Unit 1-3

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tennisluver  on October 8, 2011

Subjects:

geometry

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Unit 1-3

Node
A point of land mass in graph theory
1/73
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Definitions

Node A point of land mass in graph theory
Even Node A node with an even number of arcs attached
Odd Node a node with an odd number of arcs attached
Traversable Network a network in which all the arcs may be traced exactly once without picking up the tracing instrument ( if you can go through)
Coplanar Lying on the same plane
Parallel Lines Two coplanar lines that have no points in common or are identical
Collinear Lying on the same line
Line Segment A segment with two endpoints
Ray Consists of one endpoint and one point and all the points in between
Opposite Rays Rays going in the opposite direction. Where AB And AC have A in between
Between a point or number in between two other points on the same line if its coordinate is between their coordinates
Vertex A place where two line segments meet ( a point)
Convex Polygon A polygon that is convex, meaning that all segments contain no dents and if you took a straight edge against the segments, they would line up
Compound Statement A sentence that combines two or more statements with some type of connective such as and or if then etc
Conditional Statement A compound Statement in the form of If....Then
Arc The lines or Curved lines attached to the nodes
Atecedent( Hypothesis) the "If" clause of a conditional that is also called hypothesis
Consequent( Conclusion) the " then" clause of the conditional statement which is also called the conclusion
Instance of a Conditional a specific case of when the antecedent and consequent are true
Counterexample to a Conditional a specific case for which the antecedent is true but the consequent is false
Converse A conditional statement formed by switching the antecedent and consequent of a given conditional
Biconditional a statement that includes a conditional and its converse. Also called a if and only if statement
Venn Diagram A diagram used to show relationships among sets
Midpoint A point in the middle of a segment or equally distant on both sides from two points
Circle a set of points in a plane at a certain distance from a center point
Radius A segment connecting a center point of a circle to a point
Diameter a segment connecting two points on a circle that passes through the center point
Union of Two Sets the set of elements of both sets combined
Intersection of Two Sets the set of elements that two sets have in common
Null Set an empty set
Angle The union of two rays that have the same endpoint
Polygon A closed figure that has three or more straight edges
Consecutive( Adjacent)Vertices Endpoints of a side.
Consecutive( adjacent) sides two sides with an endpoint in common
Diagonal A segment connecting nonconsecutive( not adjacent) vertices of a polygon
Triangle A polygon with three sides
Quadrilateral A polygon with four sides
Pentagon A polygon with five sides
Hexagon A polygon with six sides
Heptagon A polygon with seven sides
Octagon A polygon with eight sides
Nonagon A polygon with 9 sides
Decagon A polygon with 10 sides
Dodecagon A polygon with 12 sides
Equilateral Triangle A triangle with all 3 sides the same length
Isosceles Triangle A triangle with at least 2 sides equal in length
Scalene Triangle A triangle with no sides having the same length
Arc Set of points made up by 2 points on a circle
Semicircle Arc whose degree measure is 180 degrees
Minor Arc Arc with measure less than 180 degrees
Major Arc Arc with measure more than 180 degrees
Central Angle When the vertex of an angle is at the center of a circle
Zero Angle Angle whose measure is 0 degrees
Acute Angle Angle whose measure is greater than 0 degrees but less than 90 degrees
Right Angle Angle whose measure is 90 degrees
Obtuse Angle Angle whose measure is between 90-180 degrees
Straight Angle Angle with a measure of 180 degrees
Interior of an Angle A nonzero angle seperates the plane into two sets of points and it that plane it not straight, then the convex set is the interior of the angle
Exterior of an Angle a nonzero angle seperates the plane into two sets of points and if the angle is not straight the nonconvex set is the exterior of the angle
Adjacent Angles Two nonstraight and non zero angles with a common side interior to the angle formed by the non common sides
Angle Bisector the ray in the interior of an angle that divides the angle into two angles of equal measure
Complementary Angles Two angles whose measure sums up to 90 degrees
Supplementary Angles Two angles whose measure sums up to 180 degrees
Linear Pair Two adjacent angles whose non common sides are opposite rays, Supplementary ( pairs make up a line)
Vertical Angles Two nonstraight angles whose union of there sides is 2 lines and the measure of the two angles will be equal
Transversal A line that intersects two or more lines
Corresponding Angles A pair of angles in similiar location in respect to its transversal and each line
Alternate Interior Angles Angle that are on opposite sides of a transversal on the interior of the lines that the transversal intersects
Same Side Interior Angles Angles on the same side of a transversal which are interior and have different vertices
Perpendicular Two segments, rays or lines such that the lines containing them form a 90 degree angle
Equidistant At the same distance
Bisector of a Segment A line, ray or segment that intersects a segment at its midpoint but does not contain the segment
Perpendicular Bisector the line that bisects and is perpendicular to the segment

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