Card Set Information
theorems and postulates
Through any 2 points there is exactly 1 line
Through any 3 collinear points there its exactly 1 plane
A line contains at least 2 points
A plane contains at least 3 points, not all on the same line
If 2 points lie on a plane, then the entire line containing those 2 points lies in that plane
2 lines intersect in exactly one point
2 planes intersect in a line
If M is mp of (segment) AB then (segment) AM is congruent to (segment) MB
The points on any line or line segment can be paired with real numbers so that given any 2 points, A and B on a line, A corresponds to zero, and B corresponds to a positive real number
Segment Addition Postulate
If A, B and C are collinear and B is between A and C, then AB + BC= AC.
If AB+BC=AC then B is between A and C.
Congruence of segments is reflexive, symmetric & transitive
Given (ray) AB and a number r between 0 and 180, there is exactly one ray with endpoint A, extending on either side of (ray) AB, such that the measure of the angle formed is r.
Angle Addition Postulate
If R is in the interior of <PQS then the m<PQR and the m<RQS= the m<PQS
If 2 <'s form a linear pair, then they are supplemenetary
If the noncommon sides of 2 adjacent angles form a right angle, then the angles are complementary angles.
Angles supplementary to the same angle or to congruent angles are congruent
Angles complementary to the same angle or to congruent angles are congruent
Perpendicular lines intersect to form 4 right anlges
ALL right angles are congruent
Perpendicular lines form congruent adjacent angles.
If 2 <'s are congruent and supplementary, then each angle is a right angle
If 2 congruent <'s form a linear pair, then they are right angles.
Vertical Angles's Theorem (2.8)
Vertical Angles are Congruent