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P1 Ruler Postulate
the distance between any two points equals the absolute value of the difference of their coordinates

P2 Segment Addition Postulate
If B is between A and C, then AB+BC=AC

P3 Protractor Postulate
with any given angle, a line/ray/segment can be drawn (use for drawing auxillary line)

P4 Angle Addition Postulate
If point B lies in the interior of ∠AOC then m∠AOB+m∠BOC=m∠AOC
If ∠AOC is a straight angle and B is ant not on lineAC, then m∠AOB+m∠BOC=180

P5 A line contains at least ____; a plane contains at least ____ not____; space contains at least ____ not ____
two points; three points not all in one line; four points not all in one plane

P6 Through two points...
there is exactly one line

P7 Through any three points ____; through any three ____ points

T45 If a point lies on the perpendicular bisector of a segment then
the point is equidistant from the segments' endpoint

146 If a point is equidistant from the endpoints of the segment then
the point lies on the perpendicualar bisector of the segment

147 If a point lies on the bi. of an angle then
the point is equidistant from the sides of the angle

T48 If a point is equidistant from the sides of an angle then
the point lies on the angle's bisector

Def of ▱
quad. w/ both oppostie sides parallel

T51 If ▱ then both pairs of ____ sides are ____
opp.; congruent

T52 If ▱ then both pairs of opp. a_____ are _____
angles; congruent

T53 If ▱ then d______ ______ each other
diag. bisects

T58 If two lines are parrallel, then all ______ on one _____ are _______ from the other _________
points; line; equidistant; line

T59 If 3 parallel lines cut off _________ segments one one transversal, then they cut off congruent on every _________
congruent; transversal

T510 A line that contains the midpoint of one side of a traingle and is parallel to another side passes through the _______ of the ________ __________
midpoint; third side

T511 The segment that joins the midpoints of two sides of a triangle (1)? and (2)?
 (1) is parallel to the third side
 (2) is half as long as the third side

Requirements for adj. angles
 1.) common vertex
 2.) common side
 3.) no common interior points

