# Study sets matching "pre chapter 5"

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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

Ratio

Equivalent Ratio

Proportion

Rate

A comparison of two numbers by division

Ratios that express the same relationship between two quantiti…

An equation stating that two ratios are equal

A ratio that compares two quantities measured in different uni…

Ratio

A comparison of two numbers by division

Equivalent Ratio

Ratios that express the same relationship between two quantiti…

Parallel Lines

Perpendicular Lines

Transversal

Alternate Interior Angles

Two lines that go on forever and never intersect.

Two lines that intersect and form right angles.

A line that intersects two or more lines to form eight angles.

Interior angles that lie on opposite sides of the transversal.

Parallel Lines

Two lines that go on forever and never intersect.

Perpendicular Lines

Two lines that intersect and form right angles.

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…

materials

raft

ferry

lorry

things that can be used to make something else.... Thor Hyerdahl…

a kind of flat boat build only of round logs

a boat that carries people and goods back and forth across a s…

a large, commercial truck used to carry very large items or la…

materials

things that can be used to make something else.... Thor Hyerdahl…

raft

a kind of flat boat build only of round logs

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…

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

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

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…

Perpendicular Lines

Parallel lines

Transversal

Interior angles

Two Lines that intersect to form right angles

Lines in the same plane that never intersect or cross

A line that intersects two or more other lines

The four inner angles formed by two lines cut by a transversal

Perpendicular Lines

Two Lines that intersect to form right angles

Parallel lines

Lines in the same plane that never intersect or cross

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

alternate exterior angles

alternate interior angles

converse

corresponding angles

Exterior angles that lie on opposite sides of the transversal.…

Interior angles that lie on opposite sides of the transversal.…

The converse of a theorem is formed when the parts of the theo…

corresponding angles - Angles that are in the same position on…

alternate exterior angles

Exterior angles that lie on opposite sides of the transversal.…

alternate interior angles

Interior angles that lie on opposite sides of the transversal.…

1, 100

100, %

multiply, after

top, bottom

Percent means _____ part in every _______.

To convert a decimal to a percent, multiply the decimal by ___…

To convert a decimal to a fraction, write down the decimal div…

To convert a fraction to a decimal, divide the _______ number…

1, 100

Percent means _____ part in every _______.

100, %

To convert a decimal to a percent, multiply the decimal by ___…

Order of operations

Constant

Equation

Root of the equation

Rules that describe the order that addition, subtraction, mult…

A number is an expression that does not change such as 2, -6 a…

A mathematical sentence stating that two quantities are equal…

The number substituted for a variable that makes the equation…

Order of operations

Rules that describe the order that addition, subtraction, mult…

Constant

A number is an expression that does not change such as 2, -6 a…

Unit Circle

Unit Circle Equation

Terminal Point

Reference Angle

the circle of radius 1 centered at the origin... equation is x² +…

x² + y² = 1

Point on the unit circle, can be determined by cos and sin (x,…

acute angle formed by terminal side of an angle and x-axis (al…

Unit Circle

the circle of radius 1 centered at the origin... equation is x² +…

Unit Circle Equation

x² + y² = 1

Temperature

Thermal Energy

Heat

Specific Heat

The measure of the average kinetic energy of a substance

The total energy of motion in the particles of a substance

The energy transferred between objects that are at different t…

The amount of energy required to raise the temperature of 1 gr…

Temperature

The measure of the average kinetic energy of a substance

Thermal Energy

The total energy of motion in the particles of a substance

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…