#### Study sets matching "geometry algebra"

#### Study sets matching "geometry algebra"

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.

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.

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

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

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

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

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

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…

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…

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

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)

simple closed curve

regular polygon

pentagon

hexagon

curve that can be traced with the same starting and stopping…

polygon that is both equilateral and equiangular

a plane figure with five straight sides and five angles

a plane figure with six straight sides and angles

simple closed curve

curve that can be traced with the same starting and stopping…

regular polygon

polygon that is both equilateral and equiangular

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

Line segment

Midpoint

Notation

Point of intersection

A line with two end points.

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

A line with two end points.

Midpoint

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

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

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.

Pythagorean Theorem

Complementary angles

Supplementary angles

Parallel lines

is a fundamental relation in geometry among the three sides o…

either of two angles whose sum is 90°

either of two angles whose sum is 180°

Two lines on a plane that never meet. They are always the sam…

Pythagorean Theorem

is a fundamental relation in geometry among the three sides o…

Complementary angles

either of two angles whose sum is 90°

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

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

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

acute

obtuse

protractor

straight

an angle with a measure of less than 90º

an angle with a measure of greater than 90º and less than 180º

a device for measuring angles

an angle with a measure of 180º

acute

an angle with a measure of less than 90º

obtuse

an angle with a measure of greater than 90º and less than 180º

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…

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…

Circle

Center

Radius

Diameter

the set of all points in the plane that are a fixed distance…

fixed distance from a given point

distance from the center to a point on the circle

length of a line segment whose endpoints are on the circle an…

Circle

the set of all points in the plane that are a fixed distance…

Center

fixed distance from a given point

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…

Circle

Center

Radius

Diameter

Set of all points in a plane that are a fixed distance from a…

...

A line segment connecting a point on a circle and the center…

A line segment, whose endpoints are on a circle, and which co…

Circle

Set of all points in a plane that are a fixed distance from a…

Center

...

Transformation

Image

Isometries

Translation

A one-to-one correspondence between points in a plane such th…

The result of performing a transformation

Transformations that preserve the shape and the size of the f…

A transformation that slides each point of a figure the same…

Transformation

A one-to-one correspondence between points in a plane such th…

Image

The result of performing a transformation

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…

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

Simple Closed Curve

Regular Polygon

Pentagon

Hexagon

A curve that can be traced with the same starting and stoppin…

equilateral and equiangular

5 sided polygon

6 sided polygon

Simple Closed Curve

A curve that can be traced with the same starting and stoppin…

Regular Polygon

equilateral and equiangular

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

1.How to find the measure of the exter…

2.The difference between concave and c…

3.Find how many diagonals are in a giv…

4.The names of polygons with 3 sides t…

360 divided by the number of sides of the polygon

Concave: looks like it has been "caved in"... Convex: has all i…

A polygon's diagonals are line segments from one corner to an…

Polygons with ___ number of sides is called a...... 3: Triangle…

1.How to find the measure of the exter…

360 divided by the number of sides of the polygon

2.The difference between concave and c…

Concave: looks like it has been "caved in"... Convex: has all i…

Congruent

Similar

Preimage

Image

identical, same exact size and shape

same shape, different size

(ABC) a point or figure before it is transformed

the point or figure after a transformation (prime- A'B'C')

Congruent

identical, same exact size and shape

Similar

same shape, different size

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

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 Property

Subtraction Property

Multiplication Property

Division Property

If a = b, than a + c = b + c

If a = b, than a - c = b - c

If a = b, than ac - bc

If a = b and c doesn't = 0, than a/c = b/c

Addition Property

If a = b, than a + c = b + c

Subtraction Property

If a = b, than a - c = b - c

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…