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Line segments that have the same length |
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A point that divides, or bisects, a segment into two congruent segments |
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A point, ray, line, segment, or plane that intersects a segment at its midpoint |
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Consists of two different rays with the same endpoint. The rays are the sides of the angle, and the endpoint is the vertex of the angle |
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An angle wiht measure between 90° and 180° |
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An angle with measure between 0° and 90˜° |
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An angle with measure equal to 90° |
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An angle wiht measure equal to 180° |
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Angles that have the same measure |
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A ray that divides an angle into two angles that are congruent |
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Two angles whose measures have the sum 90°. The sum of the measures of an angle and its complement is 90° |
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Two angles whose measures have the sum 180°. The sum of the measures of an angle and its supplement is 180° |
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Two angles that share a common vertex and side, but have no common interior points |
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Two adjacent angels whose non-common sides are opposite rays |
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Two angles whose sides form two pairs of opposite rays |
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A closed plane figure with the following properties. (1) It is formed by three or more line segments called sides. (2) Each side intersects exactly two sides, one at each endpoint, so that no two sides with a common endpoint are collinear |
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A polygon such that no line containing a side of the polygon contains a point in the interior of the polygon. A polygon that is not convex is non-convex or concave |
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A polygon that is not convex. |
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A polygon wiht all of its sides congruent |
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A polygon with all of its interior angles congruent |
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A polygon that has all sides and all angles congruent |
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