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GS Postulates and Th

GS - Geometry H. - Postulates and Theorems

QuestionAnswer
Ruler Postulate The distance between any two points equal the absolute value of the difference of there coordinates.
Segment Addition Postulate If B is the midpoint of A and C, then AB + BC = AC.
Protractor Postulate Computing the absolute value of the acute and obtuse degrees.
Angle Addition Postulate m
A line contains at least ... points Two.
A plane contains at least ... points not all in one line. Three.
Space contains at least ... points not all in one plane. Four.
Through any two points, ... There is at least one line.
Through any three points, ... There is at least one plane.
Through any three noncollinear points, ... There is exactly one plane.
If two points are in a plane, ... Then the line that contains the points are also in the plane.
If two planes intersect, ... Then there intersection is a line.
If two lines intersect, ... Then they intersect in exactly one point.
Through a line and a point not on the line, ... There is exactly one plane.
If two lines intersect, ... Then exactly one plane contains the lines.
Midpoint Theorem if M is the midpoint of segment AB, then AM 1/2AB and MB = 1/2AB
Angle Bisector Theorem If ray BX is the bisector of
Vertical angles are ... congruent.
If two lines are perpendicular, then they form ... congruent adjacent angles.
If two lines form congruent adjacent angles, then they are perpendicular.
If the exterior sides of two congruent acute adjacent angles are perpendicular, then the angles are ... complements.
If two lines are perpendicular, then they form. Key Word: right angle (90 degrees) right angles.
If two lines form right angles, then the lines are ... perpendicular.
Created by: MrGman