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115 Cards in this Set

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Conditional Statement
A statement written in if-then format
"____ blah___ yada"
Hypothesis
the "if" part of a conditional statement
blah
Conclusion
the "then" part of a conditional statement
yada
Converse
The if and then parts of a conditional statement are reversed
"If____ then _____"
Inverse
The negation of the hypothesis and clonclusion of a conditional (original) statement.
"If not____ then _____ yada"
Contrapositive
The negation of the hypothesis and conclusion of a converse statement
"If not ____ then not____"
Counterexample
An example that proves a statement false.
None
Point
Basic unit of Geometry; Has no size; Represented by a dot; Labeled by a capital letter.
.
Line
A straight srrangement of points; Infinite number of points; Infinite length; No thickness
<-------------->
Plane
Has length, width, but no thickness; extends forever
_________
/ /
/________/
Space
The set of all points
_________
/ . /
/_.______/
Congruent
Two figures that have the exact same size and shape
None
Midpoint
Apoint that lies on the segment and is equal distance from each endpoint.
0------0------0
Ray
A part of a line consisting of one point an all points on one side of the line from that point.
0------->
Segment
Part of a line that has two endpoints and contains all of the points in between the two endpoints.
0------0
Conditional Statement
A statement written in if-then format
"____ blah___ yada"
Hypothesis
the "if" part of a conditional statement
blah
Conclusion
the "then" part of a conditional statement
yada
Converse
The if and then parts of a conditional statement are reversed
"If____ then _____"
Inverse
The negation of the hypothesis and clonclusion of a conditional (original) statement.
"If not____ then _____ yada"
Contrapositive
The negation of the hypothesis and conclusion of a converse statement
"If not ____ then not____"
Counterexample
An example that proves a statement false.
None
Point
Basic unit of Geometry; Has no size; Represented by a dot; Labeled by a capital letter.
.
Line
A straight srrangement of points; Infinite number of points; Infinite length; No thickness
<-------------->
Plane
Has length, width, but no thickness; extends forever
_________
/ /
/________/
Space
The set of all points
_________
/ . /
/_.______/
Congruent
Two figures that have the exact same size and shape
None
Midpoint
Apoint that lies on the segment and is equal distance from each endpoint.
0------0------0
Ray
A part of a line consisting of one point an all points on one side of the line from that point.
0------->
Segment
Part of a line that has two endpoints and contains all of the points in between the two endpoints.
0------0
Collinear
POints that lie on the same plane.
Coplanar
points that lie in the same plane
Axiom
a statement that is accepted without proof.
Postulate
same as an axiom
Theorem
a statement that can be proven
Conjecture
a generalization made through inductive reasoning.
Angle
two rays that share a common endpoint, provided the two rays do not lie on the same line
Degree
unit of measurement for an angle
Protractor
tool used to measure angles
Vertex
the common endpoint of the two rays that form an angle.
Sides of an ANgle
the two rays that form an angle.
Acute
an angle that measures less than 90 degrees, but more than 0 degrees
Obtuse
and angle that measure more than 90 degrees, but less thatn 180 degrees.
Right
and angle that measure exactly 90
Supplementary
two angles whose sum is 180 degrees
Complementary
two angles whose sum is 90 degrees
System of Equations
Two or more equations that state relationships between the same variables
Vertical Angles
If line AB and CD intersect at point, P, then APC and BPD are vertical angles.
Angle Bisector
A ray that has an endpoint on the vertex of an angle, and that divides the angle into two congruent angles.
Parallel Lines
Two or more coplanar lines that do not intersect.
Skew Lines
Two non-coplanar lines that do not intersect.
Perpendicular Lines
Two lines that intersect to form a right angle.
Adjascent Angles
two angles that share a common vertex, a common side but no common interior points.
Trasversal
a line that intersects two coplanar lines in two different points.
Alternate Interior Angles
opposite sides of the transversal they are interior and not adjascent.
Corresponding Angles
same relative position different vertex
Consecutive Interior Angles
non-adjascent/in the interior of the parallel lines/same side as the transversal
Domain
the input values of a function
Set of all possiblke x-values (independent variable)
Range
the output values of a function
Set of all y-values you get when you plug in the domain (dependent variable)
Rate of Change
the difference of the y-values divided by the difference of the x-values
y2-y1 divided by x2-x1

