# Shared Flashcard Set

## Details

Vocab
1st Semester
69
Mathematics
12/17/2012

Term
 Line Segment
Definition
 A segment that can be measured because it has two endpoints.
Term
 Congruent
Definition
 Having the same measure
Term
 Congruent Segment
Definition
 Segments that have the same measure
Term
 Distance(Between 2 Points)
Definition
 The length of the segment with those points as its endpoints.
Term
 Midpoint
Definition
 The point halfway between the endpoints of a segment.
Term
 Bisector
Definition
 The point of intersection of two lines crossing at the midpoint.
Term
 Segment Bisector
Definition
 Any segment,line, or plane that intersects a segment at its midpoint.
Term
 Ray
Definition
 A part of a line with one endpoint.
Term
 Angle
Definition
 Two non collinear rays that have a common endpoint.
Term
 Vertex
Definition
 A common endpoint.
Term
 Degrees
Definition
 The units angles are measured in.
Term
 Angle Bisector
Definition
 A ray that divides an angle into two congruent sides.
Term
 Acute Angle
Definition
 An angle below 90 degrees.
Term
 Obtuse Angle
Definition
 An angle that is above 90 degrees.
Term
 Right Angle
Definition
 An angle that is 90 degrees.
Term
 Straight Angle
Definition
 A 180 degree angle.
Term
Definition
 Two angles that lie in the same plane and have a common vertex and a common side, but no common interior.
Term
 Vertical Angle
Definition
 Two nonadjacent angles formed by two intersecting lines.
Term
 Complimentary Angles
Definition
 Two angles with measures that have the sum of 90 degrees.
Term
 Supplementary Angles
Definition
 Two angles with measures that have a sum of 180 degrees.
Term
 Linear Pair
Definition
 A pair of adjacent angles with noncommon sides that are opposite rays.
Term
 Perpendicular Lines
Definition
 Lines,segments,or rays that form right angles.
Term
 Line
Definition
 Made up of points and has no thickness or width.
Term
 Point
Definition
 A location.
Term
 Plane
Definition
 A flat surface made up of points that extend indefinitely in all directions.
Term
 Collinear
Definition
 Points that lie on the same line.
Term
 Coplanar
Definition
 Points that lie in the same plane.
Term
 Inductive Reasoning
Definition
 Reasoning that uses a number of specific examples to arrive at a conclusion.
Term
 Conjecture
Definition
 A concluding statement reached using inductive reasoning.
Term
 Counterexample
Definition
 One false example to show that a conjecture is not true.
Term
 Statement
Definition
 A sentence that is true or false.
Term
 Negation
Definition
 Has the opposite meaning as well as an opposite truth.
Term
 Hypothesis
Definition
 The phrase immediately following the word if of a conditional statement.
Term
 Conclusion
Definition
 The phrase immediately following the word then of a conditional statement.
Term
 Conditional Statement
Definition
 A statement that can be in if-then form.
Term
 Biconditional Statement
Definition
 The conjuction of a conditional statement and its converse.
Term
 Converse
Definition
 By exchanging the hypothesis and conclusion of the conditional.
Term
 Inverse
Definition
 By negating both the hypothesis and conclusion of the conditional.
Term
 Contrapositve
Definition
 By negating both the hypothesis and the conclusion of the converse of the conditional.
Term
 Law of Detachment
Definition
 If p->q is a true statement and p is true, then q is true.
Term
 Law of Syllogism
Definition
 If p->q and q->r are true. Statements, then p->r is a true statement.
Term
 Deductive Reasoning
Definition
 Uses facts,rules, and definitions, or properties to reach logical conclusions from given statements.
Term
 Postulate
Definition
 A statement that is accepted as true without proof.
Term
 Parallel Lines
Definition
 Coplanar lines that do not intersect.
Term
 Skew Lines
Definition
 Lines that do not intersect and are not coplanar
Term
 Transversal
Definition
 A line that intersects two or more coplanar lines at two different points.
Term
 Alt. Interior Angles
Definition
 A nonadjacent interior angles that lie on opposite sides of a transversal.
Term
 Alt. Exterior Angles
Definition
 A nonadjacent exterior angles that lie on opposite sides of a tranversal.
Term
 Corresponding Angles
Definition
 Lie on the same side of transversal and on the same side of lines q and r.
Term
 Consecutive Int. Angles
Definition
 Are interior angles that lie on the same side of a transversal.
Term
 Consecutive Ext. Angles
Definition
 Exterior angles that lie on the same of a transversal.
Term
 Triangle
Definition
 A three sided polygon.
Term
 Obtuse Triangle
Definition
 1 obtuse angle.
Term
 Acute Triangle
Definition
 3 acute angles.
Term
 Right Triangle
Definition
 1 right angle.
Term
 Equiangular Triangle
Definition
 3 congruent acute sides.
Term
 Equilateral Triangle
Definition
 3 congruent sides.
Term
 Scalene Triangle
Definition
 No congruent sides.
Term
 Isosceles Triangle
Definition
 At least 2 congruent sides.
Term
 Hypotenuse
Definition
 The side opposite to the right angle of a triangle.
Term
 Perpendicular Bisector
Definition
 When a bisector is perpendicular to the segment.
Term
 Concurrent Lines
Definition
 When three or more lines intersect at a common point.
Term
 Point of Concurrency
Definition
 The point where concurrent lines intersect.
Term
 Circumcenter
Definition
 The point of concurrency of the perpendicular bisector.
Term
 Incenter
Definition
 The angle bisectors' of a triangle are concurrent, and their point of concurrency.
Term
 Median
Definition
 A segment with endpoints being a vertex of a triangle and the midpoint of the the other side.
Term
 Centroid
Definition
 The point of concurrency of the medians of a triangle.
Term
 Altitude
Definition
 A segment from a vertex to the line containing the opposite side and perpendicular
Term
 Orthocenter
Definition
 The lines containing the altitudes of a triangle are concurrent, intersecting at the the orthocenter.
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