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Study sets matching "geometry algebra"

10 terms
Algebra Geometry
What is the slope formula?
What is the midpoint formula?
What is the equation of a line fomula?
What is the equation of a circle formu…
y = mx + b or y - y1 = m( x - x1)
(x - h)^2 + (y - k)^2 = r^2
What is the slope formula?
What is the midpoint formula?
12 terms
Reasoning in Algebra and Geometry
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.
13 terms
Reasoning in Algebra & Geometry
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.
13 terms
Algebra and Geometry
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
6 terms
Algebra for Geometry
Distance formula
Midpoint formula
Pythagorean theorem
Slope
Distance formula
Midpoint formula
12 terms
Geometry and Algebra
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
31 terms
Algebra - Coordinate Geometry
D
A
D
B
D
A
Algebra/Geometry/Precalculus Algebra
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
Geometry and Algebra
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
15 terms
Algebra Properties for Geometry
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)
9 terms
2-5: Reasoning in Algebra & Geometry
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
25 terms
Fisher Geometry Algebra Properties
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
Geometry/ algebra
distance formula
horizontal line distance
vertical line distance
slope formula
d= square root (x2-x1) +(y2-y1)
absolute value x2-x1
absolute value y2-y1
m= y2-y1/x2-x1
distance formula
d= square root (x2-x1) +(y2-y1)
horizontal line distance
absolute value x2-x1
11 terms
Algebra to geometry
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…
15 terms
Algebra/Geometry Concepts Vocabulary
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
13 terms
Algebra in Geometry
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
20 terms
Geometry and Algebra Facts
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
23 terms
Geometry/Algebra
169
196
225
256
13x13
14x14
15x15
16x16
169
13x13
196
14x14
18 terms
Geometry pre-algebra ( Plane geometry)
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…
12 terms
Algebra/ Geometry 2
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.
27 terms
Algebra Formulas and Geometry Formulas
Volume of Cylinder
Slope Intercept Form
Point-Slope Form
Formula for Slope
V= πr^2 h
y=mx+b
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
Volume of Cylinder
V= πr^2 h
Slope Intercept Form
y=mx+b
11 terms
Algebra/Geometry
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
14 terms
PRE-ALGEBRA 8: CHAPTER 7 - GEOMETRY
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…
23 terms
Geometry Unit for Pre-Algebra
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
30 terms
Pre Algebra Review Geometry Vocabulary
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
Algebraic and Geometry
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
19 terms
Geometry Unit Pre-Algebra
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…
8 terms
PRE-ALGEBRA 7: CHAPTER 11 - GEOMETRY CONTINUED
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…
25 terms
Pre-Algebra: Geometry and Area
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…
16 terms
Geometry / Algebra Review
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
8 terms
Geometry algebra words
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
47 terms
Algebra and Geometry for Elementary Education
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
15 terms
Algebra/Geometry Concepts Vocabulary
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
15 terms
Geometry: Algebraic Properties
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
19 terms
PRE-ALGEBRA 7: CHAPTER 10 - GEOMETRY AND AREA
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…
Saxon Geometry - algebra
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…
30 terms
Chapter 9 Geometry and Algebra
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…
10 terms
PRE-ALGEBRA 8: CHAPTER 9 - GEOMETRY AND MEASUREMENT
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…
9 terms
Pre Algebra Geometry formulas
Circumference of a circle
area of a circle
Area of a parallelogram
Area of a triangle
C=2πr
A=πr²
A=bh
A = 1/2 bh
Circumference of a circle
C=2πr
area of a circle
A=πr²
20 terms
Geometry Pre-Algebra Vocab
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.
12 terms
Regents Geometry- Algebra Based Geometry
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
38 terms
Algebra and Geometry Review
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
Unit 2 Geometry and Algebra
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
53 terms
Discovering Geometry vocab and Algebra review
acute
obtuse
point
segment
angle less than 90 degrees
angle greater than 90 degrees
no size
part of a line with two endpoints
acute
angle less than 90 degrees
obtuse
angle greater than 90 degrees
58 terms
TB Algebra and Geometry Definitions
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
43 terms
ACT - Algebra & Coordinate Geometry
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
34 terms
Algebra and Geometry Unit 3
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
12 terms
Reasoning in Algebra and Geometry
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.
12 terms
Reasoning in Algebra and Geometry
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.
22 terms
Geometry & Algebra Definitions
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…
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