Rise over run
Complementary
two angles whose sum is 90 degrees
System of Equations
Two or more equations that state relationships between the same variables
Vertical Angles
If line AB and CD intersect at point, P, then APC and BPD are vertical angles.
Angle Bisector
A ray that has an endpoint on the vertex of an angle, and that divides the angle into two congruent angles.
Parallel Lines
Two or more coplanar lines that do not intersect.
Skew Lines
Two non-coplanar lines that do not intersect.
Perpendicular Lines
Two lines that intersect to form a right angle.
Adjascent Angles
two angles that share a common vertex, a common side but no common interior points.
Trasversal
a line that intersects two coplanar lines in two different points.
Alternate Interior Angles
opposite sides of the transversal they are interior and not adjascent.
Corresponding Angles
same relative position different vertex
Consecutive Interior Angles
non-adjascent/in the interior of the parallel lines/same side as the transversal
Domain
the input values of a function
Set of all possiblke x-values (independent variable)
Range
the output values of a function
Set of all y-values you get when you plug in the domain (dependent variable)
Rate of Change
the difference of the y-values divided by the difference of the x-values
y2-y1 divided by x2-x1

Rise over run
Midpoint
average point
(x1+x2 /2,y1+y2 /2)
Polygon
a closed geometric figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others
Side
a line segment of a polygon
Vertex (sin.)
Vertices (plu.)
an endpoint where the sides of a polygon meet
Convex Polygon
a polygon where no segment connecting two vertices is outside the polygon
Concave Polygon
a polygon in which at leasy one sement connecting two vertices is outside the polygon
Classifying Polygons
polygons are classified according to the njmber of sides they have
# sides = # vertices = # interior angles
Triangle
a three-sided polygon
Quadrilateral
a four-sided polygon
Pentagon
a five-sided polygon
Hexagon
a six-sided polygon
Heptagon
a seven-sided polygon
Octagon
an eight-sided polygon
Nonagon
a nine-sided polygon
Decagon
a ten-sided polygon
Undecagon
and eleven-sided polygon
Dodecagon
a twelve-sided polygon
N-gon
A polygon with n number of sides
Consecutive
Where numbers, letters or figures are next to or touching each other
Labeling (Naming) polygons
Polygons are labeled (named) byt listing the capital letters of the vertices in consecutive order
Consecutive vertices
two vertices of a polygon connected by a side
Consecutive sides
two sides which share a commone vertex
Consecutive Anglesq
two angles which share a common side
Congruent polygons
two or more polygons are congruent if and only if they have the same size and shape. The correspoding angles and sides are congruent.
Perimeter
The sum of the lengths of the sides of a polygon
Diagonal of a Polygon
A segment is a diagonal if and only if it connects any two non-consecutive vertices
Equilateral Polygon
A polygon is equilateral if and only if all of it's sides are congruent
Equiangular Polygon
A polygon is equilangular if and only if all of it's sides are congruent
Regular Polygon
a polygon is regulr if and only if it is both equilateral and equiangular
Midsegment of a Triangle
a polygon is regular if and only if it is both equilateral and equiangular
Right Triangle
a triangle is right if and only if it has on right angle
Acute Triangle
a triangle is acute if and only if all of its angles are acute
Obtuse Triangle
a triangle is obtuse if and only if it has one obtuse angle
Scalene Triangle
a triangle is scalene if and only if none of its sides are congruent
Isosceles Triangle
a triangle is isosceles if and only if at least two of its sides are congruent
Vertex Angle
an angle is a vertex angle of an isosceles triangle if and only if it is between the two congruent sides
Base
a segment is a base an isosceles trianle if and only if it is opposite the vertex angle
Base Angles
two angles are base angles of an isosceles triangle if and only if they are opposite the two congruent sides
Medians of a Triangle
a segment is a median if and only if it connects a vertex to the midpoint of the opposite side
Height
The length of the altitude