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# Algebra 1 Chapter 12

### McDougal Littell

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

Square-root function | The function define by y=√X |

Conjugates | The expression (a+ √b) and (a-√b) are conugates of each other. |

Complete the square | The process of rewriting a quadratic equation so that one side is a perfect square. |

Pythagorean theorem | If a triangle is a right triangle, then the sum of the squares of the lenghts of the legs a and b equals the square of the leghth of the hypotenuse. |

Hypotenuse | The side opposite the right angle in a right triangle. |

Legs of a right triangle | The two sides of a right triangle that are not opposite the right triangle. |

Hypothesis | The "if" part of an if-then statement. In the "if p, then q," p is the hypthesis. |

Conclusion | If the "then" part of an if-then statement. In the statement "if p, then q," q is the conclusion. |

Converse | A related statment in which the hypothesis and conclusion are interchanged. |

Distance formula | The distance d between the points (x1,y1) and (x2,y2) |

Midpoint between two points | The midpoint of the line segment connecting them. |

Midpoint formula | The midpoint between (x1,y1) and (x2,y2) |

Trigonometric Ratio | The ratio of the lengths of two sides of a right triangle. |

Postulates, or axioms | The basic properties of mathematics that mathematicians accept without proof. |

Theorems | A statement that can be proven to be true. |

Conjecture | A statement that is thought to be true but is not yet proved. Often it is a statement based on observation. |

Indirect Proof | A type of proof where it is first assumed that the statement is false. |