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# Geometry key terms

### key terms found in geometry

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

Point | a single location in space, with no shape or size |

line | infinite number of arrangment of points. |

plane | a flat surface with an infinite length and with but no depth |

Collinear points | points that are located on the same line |

Coplanar lines | two or more lines that are located in the same plane |

compass | a tool for drawing circles |

straitedge | a tool for drawing straight lines |

sketch | a rough drawing representing the chief features of an object often as preliminary study |

draw | to draw a shape |

construct | The drawing of various shapes using specific tools |

skew lines | two or more lines that are not in the same plane |

segment lines | lines that are limited and have two endpoints |

ray | lines that go on continuously and have one or no endpoints |

endpoint of a ray | the point at wich a ray ends |

endpoint of a line segment | the points at wich a line ends |

congruent line segments | two line segments that are congruent with each other. |

duplicate a line segment | making another line segment exactly like the first one |

angle | The space between two intersecting lines |

sides of an angle | the lines that make up an angle |

vertex of an angle | the intersecting point of a angle |

protractor | a tool for messureing angles |

degrees | the unit you messure angles in |

acute angle | an angle that is lower than 90 degrees |

right angles | an angle that is exactly 90 degrees. |

obtuse angle | an angle that is greater than 90 degrees |

straight angle | an angle that is exaclty 180 degrees |

congruent angles | two angles that are congruent with each other. |

duplicate an angle | making another line segment exactly like the first one |

bisect | to divide into two parts |

angle bisector | to divide a bisector into two parts |

supplementay angles | the sum of their angle measures is 180 |

complementary angles | the sum of their angle measures is 90 degrees |

perpendicular | a 90 degree angles |

midpoint of a segment | the very center |

segment bisector | the devision of a line segment into two parts |

perpendicular bisector | A line which cuts a line segment into two equal parts at 90° |

adjacent angles | Two angles that share a common side and a common vertex, but do not overlap |

linear pair | Two angles that share a leg and add up to 180° |

virtical angles | A pair of non-adjacent angles formed by the intersection of two straight lines |

inductive reasoning | reasoning that involves using specific examples to make a conclusion. |

deductive reasoning | reasioning that involves using a genral rule to make a conclusion |

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

propositional form | this states that: "if a = b and both a and b are true, then c is also true if and only if, c is equal to a and b." |

propositioanl variables | a variable which can either be true or false |

hypothesis | a guesstimation |

conclusion | answer, or ending to a formula, or question |

truth value | the truth or falsity of a proposition or statement |

truth table | A diagram in rows and columns showing how the truth or falsity of a proposition varies with that of its components. |

postulate | to clame or assume the excistence of somthing without proof |

theorem | A general proposition not self-evident but proved by a chain of reasoning |

Euclidean geometry | a system of geometry |

Addition Property of equality | The Additional Property of Equality states: "If a,b,and c are real numbers and a = b, then a+c=b+c" |

Subtraction Property of Equality | The Substitute Property states: "If a and b are real numbers and a=b, then a can be substituted for b" |

Reflex Property | The relex property states: "if a is a real number, then a=a" |

Substitution Property | The substitution property states: "if a and b are real numbers and a=b, then a can be substituted for b." |

Transitive Property | The Transitive Property states: "If a,b, and c are real numbers and a=b and b=c, then a=c |

Paragraph proof | A kind of proof in which the steps are written out in complete sentences |

two-colomn proof | Numbered statements and corresponding reasons that show an argument in logical order. |

construction proof | proof via construction |

flow chart proof | proof via a flow chart |

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