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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
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