Unit 1-3
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Created by:
tennisluver on October 8, 2011
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73 terms
Terms | 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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