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Geometry
All Vocab
66
Mathematics
11th Grade
12/11/2011

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Term
Point
Definition
a location in space with no size , 0 detentions
Term
Line
Definition
infinite number of points in a strait pathway
Term
Plane
Definition
infinite number of points or lines on a flat surface, 2 dimensions, cant be in a line
Term
Space
Definition
the collection of all points, 3 dimensions, one must be off the plane
Term
Collinear
Definition
points on the same line
Term
Non-Colinear
Definition
points not on the same line
Term
Non-Co-planer
Definition
points and/or lines on the same plane
Term
Intersection
Definition
where things meetor what they have in common
Term
Postulate
Definition
a statement we accept as true without proving it
Term
Distance
Definition
absolute value of the difference between two points
Term
Segment
Definition
a beginning point, an end point, and all points in between
Term
Ray
Definition
and end point and all points in a strait path in one direction
Term
Angle
Definition
two rays with a common end point
Term
Vertex
Definition
the common end point of two rays
Term
Protractor
Definition
a device used to measure angles
Term
Degree
Definition
unit of measure for angles
Term
Acute angle
Definition
angle between 0 and 90 degrees
Term
Right angle
Definition
equals 90 degrees
Term
Obtuse angle
Definition
between 90 and 180 degrees
Term
Strait angle
Definition
equals 180 degrees
Term
Congruence
Definition
same size and shape without rearranging
Term
Midpoint
Definition
average of end points, divides segment into 2 equal pieces
Term
Bisector of a segment
Definition
touches the midpoint
Term
Equilateral
Definition
3 equal sides
Term
Isosceles
Definition
2 equal sides
Term
Scalene
Definition
no equal sides
Term
Equilangular
Definition
3 equal sides
Term
Negate
Definition
puts "not" into a sentence
Term
Conditional
Definition
an if-then statement
Term
Biconditional
Definition
drop "if and then" and put "if and only if in the middle
Term
Converse
Definition
switch the if and then statements
Term
Inverse
Definition
put "not" into both "if and then" statements
Term
Contrapositive
Definition
switch "if and than" and put "not" in both
Term
Hypothesis
Definition
"if" part of a statement
Term
Conclusion
Definition
"then" part of a statement
Term
Counter Example
Definition
one example that shows a statement is false
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 and C=A, then AC = BD
Term
Division Property
Definition
if A=B and C≠0, then A÷C = B÷C
Term
Substitution Property
Definition
if A=B, then A and B may be substituted for each other in any inequality
Term
Reflexive Property
Definition
A=A
Term
Symmetric Property
Definition
if A=B than B=A
Term
Transitive Property
Definition
if A=B and B=C, then A=C
Term
Associative Property
Definition
A+(B+C)=(A+B)+C, A(BC)=(AC)C
Term
Commutative Law
Definition
A+B = B+A, AB = BA
Term
Distributive Law
Definition
A(B+A)=AB + AC
Term
Adjacent Angle
Definition
• must be coplanar
• share a vertex
• share a side
• don't share any interior
Term
Linear Pair
Definition
• 2 adjacent angles
• Non-shared sides are opposite rays
Term
Perpendicular
Definition
2 lines that intersect to make a right angle
Term
Complementary angles
Definition
2 angles that add to 90
Term
Supplementary angles
Definition
2 angles that add to 180
Term
Vertical angles
Definition
2 angles formed by crossing lines, equal to each other
Term
Parallel
Definition
on the same plane, 2 lines that never meet
Term
Skew
Definition
non-coplanar lines, not on the same plane, that never intersect
Term
Transversal
Definition
a line that intersects two or more lines not at the same point
Term
Alternate
Definition
opposite sides of the Transversal
Term
Alternate Interior
Definition
• coplanar
• not Linear Pair
• opposite sides of transversal
• between lines
Term
Alternate Exterior
Definition
• coplanar
• not Linear Pair
• opposite sides of transversal
outside lines
Term
Corrisponding Angles
Definition
• coplanar
• not Linear Pair
• same side as transversal
• make a Linear Pair
one inside, one outside lines
Term
Remote Angles
Definition
2 angles not making Linear Pair
Term
Interior same side
Definition
• Inside lines
• Same side as transversal
• make Linear Pair
coplanar
Term
Exterior Angles
Definition
makes Linear Pair with an angle of the triangle
Term
Polygon
Definition
• 3 or more coplanar segments
• endpoint shared by exactly 2 segments
• segments only intersect at endpoint
• no segments are Collinear
Term
Regular
Definition
equal sides and angles
Term
Concave
Definition
pick 2 points and connect, the segment can go outside of the polygon
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