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# Cornelison C1

### Cornelison - Chapter 1 Vocabulary

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

GEOMETRY | the branch of mathematics that is concerned with the properties and relationships of points, lines, angles, curves, surfaces, and solids; it literally means “to measure the earth” |

POSTULATE or AXIOM | a set of universally accepted statements |

DEDUCTIVE REASONING or LOGICAL REASONING | the process of demonstrating that if certain statements are accepted as true, then other statements can be shown to follow from them |

THEOREM | a statement that has been proved |

COMPASS | an instrument used to draw circles |

INDUCTIVE REASONING | the process of observing data, recognizing patterns, and making generalizations from the observations |

CONJECTURE | the generalization a mathematician makes when using inductive reasoning |

COUNTEREXAMPLE | a case that proves the conjecture wrong |

POINT, LINE, AND PLANE | the three undefined terms in geometry |

COLLINEAR | points that lie on the same line |

COPLANAR | points and lines that lie in the same plane |

RAY | part of a line that consists of a point (initial point) and all the points in one direction |

OPPOSITE RAYS | two rays that are part of the same line, have the same initial point, and go in opposite directions |

LINE SEGMENT | part of a line that consists of two points (endpoints) and all the points between them that lie on the line containing the two points |

MIDPOINT | the point in the middle of the segment |

ANGLE | two rays that share a common endpoint, provided the two rays do not lie on the same line |

VERTEX | the common endpoint of the two rays that form an angle |

ANGLE BISECTOR | a ray (or segment) that has an endpoint on the vertex of the angle and that divides the angle into two adjacent, congruent angles |

COMPLEMENTARY ANGLES | two angles whose measures add to 90 degrees |

SUPPLEMENTARY ANGLES | two angles whose measures add to 180 degrees |

ADJACENT ANGLES | two angles in the same plane that have a common side, a common vertex, but no common interior points |

LINEAR PAIR | two adjacent angles whose noncommon sides form opposite rays |

VERTICAL ANGLES | two nonadjacent angles formed by intersecting lines |

SEGMENT BISECTOR | a line that passes through the midpoint of a segment |

CIRCUMFERENCE | the distance around a circle |

AREA | the measure of the region enclosed by a plane figure |

PERIMETER | the distance around a polygon |

CONDITIONAL STATEMENT | a statement written in “if-then” form |

HYPOTHESIS | the “if” part of a conditional |

CONCLUSION | the “then” part of a conditional |

PERPENDICULAR LINES | coplanar lines that never intersect |

CONVERSE | the statement formed by switching the hypothesis and conclusion of a conditional statement |

BICONDITIONAL STATEMENT | a statement that contains the phrase “if and only if” |

Created by:
bcornelison