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Mrs. Nunemaker
chapters 1-2
59
Mathematics
9th Grade
01/14/2009

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Term
point
Definition
is simply a location
Term
plane
Definition
flat surface made up of points
Term
conjunction
Definition
two statements formed together by "and"
Term
line
Definition
made up of points. Has no thicknesss or width.
Term
angle bisector
Definition
a ray that divides an angle into congruent angles
Term
perpendicular lines
Definition
intersect to form right angles, form congruent adjacent angles
Term
postulate for 3 ppoints and a plane
Definition
through any three points that are noncollinear there is exactly one plane
Term
conjecture
Definition
educated guess based on known information
Term
a plane contains at least three points not on the same line
Definition
Term
distribute prop.
Definition
a(bc)= ab + bc
Term
opposite rays
Definition
share a common endpoint and go into opposite directions
Term
negation
Definition
has opposite meaning as well as opposite truth value of a statement
Term
if two points lie in a plane then the entire line containing those points lies in that plane
Definition
Term
segment bisector
Definition
any segment or line that intersects a segment at its midpoint.
Term
precision
Definition
depends on the smallest unit available on the measuring tool. Should be precise to .5 unit of measure. Ex. 1 precision: .5 or 1.5
Term
truth value
Definition
the truth or falsity of a statement
Term
disjunction
Definition
compound statement formed with the word "or"
Term
betweeness of points
Definition
a point inbetween two other points
Term
vertical angles
Definition
two nonadjacent angles formed by two intersecting lines
Term
vertex
Definition
common endpoint of an angle
Term
conditional statement
Definition
p-q
Term
adjacent angles
Definition
two angles that lie in same plane, have common vertex and a common side
Term
converse statement
Definition
q-p
Term
supplementary angles
Definition
two angles whose measures add up to 180 degrees
Term
collinear
Definition
points that lie on the same line
Term
vertical angles theorem
Definition
if two angles are vertical angles then they are congruent
Term
regular polygon
Definition
a convex polygon in which all the sides are congruent and all the angles are congruent
Term
ray
Definition
has one endpoint and goes infinitely on in one direction
Term
Coplaner
Definition
points that lie on the same plane
Term
substitution prop.
Definition
a=b then a may be replaced my b in any equation of expression
Term
inverse
Definition
~p-~q
Term
symettric property
Definition
a=b then b=a
Term
convex
Definition
no points of the lines are in the interior
Term
a line contains at least two points
Definition
Term
How do you find a midpoint?
Definition
m=(x+x/2, y+y/2)
Term
angle addition postulate
Definition
if R is in the interior of
Term
concave
Definition
if any lines extend to the interior of the polygon
Term
line segment
Definition
has two endpoints
Term
supplement theorem
Definition
if two angles form a linear pair, then they aresupplementary angles
Term
angles complementary to the same angle or to congrent angles are congruent
Definition
Term
segment addition postulate
Definition
if b is between a and c then ab+bc=ac
Term
all right angles are congruent
Definition
Term
transitive property
Definition
a=b and b=c then a=c
Term
angles supplementary to the same angle or to congruent angles are congruent
Definition
Term
if 2 angles are congruent and supplementary then each angle is a right angle
Definition
Term
if two lines intersect then their intersection is exactly one point
Definition
Term
if two planes intersect then their intersection is exactly one line
Definition
Term
multiplication and division prop.
Definition
a=b then a x c=b X c
and a/c =b/c
Term
complementary angles
Definition
measures add up to 90 degrees
Term
perpendicular lines form congruent adjacent angles
Definition
Term
contrapositive
Definition
~q-~p
Term
law of detachment
Definition
form of reasoning used to draw conclusions from true conditional statements
Term
postulate for a line and points
Definition
through any two points ther is exactly one line
Term
if two congruent angles form a linear pair, then they are right angles
Definition
Term
midpoint theorem
Definition
if M is the midpoint of AB then AM=MB
Term
reflexive property
Definition
a=a
Term
addition and subtraction prop.
Definition
a=b then a+c=b+c and a-c=b-c
Term
complement theorem
Definition
if the noncommon sides of two adjacent anges form a right angle then the angles are complementary angles
Term
perpendicular lines intersect to form right angles
Definition
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