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29 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Ruler Postulate
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"The points on a line can be matched one to one with real numbers. The real number that corresponds to a point is the coordinate of the point. The distance between points A and B, written as AB, is the absolute value of the difference between the coordinates of A and B" ~Ron Larson, Laurie Boswell, Lee Stiff
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Points on a line. Real numbers. AB, Absolute value
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Segment Addition Postulate
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"If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B is between A and C." ~Ron Larson, Laurie Boswell, Lee Stiff
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AB+BC=AC
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Protractor Postulate
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"Consider a point A on one side of line OB. The rays of the line OA can be amtched one to one with the real numbers from 0 to 180. The measure of angle AOB is equal to the absolute value of the different between the real numbers for Ray OA and Ray OB"~Ron Larson, Laurie Boswell, Lee Stiff
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RayOA-RayOB=absolute value of angle AOB
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Angle Addition Postulate
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"If P is in the interior of angle RST then the measure of angle RSP + the emasure of angle PST = the measure of angle RST"~Ron Larson, Laurie Boswell, Lee Stiff
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The Masure of angle RSP+ the measure of angle PST = the measure of angle RST
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5
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"Through any two points there exsists exactly one line"~Ron Larson, Laurie Boswell, Lee Stiff
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There is only one line
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6
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"A line contains at least two points"~Ron Larson, Laurie Boswell, Lee Stiff
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Line must have ____ points
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7
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"If two lines intersect, then their intersection is exactly one point"~Ron Larson, Laurie Boswell, Lee Stiff
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Point of intersection
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8
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"Through any three noncollinear points there exsists exactly one plane"~Ron Larson, Laurie Boswell, Lee Stiff
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One plane
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9
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"A plane contains at least three noncollinear points."~Ron Larson, Laurie Boswell, Lee Stiff
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Three points
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10
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"If two points lie in a plane, then the line containing them lies in the plane"~Ron Larson, Laurie Boswell, Lee Stiff
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One Plane, One line, two points
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11
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"If two planes intersect, then their intersection is a line"~Ron Larson, Laurie Boswell, Lee Stiff
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Two planes, One Line
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Linear Pair Postulate
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"If two angles form a linear pair, then they are supplementary"~Ron Larson, Laurie Boswell, Lee Stiff
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Supplementary angles
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Parallel Postulate
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"If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line"~Ron Larson, Laurie Boswell, Lee Stiff
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Line, Non-Lineable point, Parallel
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Perpendicular Postulate
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"If there is a line and a point not on the line, then there is exactly one line through the pint perpendicular to the given line"~Ron Larson, Laurie Boswell, Lee Stiff
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Line, Non-Linable Point, Perpendicular line
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Corresponding Angles Postulate
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"if two parallel lines are cut by a tranversal, then the pair of corresponding angles are congruent"~Ron Larson, Laurie Boswell, Lee Stiff
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Congruent, Transversal, Two parallel lines
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Corresponding Angles Converse
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"If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel"~Ron Larson, Laurie Boswell, Lee Stiff
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Congruent Angles= Parallel Lines
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Slopes of Parallel Lines
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"In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope"~Ron Larson, Laurie Boswell, Lee Stiff
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Same slope = Parallel Lines
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Slopes Of Perpendicular lines
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"In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Vertical and horizontal lines are perpendicular"~Ron Larson, Laurie Boswell, Lee Stiff
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Vertical and Horizonal lines are perpendicular
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Side-Side-Side (SSS) congruence Postulate
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"If three sides of a triangle are congruent to three sides of a second triangle, then the two triangles are congruent"~Ron Larson, Laurie Boswell, Lee Stiff
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Two congruent sides = congruent triangles
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Side-Angle-Side (SAS) Congruence Postulate
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"If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent"~Ron Larson, Laurie Boswell, Lee Stiff
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Two triangles are congruent if two angles and a side are congruent
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Angle-Side-Angle (ASA) Congurence Postulate
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"If two angles and the included side of one triangle are congruent to the two angles and the included side of a second triangle, then the two triangles are congreunt"~Ron Larson, Laurie Boswell, Lee Stiff
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Two triangles Two Angles one side = congruent
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Area of a Square Postulate
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"The area of a square is the square of the length of its side.."~Ron Larson, Laurie Boswell, Lee Stiff
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Area of a square = one of the sides to the 2nd
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Area Congruence Postulate
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"If two polygons are congruent, then they have the same area"~Ron Larson, Laurie Boswell, Lee Stiff
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Congruent Polygons = Same Area
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Area Addition Postulate
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"The area of a region is the sum of the areas of its nonoverlapping parts"~Ron Larson, Laurie Boswell, Lee Stiff
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The non-overlapping parts of a region is the area
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Angle-Angle (AA) Similarity Postulate
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"If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar"~Ron Larson, Laurie Boswell, Lee Stiff
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Two triangles, Two congruencies = Similarity
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Arc Addition Postulate
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"The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs"~Ron Larson, Laurie Boswell, Lee Stiff
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Measure of an arc= Measure of an arc = sum of total arch
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Volume of a Cube
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"The volume of a cube is the cube of the length of its side"~Ron Larson, Laurie Boswell, Lee Stiff
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Side of a cube to the 3rd
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Volume Congruence Postulate
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"If two polyhedra are congruent thent hey have the same volume"~Ron Larson, Laurie Boswell, Lee Stiff
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Two shapes one congruency one volume
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Volume Addition Postulate
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"The volume of a solid is the sum of the volumes of all its nonoverlapping parts"~Ron Larson, Laurie Boswell, Lee Stiff
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volume of solid is volume of nonoerlapping parts
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