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Geometry key terms

key terms found in geometry

QuestionAnswer
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
Created by: 100000050191654