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Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If AB - BC = 12, then AB = 12 + BC.

If 6x + 8 = 24, then 6x = 16.

If 12x = 84, then x = 7.

Addition Property of Equality

If AB - BC = 12, then AB = 12 + BC.

Subtraction Property of Equality

If 6x + 8 = 24, then 6x = 16.

Postulate

Addition

Subtraction

Multiplication

statement that we assume to be true

If a = b, then a + c = b + c. Type the Property.

If a = b, then a - c = b - c. Type the Property.

If a = b, then ac = bc. Type the Property.

Postulate

statement that we assume to be true

Addition

If a = b, then a + c = b + c. Type the Property.

place value

prime factor

prism

quadratic

the value of a digit, depending on its position (e.g., the po…

a factor of a composite number that is a prime number

a 3-D solid shape whose two ends are exactly the same and par…

any equation or mathematical relationship where the maximum v…

place value

the value of a digit, depending on its position (e.g., the po…

prime factor

a factor of a composite number that is a prime number

midpoint, bisect, vertical angles

complementary, right angles

supplementary, linear pair

collinear, between, adjacent angles, i…

____ = _____ is used for

_____ + _____ = 90 is used for

_____ + _____ = 180 is used for

_____ + _____ = _____ is used for

midpoint, bisect, vertical angles

____ = _____ is used for

complementary, right angles

_____ + _____ = 90 is used for

Slope

Consistent system

Independent system

Dependent system

Rate that describes how two variables change in relation to o…

The system has at least one solution

If a consistent system has exactly one solution, it is this t…

If a consistent system has an infinite amount of solutions, i…

Slope

Rate that describes how two variables change in relation to o…

Consistent system

The system has at least one solution

Polynomial

Bionomial

Imaginary number

Exponent

A mathematical expression with multiple terms

A mathematical expression with two terms

the square root of -1

Says how many times to multiply the base by itself

Polynomial

A mathematical expression with multiple terms

Bionomial

A mathematical expression with two terms

Associative property of addition

Associative property of Multiplication

Commutative property of addition

Commutative property of multiplication

(1 + 3) + 4 = 1 + (3 + 4)

(2 x 3) x 4=2 x (3 x 4)

2 + 10 + 5 = 2 + 5 + 10

5 x 4 = 4 x 5

Associative property of addition

(1 + 3) + 4 = 1 + (3 + 4)

Associative property of Multiplication

(2 x 3) x 4=2 x (3 x 4)

Addition Property

Subtraction Property

Multiplication Property

Division Property

If a = b, then a + c = b + c

If a = b, then a - c = b - c

if a = b, then a X c = c X c

If a = b and c does not = 0, then a/c = b/c

Addition Property

If a = b, then a + c = b + c

Subtraction Property

If a = b, then a - c = b - c

If m∠B = m∠G then m∠B + m∠O = m∠G + m∠O

If QR = ST, then QR + AB = ST + AB

∠Q ≅ ∠Q

If MA + MA = XO, then 2(MA) = XO

Addition property of equality

Addition property of equality

Reflexive property of congruence

Combine Like Terms

If m∠B = m∠G then m∠B + m∠O = m∠G + m∠O

Addition property of equality

If QR = ST, then QR + AB = ST + AB

Addition property of equality

Composite solids

Cone

Cylinders

Hemisphere

An object made of more than one type of solid

A three dimensional figure with one circular base connected b…

A three dimensional figure with two parallel congruent circul…

One of two congruent halves of a sphere

Composite solids

An object made of more than one type of solid

Cone

A three dimensional figure with one circular base connected b…

evaluate

Simplify

Solve

Equation

Finding the value of an expression

Using properties to reduce expressions

Finding all values of the variable that make the equation a t…

A mathematical sentence stating that two mathematical express…

evaluate

Finding the value of an expression

Simplify

Using properties to reduce expressions

Complementary Angles

Supplementary Angles

Vertical Angles

Perpendicular Lines

Two angles with a sum of 90 degrees

Two angles with a sum of 180 degrees

A pair of angles opposite each other forming by intersecting…

Form right angles

Complementary Angles

Two angles with a sum of 90 degrees

Supplementary Angles

Two angles with a sum of 180 degrees

A triangle is a shape that has

A right angle triangle has one angle of

The parts of a right angle triangle are

An equilateral triangle

three straight sides and three angles

90 degrees

Right Angle... Hypotenuse... Opposite and Adjacent sides

all interior angles are 60 degrees

A triangle is a shape that has

three straight sides and three angles

A right angle triangle has one angle of

90 degrees

Line segment

Midpoint

Notation

Intersecting lines

Two points on a line ( the endpoints ) and all the points bet…

The point in the center of a line segment. It separates a lin…

A system of symbols used to represent special things.

A single point where two lines meet or cross each other.

Line segment

Two points on a line ( the endpoints ) and all the points bet…

Midpoint

The point in the center of a line segment. It separates a lin…

Coplaner

Congruent

Angle Bisector

Angle

points that lie on the same plane.

