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altitude
a perpendicular segment from a vertex to the line containing the opposite side

angle of depression
the line formed by a horizontal line and a line of sight to the point below

angle of elevation
the line formed by a horizontal line and a line of sight to the point above

biconditional statement
a statement written as "if and only if"

centroid
point of concurrency of three points of a triangle (center of gravity)

circumcenter
point of concurrency of the three perpendicular bisectors of a triangle

circumscribed
every vertex to the polygon lies in the circle

conclusion
the part of a conditional statement following the word "then"

concurrent
three or more lines that intersect at a point

conjecture
a statement that is believed to be true

contrapositive
The statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement

converse
switching hypothesis and conclusion of a conditional statement

cosine
adjacent over hypotenuse

counterexample
an example that proves the conjecture is false

cross products
products across from eachother that can be multiplied to get a certain answer

deductive reasoning
the process of using your own logic to draw conclusions

defintion
a statement that describes a mathematical object and can be proven by a biconditional statement

dilation
A transformation in which the lines connecting every point with its premiage P all intersect at a point C known as the center of dilation

equidistant
the same distance from two or more objects

hypothesis
the part of a conditional statement following the word if

incenter
the point of concurrency of the three angle bisectors of a triangle

indirect measurement
a method of measurements that uses formulas, similar figures,and/or proportions

inductive reasoning
the process of reasoning that a rule or statement is true because specific cases are true

inscribed
an angle whose vertex is on a circle and whose sides contain chords of a circle

inverse
the statement formed by negating the hypothesis and conclusion of a conditional statement

median
a segment whose midpoints are a vertex of the triangle and the midpoint to the opposite side

midsegment
a segment that joins the midpoints of two sides of a triangle

negation
to make a statement negative

orthocenter
the point of concurrency of three altitudes of a triangle

point of concurrency
a point where 3 or more lines coincide

polygon
a closed plain figure formed by 3 or more segments such that each segment intersects exactly 2 other segments only at their endpoints and no two segments with a common endpoint are collinear

proof
an argument that uses logic to prove that a conclusion is true

proportion
a statement that two ratios are equal

pythagorean triple
a set of three non-zero numbers: a, b, and c:a^2+b^2=c^2

quadrilateral
a 4 sided polygon

ratio
a conmparison of two quantities by division

scale
a ratio between two corresponding measurements

scale drawing
a drawing that uses a scale to represent an objec that is smaller or larger than the actual object

scale factor
the multiplier used on each dimension to change one figure into a similar figure

similar
have the same shape but not necessarily the same size

similarity ratio
a ratio of two corresponding linear measurements in a pair or figure

sine
opposite over hypotenuse

tangent
opposite over adjacent

thereom
a statement that has been proven

triangle
a three sided polygon

trigonometric ratio
a ratio of two sides of a right triangle

two column proof
a style of proof in which the statements are written in the left hand collumn and the reasons are written in the right hand collumn