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# Geo Vocab

Term | Definition |
---|---|

acute angle | an angle less then 90 degrees |

adjacent angles | two angles in the same plane with a common vertex and a common side, but no common interior points. |

angle | a figure formed by two rays, or sides, with a common endpoint |

angle additon | two angles add into one whole angle. You can sum their measures |

angle bisector | the line segment, line, or ray that bisects an angle |

bisect | divides in half |

collinear | Points that lie on the same line |

complementary angles | angles that add up to 90 degrees |

conclusion | the part q of a conditional statement following the word then. |

conditional statement | a statement that can be written in the form "if p, then q." |

congruent angles | angles that have the same measures |

congruent segments | segments that have the same length |

conjecture | A statement you believe to be true based on inductive reasoning |

construction | a way of creating a figure that is more precise |

contrapositive | the statement formed by both exchanging and negating the hypothesis and conclusion. |

converse | he statement formed by exchanging the hypothesis and conclusion. |

coordinate | A point corresponds to one and only one number on the ruler |

coordinate plane | a plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis) |

coplanar | Points that lie in the same plane |

counterexample | To show that a conjecture is false, you have to find only one example in which the conjecture is not true. This case is called a..... |

Deductive reasoning | building a logical argument/explanation by making conjecture based on established facts |

degree | 1 out of 360 of a circle |

distance | the absolute value of the difference |

of the coordinates | |

endpoint | a point at one end of a segment or the starting point of a ray. |

exterior of an angle | the set of all points outside the angle. |

hypotenuse | the side that stretches from one leg to the other |

hypothesis | the part p of a conditional statement following the word if. |

inductive reasoning | process of reasoning that a rule or statement is true because specific cases are true |

interior of an angle | The set of all points between the sides of the angle |

inverse | the statement formed by negating the hypothesis and the conclusion. |

Law of detachment | if P -> q is a true conditional and p is true, then q is true |

Law of syllogism | If p -> q and q-> r are true conditionals, then p -> r are also true.. |

leg | two sides that form a right angle |

length | distance between A and B ̶̶ |

line | a straight path that has no thickness and extends forever. |

linear pair | a pair of adjacent angles whose noncommon sides are opposite rays |

logically equivalent statements | Related conditional statements that have the same truth value |

measure | usually given in degrees. |

midpoint | the point that bisects the segment into two congruent segments. the center point |

negation | p is "not p," written as ∼p |

obtuse angle | an angle more then 90 degrees |

opposite rays | two rays that have a common endpoint and form a line. |

plane | a flat surface that has no thickness and extends forever. |

point | a location and has no size. It is represented by a dot. |

postulate | or axiom, is a statement that is accepted as true without proof. |

ray | a part of a line that starts at an endpoint and extends forever in one direction. |

right angle | a 90 degree angle |

segment | the part of a line consisting of two points and all points between them. |

segment bisector | any ray, segment, or line that intersects a segment at its midpoint. It divides a segment into two equal parts at its midpoint. |

straight angle | a 180 degree angle |

supplementary angles | angles that add up to 180 degrees |

undefined terms | cannot be defined by using other figures. |

vertex | common endpoint |

vertical angles | two nonadjacent angles formed by two intersecting lines. opposite angles |