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Geometry!
croattos geometry terms
49
Mathematics
10th Grade
12/14/2009

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Term
The points on a __ can be paired with real numbers in such a way that any two points can have the coordinates _and _
Definition
line, 0, 1
Term
If b is between A and C then AB + BC =AC
Definition
Segment Addition Postulate
Term
The bisector of a segment___
Definition
is a line, segment, ray, or plane that intersects the segments t its midpoint
Term
Acute Angle
Definition
measures between 0 and 90 degrees
Term
Right Angle
Definition
measures exactly 90 degrees
Term
obtuse angle
Definition
measures between 90 and 180
Term
straight angle
Definition
180 degrees
Term
m
Definition
angle addition postulate
Term
adjacent angles
Definition
2 angles in a plane that have a common vertex and a common side but no common interior points
Term
A line contains at least __ points, a plane contains at least __ points not all in one line; space contains at least 4 points not all in one ___
Definition
2,3, line
(postulate 5 p23)
Term
thought any 2 points there is exactly one __
Definition
line
(posulte 6 p23)
Term
through any 3 points there is at least one __ and through any 3 noncollinear points there is exactly one __
Definition
plane,plane (pos. 7 p23)
Term
If two __ are in a line then the line that contains the points is in that plane
Definition
points
(pos. 8 p 23)
Term
If 2 planes intersect, their intersection is a___
Definition
line
(pos 9 p23)
Term
If two lines intersect, then they intersect in exactly one __
Definition
point
theorem 1-1 p 23
Term
Which part of this statement is the hypothesis: If i am a Yankees fan, then i know what is best :)
Definition
the first part, IF i am a yankees fan
Term
Which part of this statement is the conclusion:
If i live in Texas, then i live in the USA
Definition
the second part starting with THEN, i live in the usa (where the partys at!)
Term
a biconditional contains the phrase
Definition
"If, and only If"
Term
Addition property
Definition
if, a=b, and c=d, then a+c=b+d
Term
subtraction property
Definition
if a=b and c=d, then a-c=b-d
Term
multiplication property
Definition
if a=b, then ca=cb
Term
substitution property
Definition
if a=b then i can substitute a for b or b for a
Term
reflexive property
Definition
a=a
Term
symmetric property
Definition
if a=b then b=a (i doubt we will have to know this but u never know!)
Term
Transitive Property
Definition
if a=b and b=c than a=c
Term
distributive property
Definition
a(b+c)= ab +ac
Term
Mid point theorem
Definition
If m id the midpoint of segment AB then AM=1/2 AB and MB=1/2AB
Term
Angle bisector theorem
Definition
if rayBX is the bisector of
Term
complementary angles
Definition
angles the add up to 90
Term
Supplementary angles
Definition
angles tht add up to 180
Term
perpendicular lines
Definition
2 lines that intersect to form 90 angles
Term
x + y= 4x
x-y=2x
is an example of wht?
Definition
system of equations
Term
paralell planes
Definition
do not intersect
Term
skew lines
Definition
are noncoplannar lines therfor they are neither paralell or intersecting
Term
if 2 parallel lines are cut by a ___, the corresponding angles are ____
Definition
transversal, congruent
p 79 postulate 10
Term
if 2 parallel lines are cut by a transversal then the _____ angles are congruent
Definition
alternate interior
Theorem 3-2 p78
Term
If 2 parallel lines are cut by a transversal, then the same side interior angles are supplementary
Definition
theorem 3-3 p 79
Term
If a transversal is perpendicular to one of 2 paralell lines, then it is perpendicular to the other one also.
Definition
theorem 3-4 p 79
Term
If two lines are cut by a transversal then corresponding angles are___
Definition
congruent
theorem 3-5 p83
Term
a scalene triangle
Definition
has no congruant side
Term
an isoceles triangle
Definition
has at least 2 sides congruent
Term
Equilateral Triangle
Definition
all sides equal
Term
acute triangle
Definition
has 3 acute triangles
Term
obtuse triangle
Definition
has at least 1 obtuse angle
Term
corollary
Definition
a statement that can be proved easily by applying a theorem
Term
the measure of an exterior angle of a triangle equals the measures of the 2 remote interior anles.
Definition
theorem 3-12 p 95
Term
convex polygon
Definition
a polygon such that no line containing a side of the polygon,
Term
the sum of the measures of of the angles of a convex polygons with n sides is
Definition
(n-2)180
theorem 3-13 p 102
Term
the sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360
Definition
theorem 3-14
p102
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