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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

RayOARayOB=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, NonLineable 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, NonLinable 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


SideSideSide (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


SideAngleSide (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


AngleSideAngle (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 nonoverlapping parts of a region is the area


AngleAngle (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
