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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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