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66 Cards in this Set
 Front
 Back
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+VE=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(N3)/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 N1 

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 preimage 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 

689599.7 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
