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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