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### 29 Cards in this Set

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 Ruler Postulate "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 Points on a line. Real numbers. AB, Absolute value Segment Addition Postulate "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 AB+BC=AC Protractor Postulate "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 RayOA-RayOB=absolute value of angle AOB Angle Addition Postulate "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 The Masure of angle RSP+ the measure of angle PST = the measure of angle RST 5 "Through any two points there exsists exactly one line"~Ron Larson, Laurie Boswell, Lee Stiff There is only one line 6 "A line contains at least two points"~Ron Larson, Laurie Boswell, Lee Stiff Line must have ____ points 7 "If two lines intersect, then their intersection is exactly one point"~Ron Larson, Laurie Boswell, Lee Stiff Point of intersection 8 "Through any three noncollinear points there exsists exactly one plane"~Ron Larson, Laurie Boswell, Lee Stiff One plane 9 "A plane contains at least three noncollinear points."~Ron Larson, Laurie Boswell, Lee Stiff Three points 10 "If two points lie in a plane, then the line containing them lies in the plane"~Ron Larson, Laurie Boswell, Lee Stiff One Plane, One line, two points 11 "If two planes intersect, then their intersection is a line"~Ron Larson, Laurie Boswell, Lee Stiff Two planes, One Line Linear Pair Postulate "If two angles form a linear pair, then they are supplementary"~Ron Larson, Laurie Boswell, Lee Stiff Supplementary angles Parallel Postulate "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 Line, Non-Lineable point, Parallel Perpendicular Postulate "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 Line, Non-Linable Point, Perpendicular line Corresponding Angles Postulate "if two parallel lines are cut by a tranversal, then the pair of corresponding angles are congruent"~Ron Larson, Laurie Boswell, Lee Stiff Congruent, Transversal, Two parallel lines Corresponding Angles Converse "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 Congruent Angles= Parallel Lines Slopes of Parallel Lines "In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope"~Ron Larson, Laurie Boswell, Lee Stiff Same slope = Parallel Lines Slopes Of Perpendicular lines "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 Vertical and Horizonal lines are perpendicular Side-Side-Side (SSS) congruence Postulate "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 Two congruent sides = congruent triangles Side-Angle-Side (SAS) Congruence Postulate "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 Two triangles are congruent if two angles and a side are congruent Angle-Side-Angle (ASA) Congurence Postulate "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 Two triangles Two Angles one side = congruent Area of a Square Postulate "The area of a square is the square of the length of its side.."~Ron Larson, Laurie Boswell, Lee Stiff Area of a square = one of the sides to the 2nd Area Congruence Postulate "If two polygons are congruent, then they have the same area"~Ron Larson, Laurie Boswell, Lee Stiff Congruent Polygons = Same Area Area Addition Postulate "The area of a region is the sum of the areas of its nonoverlapping parts"~Ron Larson, Laurie Boswell, Lee Stiff The non-overlapping parts of a region is the area Angle-Angle (AA) Similarity Postulate "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 Two triangles, Two congruencies = Similarity Arc Addition Postulate "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 Measure of an arc= Measure of an arc = sum of total arch Volume of a Cube "The volume of a cube is the cube of the length of its side"~Ron Larson, Laurie Boswell, Lee Stiff Side of a cube to the 3rd Volume Congruence Postulate "If two polyhedra are congruent thent hey have the same volume"~Ron Larson, Laurie Boswell, Lee Stiff Two shapes one congruency one volume Volume Addition Postulate "The volume of a solid is the sum of the volumes of all its nonoverlapping parts"~Ron Larson, Laurie Boswell, Lee Stiff volume of solid is volume of nonoerlapping parts