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115 Cards in this Set
- Front
- Back
- 3rd side (hint)
Conditional Statement
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A statement written in if-then format
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"____ blah___ yada"
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Hypothesis
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the "if" part of a conditional statement
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blah
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Conclusion
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the "then" part of a conditional statement
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yada
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Converse
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The if and then parts of a conditional statement are reversed
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"If____ then _____"
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Inverse
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The negation of the hypothesis and clonclusion of a conditional (original) statement.
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"If not____ then _____ yada"
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Contrapositive
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The negation of the hypothesis and conclusion of a converse statement
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"If not ____ then not____"
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Counterexample
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An example that proves a statement false.
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None
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Point
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Basic unit of Geometry; Has no size; Represented by a dot; Labeled by a capital letter.
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.
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Line
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A straight srrangement of points; Infinite number of points; Infinite length; No thickness
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<-------------->
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Plane
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Has length, width, but no thickness; extends forever
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_________
/ / /________/ |
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Space
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The set of all points
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_________
/ . / /_.______/ |
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Congruent
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Two figures that have the exact same size and shape
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None
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Midpoint
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Apoint that lies on the segment and is equal distance from each endpoint.
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0------0------0
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Ray
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A part of a line consisting of one point an all points on one side of the line from that point.
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0------->
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Segment
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Part of a line that has two endpoints and contains all of the points in between the two endpoints.
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0------0
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Conditional Statement
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A statement written in if-then format
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"____ blah___ yada"
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Hypothesis
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the "if" part of a conditional statement
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blah
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Conclusion
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the "then" part of a conditional statement
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yada
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Converse
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The if and then parts of a conditional statement are reversed
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"If____ then _____"
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Inverse
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The negation of the hypothesis and clonclusion of a conditional (original) statement.
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"If not____ then _____ yada"
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Contrapositive
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The negation of the hypothesis and conclusion of a converse statement
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"If not ____ then not____"
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Counterexample
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An example that proves a statement false.
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None
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Point
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Basic unit of Geometry; Has no size; Represented by a dot; Labeled by a capital letter.
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.
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Line
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A straight srrangement of points; Infinite number of points; Infinite length; No thickness
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<-------------->
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Plane
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Has length, width, but no thickness; extends forever
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_________
/ / /________/ |
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Space
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The set of all points
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_________
/ . / /_.______/ |
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Congruent
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Two figures that have the exact same size and shape
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None
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Midpoint
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Apoint that lies on the segment and is equal distance from each endpoint.
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0------0------0
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Ray
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A part of a line consisting of one point an all points on one side of the line from that point.
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0------->
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Segment
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Part of a line that has two endpoints and contains all of the points in between the two endpoints.
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0------0
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Collinear
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POints that lie on the same plane.
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Coplanar
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points that lie in the same plane
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Axiom
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a statement that is accepted without proof.
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Postulate
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same as an axiom
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Theorem
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a statement that can be proven
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Conjecture
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a generalization made through inductive reasoning.
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Angle
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two rays that share a common endpoint, provided the two rays do not lie on the same line
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Degree
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unit of measurement for an angle
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Protractor
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tool used to measure angles
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Vertex
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the common endpoint of the two rays that form an angle.
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Sides of an ANgle
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the two rays that form an angle.
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Acute
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an angle that measures less than 90 degrees, but more than 0 degrees
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Obtuse
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and angle that measure more than 90 degrees, but less thatn 180 degrees.
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Right
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and angle that measure exactly 90
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Supplementary
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two angles whose sum is 180 degrees
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Complementary
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two angles whose sum is 90 degrees
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System of Equations
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Two or more equations that state relationships between the same variables
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Vertical Angles
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If line AB and CD intersect at point, P, then APC and BPD are vertical angles.
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Angle Bisector
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A ray that has an endpoint on the vertex of an angle, and that divides the angle into two congruent angles.
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Parallel Lines
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Two or more coplanar lines that do not intersect.
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Skew Lines
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Two non-coplanar lines that do not intersect.
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Perpendicular Lines
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Two lines that intersect to form a right angle.
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Adjascent Angles
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two angles that share a common vertex, a common side but no common interior points.
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Trasversal
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a line that intersects two coplanar lines in two different points.
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Alternate Interior Angles
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opposite sides of the transversal they are interior and not adjascent.
