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a mathematical statement assumed to be true |
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a clear, logical structure that begins from accepted ideas and proceeds through logic to reach a conclusion |
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a mathematical statement that has been or is to be proven on the basis of established definitions and properties |
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three noncollinear points determine a ___ |
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all the points along a straight, unbroken path that extends forever in both directions |
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a flat surface that extends forever in all directions |
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the process of repeating a unit over a quantity |
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line segments that have equal length |
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If two segments have the same length as measured by a fair ruler, then the segments are ____. |
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Segment Addition Postulate: If point B is between points A and C on a line, then AB+BC=____ |
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an angle that measures less than 90 degrees |
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the figure formed by two rays, called sides, that share the same endpoint |
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the region outside the lines that make up an angle |
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the region between the two sides of an angle |
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an angle that measures greater than 90 degrees and less than 180 degrees |
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an angle that measures 90 degrees |
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an angle that measure exactly 180 degrees (is a line) |
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the common endpoint of the angle |
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a part of a line that begins at an endpoint and extends forever in one direction |
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coplanar lines that never intersect |
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lines that meet at right angles |
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a line, line segment, or ray that divides an angle into two congruent angles |
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an educated guess based on observations |
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a point that divides a line segment into two congruent parts |
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a line that is at the midpoint of and perpendicular to a line segment |
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a line, line segment, or ray that passes through the midpoint of a line segment |
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the point at which the perpendicular bisectors of each side of a triangle meet |
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encircling and touching each vertex of another figure; a circle is circumscribed about a triangle if each vertex of the triangle lies on the circle |
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the center of the circle that can be inscribed within a figure |
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a circle inside a figure and touching exactly one point on each side of the figure |
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When lines intersect at a single point, the lines are said to be ___. |
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the point of intersection of the three medians of a triangle |
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a segment drawn from the vertex of a triangle to the midpoint of its opposite side |
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in a transformation, the figure that is the result of the transformation |
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a transformation that preserves the size and shape of an object's original image |
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an original figure before transformation |
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a transformation of a figure by flipping it across a line or line segment, creating a mirror image of the figure |
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the turning of a figure a certain number of degrees around a central point |
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a one-to-one mapping between two sets of points |
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the sliding of a figure in a straight path without rotation or reflection |
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The coordinate plane is labeled from l to lV, starting in the upper right corner and labeling ____. |
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a type of reasoning that uses previously proven or accepted properties to reach conclusions |
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a type of reasoning that is based on observations of patterns and past events |
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an act of seeing or otherwise recognizing a situation, detail, or the like |
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a statement that is presumed to be true in the course of a logical argument |
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