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Vocab
1st Semester
69
Mathematics
9th Grade
12/17/2012

Additional Mathematics Flashcards

 


 

Cards

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
Adjacent Angle
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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