# 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

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

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

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…

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

similar

proportion

unit price

corresponding sides

used to describe figures having the same shape but not necessa…

an equation that states that two ratios are equivalent

a unit rate used to compare price per item

sides of similar figures having the same relative position

similar

used to describe figures having the same shape but not necessa…

proportion

an equation that states that two ratios are equivalent

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…

converse

Distance Formula

equiangular

hypotenuse

formed when parts of a theorem are reversed

formula used to find the distance between two points

a polygon in which all angles are congruent

the side opposite the right angle in a right triangle

converse

formed when parts of a theorem are reversed

Distance Formula

formula used to find the distance between two points

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

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…

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…