Segments or angles that have the same length or measure.

a ray that divides an angle into two congruent parts.

Two noncollinear rays having a same common endpoint

Coplaner

points that lie on the same plane.

Congruent

Segments or angles that have the same length or measure.

How to find the slope of two points?

Find slope for (5,3) (6,-10)

How to find length of two points

Find length of (5,3) (6,-10)

y2-y1 a... ------ -- a/b... x2-x1 b

-10-3 -13... ------ -- -13... 6-5 1

Y2-y1 a... ------ -- a^2+b^2 sqrt... X2-x1 b

Square root of 170

How to find the slope of two points?

y2-y1 a... ------ -- a/b... x2-x1 b

Find slope for (5,3) (6,-10)

-10-3 -13... ------ -- -13... 6-5 1

Adjacent angles

Alternate interior angles

Complementary

Congruent angles

Adjacent angles have a common vertex and a common side but no…

Alternate interior angles lie within a pair of lines and on o…

Two angles are complementary if the sum of their measures is…

Congruent angles are angles that have the same measure.

Adjacent angles

Adjacent angles have a common vertex and a common side but no…

Alternate interior angles

Alternate interior angles lie within a pair of lines and on o…

line segment

triangle

vertex

acute angle

part of a line containing two endpoints and all the points be…

a three-sided polygon

a point where two sides of the polygon intersect

An angle whose measure is less than 90 degrees.

line segment

part of a line containing two endpoints and all the points be…

triangle

a three-sided polygon

point

endpoints

line

line segment

a specific location in space

the points at either end of a line segment

a set of points that form a straight path extending infinitel…

the part of a line that has two endpoints and a definite length

point

a specific location in space

endpoints

the points at either end of a line segment

Roman Numerals

Arabic Numerals

Zero

Unity

Numerals are symbols that are used to represent numbers

Official international number system and language of math

The number with the hole in the middle,AKA nil or naught

This special one is the number between zero and 2

Roman Numerals

Numerals are symbols that are used to represent numbers

Arabic Numerals

Official international number system and language of math

Acute Angle

Obtuse Angle

Straight Angle

Right Angle

An angle with a measure greater than 0 degrees and less than…

An angle with a measure greater than 90 degrees and less than…

An angle that equals 180 degrees.

An angle that equals 90 degrees.

Acute Angle

An angle with a measure greater than 0 degrees and less than…

Obtuse Angle

An angle with a measure greater than 90 degrees and less than…

Alternate interior angles

Congruent polygons

Corresponding angles

Exterior angle

Alternate interior angles lie within a pair of lines and on o…

Two polygons are congruent if they have exactly the same shap…

Corresponding angles lie on the same side of the transversal…

An exterior of a polygon is an angle formed by a side and an…

Alternate interior angles

Alternate interior angles lie within a pair of lines and on o…

Congruent polygons

Two polygons are congruent if they have exactly the same shap…

Polygon

Regular Polygon

Convex

Concave

is a closed figure whose sides are segments that intersect on…

all the sides have the same length and all angles have the sa…

a segment joining any two interior points lies completely wit…

A polygon that is not convex.

Polygon

is a closed figure whose sides are segments that intersect on…

Regular Polygon

all the sides have the same length and all angles have the sa…

Slope

Y Intercept

Slope Intercept Form

Rational Numbers

Rise/Run

where the line crosses the y axis

The slope-intercept form of a linear equation is y=mx+b, wher…

A number that can be written as a ratio [in the form a/b with…

Slope

Rise/Run

Y Intercept

where the line crosses the y axis

Adjacent angles

Right angle

Complementary angles

Supplementary angles

Angles with a common side and vertex that do not overlap

An angle whose measure is 90 degrees

Two angles whose measures sum up to 90 degrees

Two angles whose measures sum up to 180 degrees

Adjacent angles

Angles with a common side and vertex that do not overlap

Right angle

An angle whose measure is 90 degrees

Line

Line Segment

Ray

Plane

a long, narrow mark or band

Part of a line between two endpoints

A straight line that extends from a point

a flat surface on which a straight line joining any two point…

Line

a long, narrow mark or band

Line Segment

Part of a line between two endpoints

evaluate

Simplify

Solve

Equation

Finding the value of an expression

Using properties to reduce expressions

Finding all values of the variable that make the equation a t…

A mathematical sentence stating that two mathematical express…

evaluate

Finding the value of an expression

Simplify

Using properties to reduce expressions

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If a = b, then a + c = b + c

