# Shared Flashcard Set

## Details

Geometry
All Vocab
66
Mathematics
12/11/2011

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
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
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 transversaloutside lines
Term
 Corrisponding Angles
Definition
 • coplanar• not Linear Pair• same side as transversal• make a Linear Pairone 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 Paircoplanar
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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