Study sets matching "geometry algebra"

Study sets
Classes
Users

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?
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.
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.
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
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
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
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
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
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
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…
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…
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
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)
Algebra/Geometry
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
Geometry/Algebra
169
196
225
256
13x13
14x14
15x15
16x16
169
13x13
196
14x14
Algebra geometri
34+22
2x+3x-x
340+430
40x50
56
4x
770
2000
34+22
56
2x+3x-x
4x
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
18 terms
Geometry pre-algebra ( Plane geometry)
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…
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
5 terms
Algebra and Geometry
Area of a parallellogram
Area of a triangle
Area of a circle
Area of a trapezoid
A = bh
A = 1/2 bh
A = pi r
A = 1/2h(b1 + b2 )
Area of a parallellogram
A = bh
Area of a triangle
A = 1/2 bh
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.
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
Pre-Algebra/Geometry
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°
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
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
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
18 terms
Geometry Unit Algebra 100
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
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…
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…
42 terms
Algebra and Geometry- Vocab 2
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
Algebra and Geometry- Vocab 1
Simple Closed Curve
Regular Polygon
Pentagon
Hexagon
...
A polygon in which all sides are congruent and all angles are…
A polygon with five sides
A polygon with six sides
Simple Closed Curve
...
Regular Polygon
A polygon in which all sides are congruent and all angles are…
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…
Algebra and Geometry- Vocab 2
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
...
Algebra and Geometry- Vocab 3
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
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…
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
60 terms
Algebra and Geometry Definitions
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
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
10 terms
Algebra/Geometry Vocabulary
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…
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
31 terms
Algebra - Coordinate Geometry
D
A
D
B
D
A
34 terms
reasoning in algebra & geometry
conditional
contrapositive
converse
inverse
an if-then statement
if not q then not p
if q then p
if not p then not q
conditional
an if-then statement
contrapositive
if not q then not p
28 terms
Algebra 1/ Geometry Formulas
Area of a Square
Area of Triangle
Area of Rectangle
Perimeter of Rectangle
S^2
1/2bh
lw
2l + 2w
Area of a Square
S^2
Area of Triangle
1/2bh
Algebra- Transformational Geometry
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
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
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
Algebra and Geometry Properties
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
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…
1 of 10