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chapter 1
geomtry
30
Mathematics
10th Grade
01/28/2010

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Term
inductive reasoning
Definition
reasoning based on patterns you observe
Term
counterexample
Definition
is an an example for which the conjecture is incorrect
Term
point
Definition
is a location represented by a small dot an a capital letter
Term
space
Definition
set of all points
Term
line
Definition
extends in two opposite directions without end
Term
collinear point
Definition
points the lie on the same line
Term
plane
Definition
is a flat surface that has no thickness contains many lines and extends in all dirctions without end
Term
coplanar
Definition
points and lines on the same plane
Term
postulate(axiom)
Definition
accepted statement of fact
Term
postulate 1
Definition
through any two points there is exactly one line
Term
postulate 2
Definition
if two lines intersect then they intersect at exacly one point
Term
postulate 3
Definition
if two planes intersect then they intersect in exacly one line
Term
postulate 4
Definition
through any three non collinear points there is exactly one plane
Term
segment
Definition
is the part of a line consisting of two endpoints and all points between them
Term
ray
Definition
is the line consisting of one endpoint and all the points of the line on one side of the endpoint
Term
opposite rays
Definition
two collinear rays with the same endpoint opposite rays always form a line
Term
parallel lines
Definition
are coplaner lines that dont intersect
Term
skrew lines
Definition
are noncoplaner not parallel and do not intersect
Term
parallel planes
Definition
are planes that dont intersect
Term
congruent segments
Definition
two segments with the same length
Term
midpoint
Definition
is a point that divides a segment into congruent segments
Term
acute angles
Definition
less than 90 degrees
Term
right angle
Definition
exacly 90 degrees
Term
obtuse angle
Definition
more than 90 degrees less than 180 degrees
Term
straight line
Definition
exacly 180 degrees
Term
congruent angles
Definition
angles with the same measure
Term
straightedge
Definition
a ruler with no markings
Term
perpendicular lines
Definition
two lines that intersect to form right angles
Term
perpendicular bisector
Definition
line,segment,or ray that is perpendiular to the segment at its midpoint bisecting the segment into two congruent segments
Term
angle bisector
Definition
is a ray that divides anangle into two congruent coplanar angles its enpoint is at the angle vertex
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