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# Designing a winner

### VOcaB

Question | Answer |
---|---|

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. |

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