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# Geometry vocab

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

conclusion | the phrase following the word, "then" |

conditional statement | a statement that can be written in if-then form |

conjecture | an educated guess based on known information |

conjunction | a compound statement formed by joining two or more statements with the word "and" |

contrapositive | negating both the hypothesis and conclusion of the converse statement (~q ~p) |

converse | exchanging the hypothesis and conclusion of the conditional. |

counterexample | the false example |

deductive argument | a group of algebraic steps used to solve problems |

deductive reasoning | takes all sorts of facts, and takes those to determine whether the hypothesis is true or not(like science with experiments) |

disjunction | a compound statement formed by joining two or more statements with the word "or" |

hypothesis | the phrase following the word "if" |

if-then statement | written in the form of if p, then q. |

inductive reasoning | reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction |

inverse | negating both the hypothesis and conclusion of the conditional |

negation | opposite meaning as well as the opposite truth value |

paragraph proof | aka informal proof you write a paragraph to explain why a conjecture for a given situation is true. |

postulate | aka axiom a statement that is accepted as true |

proof | a logical argument in which each statement you make is supported by a statement that is accepted as true. |

theorem | a statement that has been shown to be true, and can be used to justify that other statements are true. |

truth value | the truth or falsity of a statement |

two-column proof | aka formal proof contains statements and reasons organized in two columns |

acute angle | the measure of the angle is less than 90 |

adjacent angles | two angles that lie in the same plane, have a common vertex and a common side, but no common interior points |

angle | formed by two noncollinear rays that have a common endpoint |

angle bisector | a ray that divides an angle into two congruent angles |

area | the number of square units needed to cover a surface |

bases | Two parallel congruent faces |

circumference | the distance around the circle |

collinear | points on the same line |

complementary angles | two angles with measures that have a sum of 90 |

concave | no points of the lines are in the interior |

cone | A circular base and a vertex |

congruent | segments that have the same measure |

construction | methods of creating geometric figures without the benefit of measuring tools |

convex | some of the lines pass through the interior |

coplanar | points that lie on the same plane |

cylinder | A solid with congruent circular bases in a pair of parallel planes |

degree | the unit used for dividing the distance or circumference into parts. circles have 360 degrees |

edges | The line segments where the faces interesect |

face | Each flat surface |

line | made up of points and has not thickness or width |

linear pair | a pair of adjacent angles with noncommon sides that are opposite rays (supplementary and 180 degrees) |

line segment | piece of a line with two endpoints. |

midpoint | the point of the segment that divides the segment into two congruent segments |

obtuse angle | the measure of the angle is less than 180 but more than 90 |

opposite rays | the point that determines exactly two rays |

perimeter | the sum of the length of the sides of the polygon |

perpendicular | lines, segments, or rays that form right angles |

plane | a flat surface made up of points |

point | a location |

polygon | a closed figure whose sides are all segments |

polyhedron | A solid with all flat surfaces that enclose a single region of space is called _______. |

prism | A polyhedron with two parallel congruent faces called bases. |

pyramid | A polyhedron with all faces (except for one) intersecting at one vertex is a _________. |

ray | part of a line with one endpoint and extends indefinitely on the other end |

right angle | the measure of the angle is 90 |

segment bisector | any segment, line, or plane that intersects a segment at its midpoint |

sides | the rays make up the sides of the angle |

space | a boundless, three-dimensional set of all points. space contains lines and planes |

sphere | A set of points in space that are a given distance from a given point. |

supplementary angles | two angles with measures that add up to a sum of 180 |

undefined terms | Words, usually readily understood, that are not formally explained by means of more basic words and concepts. The basic undefined terms of Geometry are point, line, and plane. |

vertex | the common endpoint |

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

Created by:
Elphaba12