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47 terms

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