# Study sets matching "pythagorean theorem"

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What is the main belief of the Age of E…

What ideal was growing during the Enlig…

What is Enlightenment according to Kant?

Which of these are not Categorical Impe…

A.: promoted the power of reason and scientific observation.

a. Secularism... b. Existentialism... c. Protestantism... d. Buddhism

a. An 18th-century philosophical movement stressing the import…

a. "Do unto others as you would have them do unto you."... b. "Ac…

What is the main belief of the Age of E…

A.: promoted the power of reason and scientific observation.

What ideal was growing during the Enlig…

a. Secularism... b. Existentialism... c. Protestantism... d. Buddhism

What is the Pythagorean Theorem?

a2+b2=c2 really is equal to what?

How do you make sure a triangle is a tr…

a2+b2<c2 is a Right, Acute, or Obtuse T…

a2+b2=c2

a x a + b x b = c x c

Make sure the two shorter sides add up to be greater than the…

Obtuse Triangle

What is the Pythagorean Theorem?

a2+b2=c2

a2+b2=c2 really is equal to what?

a x a + b x b = c x c

Law of Sines

Law of Cosines (for a or A)

Law of Cosines (for b or B)

Law of Cosines (for c or C)

sin(A)/a = sin(B)/b = sin(C)/c

a² = b² + c² - 2(b)(c)cos(A)

b² = a² + c² - 2(a)(c)cos(B)

c² = a² + b² - 2(a)(b)cos(C)

Law of Sines

sin(A)/a = sin(B)/b = sin(C)/c

Law of Cosines (for a or A)

a² = b² + c² - 2(b)(c)cos(A)

Political development in Greece

Economic and social development in Gree…

Zeus

Hera

Mountainous terrain both helped and hindered the development o…

Agriculture (limited arable land)... Commerce and the spread of H…

Paramount Ruler of a Divine Realm (Olympus)... King of gods

Zeus Wife... Goddess of Marriage

Political development in Greece

Mountainous terrain both helped and hindered the development o…

Economic and social development in Gree…

Agriculture (limited arable land)... Commerce and the spread of H…

rational number

irrational number

pythagorean theorem

sine

any whole number, fraction, mixed number, or decimal together…

a number without a predictable pattern of digits

in a right triangle, the sum of the squares of the lengths of…

the ratio of the leg Opposite an acute angle to the Hypotenuse.

rational number

any whole number, fraction, mixed number, or decimal together…

irrational number

a number without a predictable pattern of digits

components

vector resolution

How are vectors added graphically?

What are the components of a vector?

projections of a vector parallel to the x-axis and another par…

the process of breaking a vector into its components

By placing the tail of the second vector on the tip of the fir…

Projections of the component vectors onto axes.

components

projections of a vector parallel to the x-axis and another par…

vector resolution

the process of breaking a vector into its components

Segment addition postulate

Angle addition postulate

Pythagorean theorem

Linear pair theorem

if B is between A and C, then AB+BC=AC

if B is in the interior of <AOC, then m<AOB+m<BOC=m<AOC

in a right triangle, the sum of the squares of the lengths of…

if 2 angles are a linear pair, then they are supplementary

Segment addition postulate

if B is between A and C, then AB+BC=AC

Angle addition postulate

if B is in the interior of <AOC, then m<AOB+m<BOC=m<AOC

10 commandments

Greek Golden Age

Mandate of Heaven

Eight Fold Path

the 10 laws given by God to Moses

A lot of art and stuff cane out of this, no fighting was going…

the belief that the Chinese king's right to rule came from the…

eight guides to thought and conduct in the Buddhism religion

10 commandments

the 10 laws given by God to Moses

Greek Golden Age

A lot of art and stuff cane out of this, no fighting was going…

Homer

Aeschylus

What are the two types of Greek dramas?

What type of tragedies did Aeschylus, S…

A Greek poet who wrote the Iliad and the Odyssey

Father of tragedy and wrote the Oresteia about the wrath of th…

Tragedy and comedy

Tragedies

Homer

A Greek poet who wrote the Iliad and the Odyssey

Aeschylus

Father of tragedy and wrote the Oresteia about the wrath of th…

Although I'm a sculptor by trade, I spe…

"Everything can be explained in mathema…

I am the goddess of wisdom, war, and cr…

I studied with Plato for 20 years befor…

Socrates

Pythagoras

Athena

Aristotle

Although I'm a sculptor by trade, I spe…

Socrates

"Everything can be explained in mathema…

Pythagoras

45-45-90 Triangle Theorem

30-60-90 Triangle Theorem

Pythagorean Theorem

Converse of the Pythagorean Theorem

In a 45-45-90 triangle, the legs L are congruent and the lengt…

the length of the hypotenuse (h) is 2 times the length of the…

In a right triangle, the sums of the squares of the lengths of…

If the sum of the squares of the lengths of the shortest sides…

45-45-90 Triangle Theorem

In a 45-45-90 triangle, the legs L are congruent and the lengt…

30-60-90 Triangle Theorem

the length of the hypotenuse (h) is 2 times the length of the…

Aristotle

Ptolemy

Galen

Hippocrates

Tutored Alexander the Great and opened an academy

geocentric model and made maps

discovered blood in arteries and the 4 humors

father of medicine and hippocratic oath. Wrote ethics of medic…

Aristotle

Tutored Alexander the Great and opened an academy

Ptolemy

geocentric model and made maps

Pythagorean triple

Circumcenter

equidistant

Orthocenter

Set of 3 nonzero whole numbers a, b, and c that satisfy the Py…

the point of concurrency of the perpendicular bisectors of a t…

Describes a point that is the same distance from two or more o…

The point of concurrency of the altitudes of a triangle

Pythagorean triple

Set of 3 nonzero whole numbers a, b, and c that satisfy the Py…

Circumcenter

the point of concurrency of the perpendicular bisectors of a t…

reflexive property

transitive property

substitution property

median triangle

equal or congruent to it self... ex: <ABC=<ABC

equal to the same or different equal quantities ... ex: <1=<2... <1=…

may be substituted for its equal... ex: <3+<2=90 <3+<1=90

reflexive property

equal or congruent to it self... ex: <ABC=<ABC

transitive property

equal to the same or different equal quantities ... ex: <1=<2... <1=…

Opposite angle relationship in a triang…

Pythagorean Theorem

Converse of the Pythagorean thm

Triangle Proportionality Theorem

A triangle shortest side is always opposite angle. The longest…

a²+b²=c² the square of the hypotenuse of a right triangle equa…

If the square of the length of the longest triangle is equal t…

If a line parallel to one side of a triangle intersects with o…

Opposite angle relationship in a triang…

A triangle shortest side is always opposite angle. The longest…

Pythagorean Theorem

a²+b²=c² the square of the hypotenuse of a right triangle equa…