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66 Cards in this Set
- Front
- Back
CIRCLE
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set of all points in a plane equidistant from a given, fixed point in the same plane
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SPHERE
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set of all points in space equidistant from a given, fixed point
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Paralellograms unioned with Quadralaterals =
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Quadralateral
Note: All parallelograms are quadralaterals |
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EULER'S FORMULA
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(F+V-E=2)
Prism: F = n + 2, V = 2n, E = 3n Pyramid: F = n + 1, V = n + 1, E = 2n |
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POLYGON
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simple closed planar geometric figure composed of line segments
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PARALLELOGRAM
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quadrilateral with opposite sides parallel, and thus congruent
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RECTANGLE
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parallelogram with at least one right angle
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RHOMBUS
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parallelogram with all sides congruent
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SQUARE
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rhombus with at least one right angle
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TRAPEZOID
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quadrilateral with exactly 2 parallel sides
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REGULAR POLYGON
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any polygon in which all interior angles are congruent & all sides are of equal length
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MINIMUM FACES IN A PRISM
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5: 3 lateral, 1 upper, 1 lower
Ex: Triangular prism |
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MINIMUM # OF FACES IN A PYRAMID
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4: 3 lateral, 1 base
Ex: Triangular pyramid |
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SCALENE TRIANGLE
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no 2 sides congruent
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ISOSCELES
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exactly 2 congruent sides
NOTE: 2 45's = a right isosceles |
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EQUILATERAL TRIANGLE
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all sides congruent (or equal in length)
NOTE: Cannot have a right equilateral |
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ACUTE ANGLE MEASURE
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every angle less then 90°
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OBTUSE ANGLE MEASUREMENT
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Exactly 1 angle greater then 90°
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STRAIGHT ANGLE
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angle with measurement = to 180°
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REFLEX ANGLE
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greather than 180°, less then 360°
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COMPLIMENTARY ANGLE
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2 angles that sum 90°
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SUPPLIMENTARY ANGLE
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2 angles that sum 180°
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CONGRUENT OBJECTS
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identical shape & size
-corresponding angles = in measure -corresponding sides = in length NOTE: If congruent, then similar If similar, not necessarily cong. |
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FORMULA FOR # OF DIAGONALS IN A POLYGON
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N = sides
N(N-3)/2 = diagonals |
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CONE
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vertex, 1 base
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CYLINDER
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2 bases, no vertices
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METRIC UNITS OF MEASURE
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Kilometer
Hectometer Dekameter Meter Decimeter Centimeter Millimeter |
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FORMULA FOR FINDING CELSIUS WHEN GIVE FAHRENHEIT
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- 32
x 5 / 9 |
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FORMULA FOR FINDING FAHRENHEIT WHEN GIVEN CELSIUS
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x 9
/ 5 + 32 |
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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 |
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HOW MANY CUPS IN A:
Pint Quart Gallon |
1 pint = 2 cups
1 quart = 4 cups 1 gallon = 16 cups |
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HOW MANY INCHES IN A FOOT?
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12in
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HOW MANY FEET IN A YARD?
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3 feet
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HOW MANY FEET IN A MILE?
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5280 feet
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HOW MANY CENTIMETERS IN AN INCH?
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2.54 cm
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60 MINUTES = HOW MANY SECONDS?
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3600
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WHAT IS THE DEGREE OF BOILING POINT IN FAHRENHEIT & CELSIUS?
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F = 212°
C = 100° |
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WHAT IS FREEZING POINT IN FAHRENHEIT & CELSIUS?
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F 32°
C 0° |
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Inductive
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Based on pattern
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Deductive
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Based on facts
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Distance (between 2 points) form
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(x2 - x1) + (y2 - y1) = r^2
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Equation of Circle
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(x - h)^2 + (y - k)^2 = r^2
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Midpoint equation
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x2 + x1/2
and y2 + y1/2 |
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Equation of Parabola
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y - ax^2 + bx + c
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3 measures of dispersion:
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Range, Variance, Standard deviation
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3 measures of central tendencies
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Mean, Median, Mode
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Mean equation
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Sum X/N = -
X |
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Variance equation
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(x - -
x)^2 ...and divided by N-1 |
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Relation of R: A ---> B is: a subset of A X B
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a subset of A X B
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Function: F from A to B (f: A-->B) is a relation where each pre-image has exactly 1 image
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n/a
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Median Locator
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n + 1/2
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Income measure that is least likely to be skewed by using:
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median
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Five # Summary
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L = lowest
Q1 = first quartile = n + 1/2 count from left M = median Q3 = last quartile = n + 1/2 count from right U = highest |
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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 |
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To find area from diagonal length
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Example: Square
Square root of s^2 + s^2 is provided Area = s^2 Perimeter = 4S |
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# of diagonals in a polygon equation:
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n(n - 3)/2
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Point slope form
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y - y1 = m(x - x1)
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Slope intercept form
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y = mx + b
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Slope
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rise/run, y2 - y1/x2 - x1
Ex: (1,2) (4,8) = 8 - 2/4 - 1 |
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General Form
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Ex: Change from 2y = -3x - 2
to: 3x + 2y = -2 |
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Standard score Z
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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 |
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Frequency,
Mean = |
Score X frequency divided by sum
Ex: Score = x Frequency = F X(F)^2/n - 1 n - 1 = frequency sum minus 1 |
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Standard Deviation
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square root of variance
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2 lines in same plane are perpendicular if:
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1)product of slopes = -1
Ex: m1(m2) = -1 ....or 2)1 vertical line, other horizontal |
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Determine equation of a line:
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y2 - y1/x2 - x1
Ex: Point (-1,3) Point (1,-3) = (3 - -1)/1 - -1) = (3 + 1)/(1 + 1) = 4/2 = 2 |
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Slope of parallel lines =
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lines with same slope
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