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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