key terms found in geometry
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| Point | a single location in space, with no shape or size
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| line | infinite number of arrangment of points.
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| plane | a flat surface with an infinite length and with but no depth
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| Collinear points | points that are located on the same line
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| Coplanar lines | two or more lines that are located in the same plane
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| compass | a tool for drawing circles
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| straitedge | a tool for drawing straight lines
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| sketch | a rough drawing representing the chief features of an object often as preliminary study
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| draw | to draw a shape
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| construct | The drawing of various shapes using specific tools
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| skew lines | two or more lines that are not in the same plane
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| segment lines | lines that are limited and have two endpoints
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| ray | lines that go on continuously and have one or no endpoints
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| endpoint of a ray | the point at wich a ray ends
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| endpoint of a line segment | the points at wich a line ends
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| congruent line segments | two line segments that are congruent with each other.
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| duplicate a line segment | making another line segment exactly like the first one
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| angle | The space between two intersecting lines
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| sides of an angle | the lines that make up an angle
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| vertex of an angle | the intersecting point of a angle
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| protractor | a tool for messureing angles
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| degrees | the unit you messure angles in
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| acute angle | an angle that is lower than 90 degrees
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| right angles | an angle that is exactly 90 degrees.
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| obtuse angle | an angle that is greater than 90 degrees
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| straight angle | an angle that is exaclty 180 degrees
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| congruent angles | two angles that are congruent with each other.
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| duplicate an angle | making another line segment exactly like the first one
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| bisect | to divide into two parts
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| angle bisector | to divide a bisector into two parts
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| supplementay angles | the sum of their angle measures is 180
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| complementary angles | the sum of their angle measures is 90 degrees
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| perpendicular | a 90 degree angles
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| midpoint of a segment | the very center
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| segment bisector | the devision of a line segment into two parts
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| perpendicular bisector | A line which cuts a line segment into two equal parts at 90°
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| adjacent angles | Two angles that share a common side and a common vertex, but do not overlap
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| linear pair | Two angles that share a leg and add up to 180°
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| virtical angles | A pair of non-adjacent angles formed by the intersection of two straight lines
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| inductive reasoning | reasoning that involves using specific examples to make a conclusion.
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| deductive reasoning | reasioning that involves using a genral rule to make a conclusion
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| conditional statement | a statement that can be written in the form "if, then"
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| 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."
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| propositioanl variables | a variable which can either be true or false
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| hypothesis | a guesstimation
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| conclusion | answer, or ending to a formula, or question
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| truth value | the truth or falsity of a proposition or statement
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| truth table | A diagram in rows and columns showing how the truth or falsity of a proposition varies with that of its components.
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| postulate | to clame or assume the excistence of somthing without proof
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| theorem | A general proposition not self-evident but proved by a chain of reasoning
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| Euclidean geometry | a system of geometry
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| 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"
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| 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"
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| Reflex Property | The relex property states: "if a is a real number, then a=a"
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| Substitution Property | The substitution property states: "if a and b are real numbers and a=b, then a can be substituted for b."
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| Transitive Property | The Transitive Property states: "If a,b, and c are real numbers and a=b and b=c, then a=c
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| Paragraph proof | A kind of proof in which the steps are written out in complete sentences
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| two-colomn proof | Numbered statements and corresponding reasons that show an argument in logical order.
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| construction proof | proof via construction
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| flow chart proof | proof via a flow chart
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