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### 28 Cards in this Set

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 deductive reasoning takes known info to get to next step, each fact leads to next conclusion known to next inductive reasoning base hypothesis on what is seen so far hypothesis collinear points points that are on the same line coplanar points points that are on the same plane space set of all points postulates (axioms) accepted idea om geometry theory idea that has to be proven or justified Postulate (a) through any 2 points there is exactly one line (2 points determine a line) collinear points Postulate (b) If 2 lines intersect, they intersect at exactly one point line intersection Postulate (c) If 2 planes intersect, they intersect at exacly one line plane intersection Postulate (d) Through any 3 noncollinear points there is exactly 1 plane (three noncollinear points determine a plane) noncollinear points segment a part of a line consisting of 2 endpoints and all the points in between them ray a part of a line consisting of 1 endpoint and all the points of the line on 1 side of the endpoint opposite rays 2 collionear rays with the same endpoint opposite rays always form a line parallel lines coplanar lines that do not intersect skew lines noncoplanar lines parallel planes planes that never meet Ruler Postulate: If you have a number line, all the points on that line have a 1 to 1 correspondence to the numbers on the line congruent 2 segments of the same length If _AB is congruent to _CD then AB=CD and if AB=CD then _AB=_CD midpoint a midpt. of a segment is a point that divides a segment into 2 congruent segments (or two segments of equal length) B is the midpt. of _AC if _AB=_BC and B is in between A and C (and visa versa) Segment Addition Postulate If A,B,C are collinear and B is between A and C then AB+BC=AC angle union of 2 rays w/ a common endpt. the rays are the sides of the angle. The endpt. is the vertex of the angle Protractor Postulate If you look at all the possible angle measures between 0 and 180 and all the possible sized angles between a ray folded onto itself and a pair of opposite rays, there will be a 1 to 1 correspondence between the angle measures and the angles themselves Angle Addition Postulate If a point B is in the interior of