# Study sets matching "pre chapter 5"

Study sets

Diagrams

Classes

Users

improper fraction

lowest terms of a fraction

Rational Number

Mixed Number

a fraction whose numerator is larger than the denominator

A fraction is in lowest terms if the GCF of numerator and deno…

Any number that can be written a/b , where a and b are integer…

A number consisting of an integer and a proper fraction.

improper fraction

a fraction whose numerator is larger than the denominator

lowest terms of a fraction

A fraction is in lowest terms if the GCF of numerator and deno…

identity

trigonometric identities

Pythagorean identities

Pythagorean identities

when the left side of an equation is equal to the right side f…

identities that involve trigonometric functions

sin^1 + cos^2 = 1

tan^2 + 1 = sec^2

identity

when the left side of an equation is equal to the right side f…

trigonometric identities

identities that involve trigonometric functions

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Angle of Depression

Angle of Elevation

Coterminal Angles

Reference Angle

The angle from the horizontal to the line of sight in a downwa…

The angle from the horizontal to the line of sight in a upward…

Two angles on the unit circle that have the same terminating s…

The acute angle from the terminating side of an angle to the x…

Angle of Depression

The angle from the horizontal to the line of sight in a downwa…

Angle of Elevation

The angle from the horizontal to the line of sight in a upward…

cofunction

difference identity

double-angle identity

half-angle identity

-Trig identities showing the relationship between sine and cos…

sin(a-b)=sin(a)cos(b)-cos(a)sin(b)... cos(a-b)=cos(a)cos(b)+sin(a…

Trig identities that show how to find the sine, cosine, or tan…

useful in calculus for converting rational functions in sine a…

cofunction

-Trig identities showing the relationship between sine and cos…

difference identity

sin(a-b)=sin(a)cos(b)-cos(a)sin(b)... cos(a-b)=cos(a)cos(b)+sin(a…

exponential function with base b

Euler's constant e

y = e^x

y = logb(x)

defined by the equation y = b^x where 0>b > 1

to five decimals this approximates 2.71828... a common constant i…

instantaneous rate of change function, for any y coordinate on…

y denotes the exponent to which base, b, must be raised to yie…

exponential function with base b

defined by the equation y = b^x where 0>b > 1

Euler's constant e

to five decimals this approximates 2.71828... a common constant i…

abstract of title

action to quiet title

adverse possession

alienation

The condensed history of a title to a particular parcel of rea…

A court action to remove a cloud on the title.

The open, continuous, exclusive, adverse, notorious, (OCEAN) p…

The act of transferring property to another. Alienation may be…

abstract of title

The condensed history of a title to a particular parcel of rea…

action to quiet title

A court action to remove a cloud on the title.

