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segment addition postulate

angle addition postulate

angle bisector

adjacent angles

if B is between A and C, then AB + BC= AC. If AB + BC= AC, th…

If P is in the interior of angle RST, then the measure of ang…

a ray that divides an angle into two angles that are congruent

two angles that share a common vertex and side, but have no c…

segment addition postulate

if B is between A and C, then AB + BC= AC. If AB + BC= AC, th…

angle addition postulate

If P is in the interior of angle RST, then the measure of ang…

divisible

prime number

composite number

prime factorization

if the first number can be divided by the second number with…

a whole number with exactly two factors, 1 and the number its…

a whole number greater than 1 with more than two factors

writing a composite number as the product of its prime factors

divisible

if the first number can be divided by the second number with…

prime number

a whole number with exactly two factors, 1 and the number its…

How to find the midpoint

How to find distance

How to find slope

Parallel lines

Add the x's and divide by 2. Add the y's and divide by 2.

Subtracts x's to find "a". Subtract y's to find "b". Use Pyth…

Numerator is found by subtracting y's. Denominator is found b…

Two lines that have the same slope

How to find the midpoint

Add the x's and divide by 2. Add the y's and divide by 2.

How to find distance

Subtracts x's to find "a". Subtract y's to find "b". Use Pyth…

Pythagorean Theorem

Hypotenuse

Leg

Converse

a²+b²=c²

the side of a right triangle opposite the right angle

the sides of a right triangle that make up the right angle

if a²+b²=c² then the triangle is a right triangle

Pythagorean Theorem

a²+b²=c²

Hypotenuse

the side of a right triangle opposite the right angle

Geometry

line

line segment

ray

the branch of mathematics that deals with the properties of a…

a long thin mark that is straight (no curves), has no thickne…

a line with a beginning and an end

a part of a line that has only one endpoint and goes on forev…

Geometry

the branch of mathematics that deals with the properties of a…

line

a long thin mark that is straight (no curves), has no thickne…

Pythagorean Theorem

Similar Triangles

Area of a Circle

Circumference of a Circle

a^2 + b^2 = c^2

If two triangles have the same angles the ratios of the lengt…

A = πr^2

C = 2πr

Pythagorean Theorem

a^2 + b^2 = c^2

Similar Triangles

If two triangles have the same angles the ratios of the lengt…

Polygon

Triangle

Acute

Obtuse

Is a closed figure in a plane that is made up of segments, ca…

Is a three sided polygon.

An angle whose measure is between 0 and 90.

An angle greater than 90 but less than 180.

Polygon

Is a closed figure in a plane that is made up of segments, ca…

Triangle

Is a three sided polygon.

Parallelogram

Proof sentence for the slope of a para…

Proof sentence for the distance of a p…

Rectangle

Find 4 slopes or 4 distances

Quad ABCD is a parallelogram since both pair of opposite side…

Quad ABCD is a parallelogram since both pair of opposite side…

Find 4 slopes

Parallelogram

Find 4 slopes or 4 distances

Proof sentence for the slope of a para…

Quad ABCD is a parallelogram since both pair of opposite side…

Aristocracy

Citizen

Democracy

Monarchy

a government in which power is in the hands of a hereditary r…

a legally recognized person in a state who has certain rights…

a government controlled by its citizens - Started in Athens

a government in which power is in the hands of a single monar…

Aristocracy

a government in which power is in the hands of a hereditary r…

Citizen

a legally recognized person in a state who has certain rights…

Greeks looked to religion for three th…

Thales

Parmenides

Democritus

1. Explain Nature... 2. Explain the emotions that sometimes caus…

The first Greek philosopher who wanted to understand the natu…

Set up formal rules for philosophical arguments

Developed the atomic theory using logic and mathematics

Greeks looked to religion for three th…

1. Explain Nature... 2. Explain the emotions that sometimes caus…

Thales

The first Greek philosopher who wanted to understand the natu…

Perpendicular bisector

Circumcenter

Where is the circumcenter in a triangle?

Perpindicular/Angle bisector therom

Bisects the side of the triangle at a right angle into two eq…

Point of intersection ... Its equidistant from all verticies

Acute-in the triangle ... Right-on the triangle ... Obtuse- outside…

Splits an angle into two equal parts ... If a point is on the bi…

Perpendicular bisector

Bisects the side of the triangle at a right angle into two eq…

Circumcenter

Point of intersection ... Its equidistant from all verticies

English System

Metric System

SI System

Scalar

The most ancient of systems which is based on easy to obtain,…

Invented by the French and is based on very loosely defined s…

System developed by the French and is based on very accurate…

A number that is magnitude only.

English System

The most ancient of systems which is based on easy to obtain,…

Metric System

Invented by the French and is based on very loosely defined s…

Raster Processing functions can be org…

Review: Local and Focal... Local = _____…

Surface Functions (focal):

Zonal Functions Requires two input maps:

