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28 Cards in this Set
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 Back
 3rd side (hint)
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 <AOC then m<AOB + m<BOC = m<AOC
If <AOC is a straight angle then m<AOB+m<BOC =180 


Congruent Angles

angles with the same measure



constructions

a way to create geometric objects using a straightedge and a compass



perpendicular lines

lines that intersect to form right angles



perpendicular bisector of a segment

a line, segment or ray that is perpendicular to a segment at its midpoint