bar notation

common multiples

dimensional analysis

least common denominator

to indicate that a digit or a group of digits repeats

sometimes numbers have some of the same multiples

is the process of including units of measurements of factors w…

the least of two numbers

bar notation

to indicate that a digit or a group of digits repeats

common multiples

sometimes numbers have some of the same multiples

dimensional analysis

LCD

multiple

reciprocals

a process of analyzing units to decide which conversion factor…

the least common multiple of the denominators

the product of that number and any nonzero whole number

two numbers with a product of 1

dimensional analysis

a process of analyzing units to decide which conversion factor…

LCD

the least common multiple of the denominators

Constant of proportionality

Cross products

Equivalent ratios

Indirect measurement

The value of the ratio of quantities in a proportional relatio…

For two ratios, the cross products are found by multiplying th…

Two ratios that name the same number are equivalent ratios. Eq…

Indirect measurement uses proportions and similar figures to m…

Constant of proportionality

The value of the ratio of quantities in a proportional relatio…

Cross products

For two ratios, the cross products are found by multiplying th…

ratio

rate

unit rate

complex fractions

a comparison of two numbers by division

A ratio that compares two quantities measured in different uni…

a rate that has a denominator of 1

A fraction where the numerator, denominator, or both contain a…

ratio

a comparison of two numbers by division

rate

A ratio that compares two quantities measured in different uni…

rational number

terminating decimal

repeating decimal

reciprocal

A number that can be written as a quotient of two integers

A decimal that has a final digit

decimal in which a digit or a group of digits repeats without…

Two nonzero numbers whose product is 1

rational number

A number that can be written as a quotient of two integers

terminating decimal

A decimal that has a final digit

Vertex

Initial Side

Terminal Side

Standard Position

The common endpoint of two rays forming an angle

The fixed ray of an angle

A ray of an angle that rotates about the vertex

An angle with its vertex at the origin and its initial side al…

Vertex

The common endpoint of two rays forming an angle

Initial Side

The fixed ray of an angle

Pythagorean Theorem

Perpendicular Lines

Parallel Lines

Transversal

Describes the relationship between the lengths of the legs and…

Two lines that intersect in a plane and form a right angle.

Two lines that are in the same plane but do not ever intersect.

A line that intersects two or more lines.

Pythagorean Theorem

Describes the relationship between the lengths of the legs and…

Perpendicular Lines

Two lines that intersect in a plane and form a right angle.

Quotient identities

Reciprocal Identities

Pythagorean Identities

Even Identities

tanu = sinu/cosu... cotu = cosu/sinu

sinu = 1/sinu... cosu = 1/secu... tanu = 1/cotu... cotu = 1/tanu... secu =…

sin^2u = cos^2u = 1... 1+tan^2u = sec^2u... 1 + cot^2u= csc^2u

cos(-u) = -cosu... sec(-u) = -secu

Quotient identities

tanu = sinu/cosu... cotu = cosu/sinu

Reciprocal Identities

sinu = 1/sinu... cosu = 1/secu... tanu = 1/cotu... cotu = 1/tanu... secu =…

complex fractions

congruent

constant of proportionality

corresponding parts

A fraction with a numerator and/or denominator that is also a…

Line segments that have the same length, or angles that have t…

A constant ratio or unit rate of a proportion.

Parts of congruent or similar figures that match.

complex fractions

A fraction with a numerator and/or denominator that is also a…

congruent

Line segments that have the same length, or angles that have t…

Perpendicular Lines

Parallel Lines

Transversal

Interior Angles

Two lines that intersect in a plane and form right angles.

Two lines in the same plane that do not intersect

a line that intersects two or more lines

angles on the inside of parallel lines cut by a transversal

Perpendicular Lines

Two lines that intersect in a plane and form right angles.

Parallel Lines

Two lines in the same plane that do not intersect

Ambiguous Case

Angle of Depression

Angle of Elevation

Apothem

Given two sides and a non-included angle, there are two possib…

the angle between the horizontal and the line from the object…

the angle between the horizontal and the line from the object…

a line from the center of a regular polygon at right angles to…

Ambiguous Case

Given two sides and a non-included angle, there are two possib…

Angle of Depression

the angle between the horizontal and the line from the object…

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ratio

rate

unit rate

complex fractions

a comparison of two quantities by division

a ratio of two quantities having different kinds of units

when a rate is simplified so that it has a denominator of 1

fractions with one or more fractions in the numerator, denomin…

ratio

a comparison of two quantities by division

rate

a ratio of two quantities having different kinds of units

Great plains

Treaty of Fort Laramie

Sitting bull

George Armstrong Custer

Grasslands extending through the west central portion of the U…

Sioux agreed to live on a reservation along the Missouri River

Leader of Hunkpapa Sioux

Reported that the black hills had gold

Great plains

Grasslands extending through the west central portion of the U…

Treaty of Fort Laramie

Sioux agreed to live on a reservation along the Missouri River

perpendicular bisector

locus

Perpendicular Bisector Theorm

Converse of the Perpendicular Bisector…

A line that is perpendicular to a segment at its midpoint.

a set of points that satisfys a particular condition. The perp…

if a point is on the perpedicular bisector of a segment then i…

if a point is equidistant from the endpoints of a segment then…

perpendicular bisector

A line that is perpendicular to a segment at its midpoint.

locus

a set of points that satisfys a particular condition. The perp…