Local ... Focal ... Zonal ... Global

single ... neighboring

Aspect ... Slope ... Contour ... Hillshade

zone map ... measurement map

Raster Processing functions can be org…

Local ... Focal ... Zonal ... Global

Review: Local and Focal... Local = _____…

single ... neighboring

Properties of the Dot Product

The Pythagorean Theorem

Theorem 3

Indepedence

Let u, v, w ∈ Rn, and let c be a scalar. Then... a. u · v = v ·…

Vectors u and v are orthogonal iff || u + v ||^2=|| u ||^2 +…

Let A be an m by n matrix. The orthogonal complement of the r…

If S = {u1, u2, . . . , up} is an orthogonal set of nonzero v…

Properties of the Dot Product

Let u, v, w ∈ Rn, and let c be a scalar. Then... a. u · v = v ·…

The Pythagorean Theorem

Vectors u and v are orthogonal iff || u + v ||^2=|| u ||^2 +…

midsegment

Triangle Midsegment Theorem

Perpendicular Bisector Theorem

Perpendicular Bisector Converse

a segment that connects the midpoints of two sides of a trian…

If a segment joins the midpoints of two sides of a triangle,…

If a point lies on the perpendicular bisector of a segment, t…

If a point is equidistance from the endpoints of a segment, t…

midsegment

a segment that connects the midpoints of two sides of a trian…

Triangle Midsegment Theorem

If a segment joins the midpoints of two sides of a triangle,…

rational number

terminating decimal

repeating decimal

integer

A number that can be written in the form "a/b" where "a" is a…

A decimal expansion that stops

A decimal expansion of a fraction the repeats the same digit…

a counting number,the opposite of a counting number, or zero

rational number

A number that can be written in the form "a/b" where "a" is a…

terminating decimal

A decimal expansion that stops

slope

Area of a circle

circumference of a circle

area of a rectangle

rise over run = delta of y / delta of x = y2-y1 / x2-x1

A = π r squared (pi times radius squared)

C = 2 π r (2 pi radius)

A = l w (length times width)

slope

rise over run = delta of y / delta of x = y2-y1 / x2-x1

Area of a circle

A = π r squared (pi times radius squared)

Real number

Distinct number

Slope intercept form

Positive or negative slope tell us what?

a value that represents a quantity along a line. ... The real…

a number in a set that is not equal to another number. For ex…

y=mx+b; y is the y intercept, m is the slope AKA rate of chan…

Positive means the line runs uphill from left to right, negat…

Real number

a value that represents a quantity along a line. ... The real…

Distinct number

a number in a set that is not equal to another number. For ex…

PHYSICAL SCIENCE Multiple Choice A chi…

PHYSICAL SCIENCE Short Answer A 100-wa…

LIFE SCIENCE Multiple Choice Which of…

LIFE SCIENCE Short Answer What is the…

Z) A CLASS ONE LEVER

1 AMPERE... (Solution: current = watts/volts; 100/100 = 1 ampere)

W) CEREBRAL CORTEX

TAXIS

PHYSICAL SCIENCE Multiple Choice A chi…

Z) A CLASS ONE LEVER

PHYSICAL SCIENCE Short Answer A 100-wa…

1 AMPERE... (Solution: current = watts/volts; 100/100 = 1 ampere)

Mean (Average)

Median

Mode

Probability

sum of the terms / number of terms

the middle number in a list when items are arranged in order…

the term that occurs most frequently in a list

"winning" outcomes / total possible outcomes

Mean (Average)

sum of the terms / number of terms

Median

the middle number in a list when items are arranged in order…

geometric mean

geometric mean (altitude) theorem

geometric mean (leg) theorem

for any positive numbers a and b, the positive number x such…

the altitude drawn to the hypotenuse of a right triangle sepa…

the altitude drawn to the hypotenuse of a right triangle sepa…

geometric mean

for any positive numbers a and b, the positive number x such…

geometric mean (altitude) theorem

the altitude drawn to the hypotenuse of a right triangle sepa…

hypotenuse

legs

theorem

Pythagorean Theorem

the side opposite the right angle in a right triangle

the two sides that form the right angle of a right triangle

an idea that has been demonstrated as true

In a right triangle, the square of the length of the hypotenu…

hypotenuse

the side opposite the right angle in a right triangle

legs

the two sides that form the right angle of a right triangle

Components

Vector Resolution

Kinetic Friction

Static Friction

Parts of a vector broken up into a vector parallel to the x-a…

The process of breaking vectors into components.

Exerted on one surface by another when the two surfaces rub a…

The force exerted on one surface by another when there is no…

Components

Parts of a vector broken up into a vector parallel to the x-a…

Vector Resolution

The process of breaking vectors into components.

acute triangle

obtuse triangle

right triangle

equiangular triangle

a triangle with 3 acute angles

a triangle with 1 (and only 1) obtuse angle

a triangle with 1 (and only 1) right angle

a triangle with all 3 angles congruent (all 60 degrees)

acute triangle

a triangle with 3 acute angles

obtuse triangle

a triangle with 1 (and only 1) obtuse angle

altitude

perpendicular bisector

perpendicular lines

proportional sides

a line segment through a vertex and perpendicular to a line c…

a line which cuts a line segment into two equal parts at 90 d…

lines that intersect to form a right angle

two quantities with the same ratio

altitude

a line segment through a vertex and perpendicular to a line c…

perpendicular bisector

a line which cuts a line segment into two equal parts at 90 d…

postulate 1-1-1

postulate 1-1-2

postulate 1-1-3

postulate 1-1-4

Through any two points there is exactly one line

Through any three noncollienear points there is exactly one p…

If two points lie in a plane then the line containing those p…

If two lines intersect, then they intersect then they interse…

postulate 1-1-1

Through any two points there is exactly one line

postulate 1-1-2

Through any three noncollienear points there is exactly one p…

Geometry

line

line segment

ray

the branch of mathematics that deals with the properties of a…

a long thin mark that is straight (no curves), has no thickne…

a line with a beginning and an end

a part of a line that has only one endpoint and goes on forev…

Geometry

the branch of mathematics that deals with the properties of a…

line

a long thin mark that is straight (no curves), has no thickne…