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Corresponding Angles
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same relative position different vertex
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Consecutive Interior Angles
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non-adjascent/in the interior of the parallel lines/same side as the transversal
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Domain
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the input values of a function
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Set of all possiblke x-values (independent variable)
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Range
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the output values of a function
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Set of all y-values you get when you plug in the domain (dependent variable)
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Rate of Change
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the difference of the y-values divided by the difference of the x-values
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y2-y1 divided by x2-x1
Rise over run |
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Complementary
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two angles whose sum is 90 degrees
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System of Equations
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Two or more equations that state relationships between the same variables
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Vertical Angles
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If line AB and CD intersect at point, P, then APC and BPD are vertical angles.
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Angle Bisector
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A ray that has an endpoint on the vertex of an angle, and that divides the angle into two congruent angles.
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Parallel Lines
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Two or more coplanar lines that do not intersect.
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Skew Lines
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Two non-coplanar lines that do not intersect.
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Perpendicular Lines
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Two lines that intersect to form a right angle.
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Adjascent Angles
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two angles that share a common vertex, a common side but no common interior points.
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Trasversal
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a line that intersects two coplanar lines in two different points.
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Alternate Interior Angles
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opposite sides of the transversal they are interior and not adjascent.
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Corresponding Angles
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same relative position different vertex
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Consecutive Interior Angles
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non-adjascent/in the interior of the parallel lines/same side as the transversal
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Domain
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the input values of a function
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Set of all possiblke x-values (independent variable)
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Range
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the output values of a function
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Set of all y-values you get when you plug in the domain (dependent variable)
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Rate of Change
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the difference of the y-values divided by the difference of the x-values
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y2-y1 divided by x2-x1
Rise over run |
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Midpoint
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average point
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(x1+x2 /2,y1+y2 /2)
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Polygon
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a closed geometric figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others
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Side
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a line segment of a polygon
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Vertex (sin.)
Vertices (plu.) |
an endpoint where the sides of a polygon meet
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Convex Polygon
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a polygon where no segment connecting two vertices is outside the polygon
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Concave Polygon
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a polygon in which at leasy one sement connecting two vertices is outside the polygon
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Classifying Polygons
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polygons are classified according to the njmber of sides they have
# sides = # vertices = # interior angles |
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Triangle
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a three-sided polygon
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Quadrilateral
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a four-sided polygon
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Pentagon
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a five-sided polygon
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Hexagon
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a six-sided polygon
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Heptagon
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a seven-sided polygon
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Octagon
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an eight-sided polygon
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Nonagon
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a nine-sided polygon
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Decagon
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a ten-sided polygon
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Undecagon
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and eleven-sided polygon
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Dodecagon
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a twelve-sided polygon
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N-gon
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A polygon with n number of sides
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Consecutive
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Where numbers, letters or figures are next to or touching each other
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Labeling (Naming) polygons
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Polygons are labeled (named) byt listing the capital letters of the vertices in consecutive order
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Consecutive vertices
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two vertices of a polygon connected by a side
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Consecutive sides
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two sides which share a commone vertex
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Consecutive Anglesq
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two angles which share a common side
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Congruent polygons
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two or more polygons are congruent if and only if they have the same size and shape. The correspoding angles and sides are congruent.
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Perimeter
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The sum of the lengths of the sides of a polygon
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Diagonal of a Polygon
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A segment is a diagonal if and only if it connects any two non-consecutive vertices
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Equilateral Polygon
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A polygon is equilateral if and only if all of it's sides are congruent
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Equiangular Polygon
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A polygon is equilangular if and only if all of it's sides are congruent
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Regular Polygon
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a polygon is regulr if and only if it is both equilateral and equiangular
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Midsegment of a Triangle
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a polygon is regular if and only if it is both equilateral and equiangular
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Right Triangle
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a triangle is right if and only if it has on right angle
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Acute Triangle
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a triangle is acute if and only if all of its angles are acute
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Obtuse Triangle
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a triangle is obtuse if and only if it has one obtuse angle
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Scalene Triangle
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a triangle is scalene if and only if none of its sides are congruent
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Isosceles Triangle
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a triangle is isosceles if and only if at least two of its sides are congruent
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Vertex Angle
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an angle is a vertex angle of an isosceles triangle if and only if it is between the two congruent sides
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Base
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a segment is a base an isosceles trianle if and only if it is opposite the vertex angle
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Base Angles
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two angles are base angles of an isosceles triangle if and only if they are opposite the two congruent sides
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Medians of a Triangle
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a segment is a median if and only if it connects a vertex to the midpoint of the opposite side
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Height
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The length of the altitude
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