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Biconditional
p if and only if q," single statement that is equivalent to writing the conditional statement and its converse

Conclusion
The part of the conditional statement that follows the word "then." (Notation is q)

Conditional Statement
Has the form "If p, then q." p is the hypothesis and q is the conclusion

Conjecture
A conclusion reached by inductive reasoning

Contrapositive
Formed by interchanging and negating the hypothesis and conclusion "If not q, then not p"

Converse
Formed by interchanging the hypothesis and conclusion "If q, then p"

Counterexample
An example of a conditional statement in which the hypothesis is fulfilled and the conclusion is not fulfilled. Proves that the statement is false

Deductive Reasoning
Using the laws of logic to prove statements (theorems) from known statements (postulates and previously proved theorems)

Equivalent Statements
Having the same truth value

Hypothesis
In a conditional statement, it comes after "if"...the p in "if p, then q."

Inductive Reasoning
Making a conjecture about several examples after looking for a pattern in the examples

Intuitive Reasoning
Using your feelings

Inverse
Negating the hypothesis and conclusion "If not p, then not q"

Law of Detachment
If "If p, then q" is a true conditional statement and p is true, then q is true

Law of Syllogism
If "If p, then q" and "If q, then r" are true conditional statements, then "If p, then r" is also true

Negation
The denial of a statement "Not p"

Truth Value
naming a statement true or false

Transformation
Movement of a preimage using reflection translation rotation or dilation

Reflection
Isometric flip motion

Rotation
Isometric turn motion

Translation
Isometric slide motion

Dilation
A similarity transformation that has a center and scale factor, can be an enlargement or a reduction

Preimage
Original object before a transformation

Image
The object after a transformation

Congruent
Same size and shape

Isometry
Congruent transformation

Angle of Rotation
The angle at which a figure is rotated

Center of Dilation
Point about which a dilation is performed

Center of Rotation
Fixed point around which a rotation occurs

Equidistant
Same or equal distance

Line of Reflection
For every point on a figure, there is a reflection image of that point over this line

Prime Notation
Symbolic representation given to images as a result of a transformation

Similarity Transformation
Dilation

Symmetry
A figure has this if there is an isometry that maps the figure onto itself

Corresponding
Matching parts of two or more figures


Mapping
A onetoone correspondence between points of two figures

Scale Factor
The number that describes the size change from an original figure to its


Composition of Motions
Two or more motions done in sequence

Matrix
A collection of data using rows and columns

Dimensions of Matrix
Row by Column

Identity Matrix
Matrix when used results in the original matrix e11 = 1 e12 = 0 e21 =0 e22 = 1

Acute Angle
An angle x whose measure is 0 < x< 90

Adjacent Angles
A pair of angles that: 1)Share a common vertex

Analytic Geometry
Coordinate based geometry


Angle Bisector
A ray, line, or plane that divides an angle into two congruent angles

Bisect
Divided into two equal or congruent parts

Collinear
On the same line

Complementary Angles
A pair of angles whose sum is 90 degrees

Congruent Angles
Angles that have the same measure

Congruent Segments
Segments that have the same length

Coplanar
On the same plane

Degree
Unit of measure for an angle (1/360th of a full rotation)

Dihedral Angle
Angle formed by the intersection of two planes

Endpoint
Point at the beginning or end of a ray or segment

Euclidean Geometry
Noncoordinate geometry

Exterior Point
A point not in the interior or on


Geometry (overall)
The mathematics of the properties measurement and relationships of points lines angles surfaces and solids

Infinite
Having no limits or boundaries in time or space or extent or magnitude

Interior Point
A point not in the exterior or on

Intersection
Set of points shared by two or more figures

Line
Infinite set of collinear points

Linear Pair
A pair of adjacent angles whose nonadjacent sides form opposite rays

Midpoint
A point that divides a segment into two congruent segments

Noncollinear
Not on the same line

Obtuse Angle
An angle q whose measure is 90 < q < 180

Opposite Rays
Two rays that share a common endpoint and extend in opposite directions

Parallel Lines
Coplanar lines that never intersect

Parallel Planes
Two or more planes that never intersect

Perpendicular Bisector
A segment bisector that intersects the midpoint at right angle

Perpendicular Lines
Two lines that intersect to form one right angle

Plane
A boundless flat surface

Plane Geometry
Branch of geometry that deals with geometric figures which require a plane but not any space for their existence

Point
Undefined, but can be described as an exact unique sizeless location in space

Postulate
A statement that requires no proof

Ray
Has an endpoint and extends infinitely in 1 direction

Right Angle
An angle q whose measure is q = 90

Segment
An infinite set of collinear points with finite length

Segment Bisector
A line, segment, ray, or plane that intersects a midpoint of a segment

Skew Lines
Noncoplanar lines that never intersect

Solid Geometry
Branch of geometry that deals with figures which occupy space

Space
Infinite set of all points everywhere

Straight Angle
An angle q whose measure is q = 180

Supplementary Angles
A pair of angles whose sum is 180

Theorem
A statement that requires proof

ThreeDimensional Figure
A geometric figure that takes up space in solid geometry like a pyramid or sphere

Trisect
Divide into three equal or congruent parts

TwoDimensional Figure
A geometric figure that takes up no space and can be represented in a plane like a triangle or circle

Vertex
The shared endpoint of two rays that form an angle

Vertical Angles
A pair of angles whose sides form opposite rays

Alternate Exterior Angles
Angles that lie outside two lines on opposite sides of the transversal

Alternate Interior Angles
Angles that lie between two lines on opposite sides of the transversal

Consecutive Interior Angles (SameSide Interior)
Two angles that lie between two lines on the same side of the transversal

Corresponding Angles
Angles that occupy corresponding positions

PointSlope Form  (y  y1) = m(x  x1)
...

Transversal
A line that intersects two or more coplanar lines at different points

Slope
(y2  y1)/(x2  x1)

Standard Form
For linear equations, the form Ax + By = C, where A,B,C are integers and A doesn't equal 0

SlopeIntercept Form
A linear equation of the form y = mx + b