If a = b, then a - c = b - c

If a = b, then ac = bc

If a = b & c /=/ 0, then a/c = b/c

Addition Property of Equality

If a = b, then a + c = b + c

Subtraction Property of Equality

If a = b, then a - c = b - c

Acute angle

Adjacent angles

Base of a parallelogram

Base of a triangle

An acute angle is an angle with a measure between 0 and 90 de…

Adjacent angles share a vertex and a side but have no interio…

The height of a parallelogram is the length of a perpendicula…

Any side of a triangle can be considered the base of a triang…

Acute angle

An acute angle is an angle with a measure between 0 and 90 de…

Adjacent angles

Adjacent angles share a vertex and a side but have no interio…

ordered pair

point-slope form

radical symbol

radicand

A pair of numbers x, y that can be used to locate a point on…

y - y 1 = m x - x 1 , where m is the slope and x 1 , y 1 is a…

The symbol √ _ used to denote a root. The symbol is used alon…

The number or expression under a radical sign.

ordered pair

A pair of numbers x, y that can be used to locate a point on…

point-slope form

y - y 1 = m x - x 1 , where m is the slope and x 1 , y 1 is a…

acute triangle

adjacent angles

area

base

A triangle with three acute angles

Angles that have the same vertex, share a common side, and do…

The number of square units needed to cover the surface of a c…

Any side of a parallelogram.

acute triangle

A triangle with three acute angles

adjacent angles

Angles that have the same vertex, share a common side, and do…

Cone

Cylinder

Polyhedron

Prism

A cone is solid with exactly one circular base and one vertex.

A cylinder is a solid with two bases that are parallel, congr…

A polyhedron is solid with a polygon for each face.

A prism is a solid with two parallel and congruent polygonal…

Cone

A cone is solid with exactly one circular base and one vertex.

Cylinder

A cylinder is a solid with two bases that are parallel, congr…

coordinate plane

parallelogram

quadrilateral

rhombus

A plane formed by the intersection of a horizontal number lin…

A quadrilateral with two pairs of parallel lines.

A four sided polygon.

A parallelogram with all sides congruent

coordinate plane

A plane formed by the intersection of a horizontal number lin…

parallelogram

A quadrilateral with two pairs of parallel lines.

Complementary Angles

Supplementary Angles

Adjacent Angles

Linear Pair

Two angles that sum 90 degrees

Two angles that sum 180 degrees

A pair of angles that share a common ray

A pair of adjacent angles where their non-adjacent angles for…

Complementary Angles

Two angles that sum 90 degrees

Supplementary Angles

Two angles that sum 180 degrees

letter used in math to represent an un…

slope of a line

slope/intercept equation of a line

point-slope equation of a line

variable

change in y divided by the change in x

y = mx + b

(y - y₁) = m(x - x₁)

letter used in math to represent an un…

variable

slope of a line

change in y divided by the change in x

Percentage increase or decrease

Angles subtended on the same arc are

The angle in a semi-circle is a

A tangent forms a right angle with the

Difference/original × 100

equal

right-angle

radius

Percentage increase or decrease

Difference/original × 100

Angles subtended on the same arc are

equal

Congruent Segments

Congruent Angles

Bisect (segment)

Bisect (angle)

Line segments with the same length

Angles with the same measure

A point, ray or line that divides a segment into 2 congruent…

A line, ray or line segment that divides an angle into 2 cong…

Congruent Segments

Line segments with the same length

Congruent Angles

Angles with the same measure

Addition Axiom of Equality

Multiplication Axiom of Equality

Reciprocal

Addition Axiom of Inequality

If a=b, then a+c = b+c

If a=b, then ac = bc

1/x = x^-1

If a<b, then a+c < b+c -- any number can be added to both sid…

Addition Axiom of Equality

If a=b, then a+c = b+c

Multiplication Axiom of Equality

If a=b, then ac = bc

Transformation

Image

Isometries (rigid motions)

Translation

a one-to-one correspondence between points in the plane

each point on a plane that is associated with a unique point

transformations that preserve the size and shape of geometric…

transformation that acts like a "slide"

Transformation

a one-to-one correspondence between points in the plane

Image

each point on a plane that is associated with a unique point

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If AB - BC = 12, then AB = 12 + BC.

If 6x + 8 = 24, then 6x = 16.

If 12x = 84, then x = 7.

Addition Property of Equality

If AB - BC = 12, then AB = 12 + BC.

Subtraction Property of Equality

If 6x + 8 = 24, then 6x = 16.

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If AB - BC = 12, then AB = 12 + BC.

If 6x + 8 = 24, then 6x = 16.

If 12x = 84, then x = 7.

Addition Property of Equality

If AB - BC = 12, then AB = 12 + BC.

Subtraction Property of Equality

If 6x + 8 = 24, then 6x = 16.

subtraction

divison

fraction

commutative / additon

if a, b ETR, then a-b=a+b

if a, b ETR, b does not equal 0, then a divided by b = a(1 ov…

if a, b ETR, b does not equal 0, then a over b = a(1 over b)

if a, b ETR, then a+b=b+a

subtraction

if a, b ETR, then a-b=a+b

divison

if a, b ETR, b does not equal 0, then a divided by b = a(1 ov…