Math Study Words

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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

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