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# Designing a winner

### VOcaB

Alternate exterior angles Exterior angles on alternate sides of the transversal
Alternate interior angles Interior angles on alternate sides of the transversal
Altitude of a triangle A straight line trough a vertex and perpendicular to a line containing the base of a triangle.
Angle bisector theorem Concerned with the relative lengths of the two segments that a triangle's sideis divided into by a line that bisects the opposite angle. It equates their relative lenghts to the relative lengths of the other 2 sides of the triangle
Converse of angle bisector theorem If a point is equidistant from the sides of an angle, then it is on the angle bisector.
Centroid of a triangle The point where the three medians of the triangle intersect
Complement probability In probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur
Composition Combining of distinct parts or elements to form a whole
Compound event An event whose probability of occurrence depends upon the probability of occurrence of two or more independent events
Compression To reduce a shape in size while retaining proportions
Conditional probability The probability that an event will occur, when another event is known to occur or to have occurred
Conditional probability formula The conditional probability of A given B is denoted by P(A|B) and defined by the formula P(A|B) = P(AB) P(B), provided P(B)>o.
Experimental probability Ratio of the number of times the event occurs to the total number of trials
Frequency table Lists items and uses tally marks to record and show the number of times they occur.
Fundamental counting principle When there are m ways to do 1 thing, and n ways to do another, then there are m*n ways of doing both.
Glide reflection A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation
Glide reflectional symmetry The symmetry that a figure has if it can be made to fit exactly onto the original when it is translated a given distance at a given direction and then reflected over a line
Mutually exclusive events 2 events that cannot occur at the same time
n factorial The factorial of a natural number n is the product of the positive integers less than or equal to n
Preimage The original figure prior to a transformation.
Tessellation A plane with identically shaped pieces that do not overlap or leave blank spaces. The pieces do not have to be oriented identically. A tessellation may use tiles of one, two, three, or any finite number of shapes
Theoretical probability The likelihood of an event happening based on all the possible outcomes
Tree diagram A representation of a tree structure in which the probability of each branch is written on the branch and the outcome is written at the end of the branch.