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43 Cards in this Set
- Front
- Back
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Solid
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3-D Figures
The union of al pints on a simple closed surface and all pints in its interior |
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Polyhedron
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a simple closed surfaced formed by planar polygonal regions
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Face
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Each polygonal region
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Vertices and Edges
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the vertices and edges of the polygonal regions
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Transformational Geometry
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The study of manipulating objects by flipping, twisting, turing and scaling them.
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Translation
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a transformation that slides an object a fixed distance in a given direction
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Rotation
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Transformation that turns a figure about a fixed point called the center of rotation
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Reflection
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Objects have the same shape and size but the figures face in opposite directions over a line of reflection
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line of reflection
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-The line where you can imagine a mirror placed
-the distance from a point to the line of reflection is the same distance from the points image to the line of reflection |
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Glide Reflection
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a combination of a reflection and a translation
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Dilation
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A transformation that shrinks an object or makes it bigger.
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Tessellation
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An arrangement of closed shapes that completely covers a plane without overlapping or leaving gaps.
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Net
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a 2-D figure that can be cut out and folded up to make a 3-D solid
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Measurement (Length) conversions
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Inches, Feet, Yards, Miles
12 inches=1 foot 36 inches=1 yard 3 feet= one yard 5,280 feet= 1 mile 1760 yards=1 mile |
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Measurement (Weight) conversions
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Ounces, pounds, tons
16 ounces= 1 pound 2000 pounds= 1 ton |
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Measurement (Capacity) conversions
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Fluid Ounces, Cups, Pints, Quarts, Gallons
8 fluid ounces= 1 cup 2 cups= 1 pint 4 cups= 1 quart 2 pints= 1 quart 4 quarts= 1 gallon |
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Metric Units
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K H D U D C M
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Square units
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1 square foot= 144 square inches
1 square yard=9 square feet 1 square yard= 1296 square inches |
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Circumference
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The distance around a circle
C=2*pi*r or C=pi*d |
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Area of a Circle
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A= pi*r^2
area=pi*r squared |
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Lateral Area
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the area of the faces excluding the base
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surface area
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total area of all the faces including the base
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volume
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the number of cubic units in a solid,the amount of space a figure holds
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Right Prisim
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Volume=Bh
where B is the area of the base of the prism and h is the heigh of the prism. |
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Rectangular Right Prism
Formulas |
S=2(lw+hw+lh)
V= lwh |
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Regular Pyramid for volume
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V=1/3 Bh
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Right Circular Cylinder
Surface Area Volume |
S=2*pi*r (r+h)
V= pi*rsquared*h |
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Right Circular Cone
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V=1/3 Bh
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Solving for rates:
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1)write equation
2) multiply each term by the LCD of all fractions 3) this will cancel out all of the denominators and give an algebraic equation to be solved ex: Elly can feed animals in 10 min Jethro can feed them in 10 minutes, how long will it take them to feed them together? Elly can feel 1/15 of them in one min 2/15 in 2 min... x/15 in x minutes Equation: x/15 +x/10=1 (one job) -multiply by LCD of 30 and get 2x+3x=30 |
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Adjacent Angles
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have common vertex and one common side but not interior points in common
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Complementary Angles
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add up to 90 degrees
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Supplementary angles
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add up to 180 degrees
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Vertical angles
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have sides that form two pairs of opposite rays
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Corresponding angles
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are in the same corresponding position on two parallel line cut by transversal
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Alternate interior angles
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are diagonal angles on the inside of two parallel lines cut by a transferal
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To make a circle graph/pie chart:
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1)total all the information that is to be included
2)determine the central angle to be used for each sector of the graph using information/total information x 360=degrees in central angel |
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Dependent event
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the probability of the second event depends on the first event
ex: it is sunny on saturday /you go to the beach |
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Odds
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ratio of the number of favorable outcomes to the number of unfavorable outcomes
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sample space
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list of all possible outcomes of an experiment
ex: tossing two coins : (HH, HT, TT, TH,) |
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Fundamental counting principle
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if there are (m) possible outcomes for one task and (n) possible outcomes for another task then there are
(m x n) outcomes all together. |
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permutation
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the number of possible arrangements of items without repetition where order is important
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combination
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the number of possible arrangements, without repetition where order of selection is not important
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addition counting principle for of counting for mutually exclusive events
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if A and B are mutually exclusive events
n (AorB)= n (A) + n(B) |
