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66 Cards in this Set

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CIRCLE
set of all points in a plane equidistant from a given, fixed point in the same plane
SPHERE
set of all points in space equidistant from a given, fixed point
Paralellograms unioned with Quadralaterals =
Quadralateral

Note: All parallelograms are quadralaterals
EULER'S FORMULA
(F+V-E=2)
Prism: F = n + 2, V = 2n, E = 3n

Pyramid: F = n + 1, V = n + 1, E = 2n
POLYGON
simple closed planar geometric figure composed of line segments
PARALLELOGRAM
quadrilateral with opposite sides parallel, and thus congruent
RECTANGLE
parallelogram with at least one right angle
RHOMBUS
parallelogram with all sides congruent
SQUARE
rhombus with at least one right angle
TRAPEZOID
quadrilateral with exactly 2 parallel sides
REGULAR POLYGON
any polygon in which all interior angles are congruent & all sides are of equal length
MINIMUM FACES IN A PRISM
5: 3 lateral, 1 upper, 1 lower

Ex: Triangular prism
MINIMUM # OF FACES IN A PYRAMID
4: 3 lateral, 1 base

Ex: Triangular pyramid
SCALENE TRIANGLE
no 2 sides congruent
ISOSCELES
exactly 2 congruent sides

NOTE: 2 45's = a right isosceles
EQUILATERAL TRIANGLE
all sides congruent (or equal in length)

NOTE: Cannot have a right equilateral
ACUTE ANGLE MEASURE
every angle less then 90°
OBTUSE ANGLE MEASUREMENT
Exactly 1 angle greater then 90°
STRAIGHT ANGLE
angle with measurement = to 180°
REFLEX ANGLE
greather than 180°, less then 360°
COMPLIMENTARY ANGLE
2 angles that sum 90°
SUPPLIMENTARY ANGLE
2 angles that sum 180°
CONGRUENT OBJECTS
identical shape & size
-corresponding angles = in measure
-corresponding sides = in length

NOTE: If congruent, then similar
If similar, not necessarily cong.
FORMULA FOR # OF DIAGONALS IN A POLYGON
N = sides

N(N-3)/2 = diagonals
CONE
vertex, 1 base
CYLINDER
2 bases, no vertices
METRIC UNITS OF MEASURE
Kilometer
Hectometer
Dekameter
Meter
Decimeter
Centimeter
Millimeter
FORMULA FOR FINDING CELSIUS WHEN GIVE FAHRENHEIT
- 32
x 5
/ 9
FORMULA FOR FINDING FAHRENHEIT WHEN GIVEN CELSIUS
x 9
/ 5
+ 32
HOW MANY METERS IN:
Kilometer (km)
Hectometer (hm)
Dekameter (dam)
Decimeter (dm)
Centimeter (cm)
Millimeter (mm)
1km = 1000m
1hm = 100m
1dam = 10m

10dm = 1m
100cm = 1m
1000mm = 1m
HOW MANY CUPS IN A:
Pint
Quart
Gallon
1 pint = 2 cups
1 quart = 4 cups
1 gallon = 16 cups
HOW MANY INCHES IN A FOOT?
12in
HOW MANY FEET IN A YARD?
3 feet
HOW MANY FEET IN A MILE?
5280 feet
HOW MANY CENTIMETERS IN AN INCH?
2.54 cm
60 MINUTES = HOW MANY SECONDS?
3600
WHAT IS THE DEGREE OF BOILING POINT IN FAHRENHEIT & CELSIUS?
F = 212°
C = 100°
WHAT IS FREEZING POINT IN FAHRENHEIT & CELSIUS?
F 32°
C 0°
Inductive
Based on pattern
Deductive
Based on facts
Distance (between 2 points) form
(x2 - x1) + (y2 - y1) = r^2
Equation of Circle
(x - h)^2 + (y - k)^2 = r^2
Midpoint equation
x2 + x1/2
and

y2 + y1/2
Equation of Parabola
y - ax^2 + bx + c
3 measures of dispersion:
Range, Variance, Standard deviation
3 measures of central tendencies
Mean, Median, Mode
Mean equation
Sum X/N = -
X
Variance equation
(x - -
x)^2

...and

divided by N-1
Relation of R: A ---> B is: a subset of A X B
a subset of A X B
Function: F from A to B (f: A-->B) is a relation where each pre-image has exactly 1 image
n/a
Median Locator
n + 1/2
Income measure that is least likely to be skewed by using:
median
Five # Summary
L = lowest
Q1 = first quartile = n + 1/2 count from left
M = median
Q3 = last quartile = n + 1/2 count from right
U = highest
68-95-99.7 Rule
The Normal (Gaussian) Distribution
Example: 68% expected to score between 85 - 115 on a test. Standard deviation = 15

1)find median 85 + 115/2 = 100 = 68%

2)subtract standard deviation (15) from lower side, add to higher end (85 - 15) & (115 + 15) = 70 - 130 = 95%

3)Repeat step 2 for 99.7% (70 - 15) & (130 + 15) = 55 - 145
To find area from diagonal length
Example: Square
Square root of s^2 + s^2 is provided
Area = s^2
Perimeter = 4S
# of diagonals in a polygon equation:
n(n - 3)/2
Point slope form
y - y1 = m(x - x1)
Slope intercept form
y = mx + b
Slope
rise/run, y2 - y1/x2 - x1
Ex: (1,2) (4,8) = 8 - 2/4 - 1
General Form
Ex: Change from 2y = -3x - 2
to: 3x + 2y = -2
Standard score Z
x - M/standard deviation 0~

Ex: Math
x = test score
M = class average
0~ = standard deviation

Skewed left = median less then mean
Skewed right = median more then mean

Greater frequency away from median = higher standard deviation
Frequency,
Mean =
Score X frequency divided by sum

Ex: Score = x
Frequency = F

X(F)^2/n - 1

n - 1 = frequency sum minus 1
Standard Deviation
square root of variance
2 lines in same plane are perpendicular if:
1)product of slopes = -1
Ex: m1(m2) = -1

....or

2)1 vertical line, other horizontal
Determine equation of a line:
y2 - y1/x2 - x1

Ex: Point (-1,3) Point (1,-3) =
(3 - -1)/1 - -1) =
(3 + 1)/(1 + 1) =
4/2 =
2
Slope of parallel lines =
lines with same slope