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Term
Definition
point   A dot in a specific location with no dimension  
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line   A straight path with no thickness that continues in both directions  
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plane   a flat surface with no thickness and extends forever  
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line segment   portion of a line consisting of 2 points  
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ray   a portion of a line that starts at a point and continues forever in 1 direction  
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parallel   Lines that lie on the same plane but do not intersect  
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coplaner   Points that lie on the same plane  
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collinear   Points that lie on the same line  
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postulate   a statement that is accepted as true without proof  
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segment addition postulate   if B is between A and C then AB+BC = AC  
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distance formula   (x2-x1)2+(y2-y1)2  
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midpoint   The point that divides the line segment into two segments that have the same length  
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segment bisector   A line, ray, or other figure that passes through the midpoint of a segment  
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angle   figure formed by 2 rays with the same endpoint  
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vertex   common end point  
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rays of angle   side of the angle  
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degrees   common measurement for circular arcs  
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right angle   0<m<A<90  
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acute angle   m<A=90  
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obtuse angle   90 <m<A<180  
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straight angle   m<A = 180  
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angle bisector   a ray that divided an angle into two angles that both have the same measure  
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angle addition postulate   if S is interior of <PQR then m<PQR=m<PQS + m< SQR  
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transformation   a function that changes the position shape and/or size of a figure  
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preimage   A figure that is used as the input of a transformation  
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image   The output  
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rigid motion   a transformation that changes the position of a figure witnout changing the size or shape of the figure  
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conjecture   a statement that is believed to be true  
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Inductive reasoning   The process of reasoning a rule or statement may be true by looking at specific cases  
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deductive reasoning   the process of using logic to prove whether all cases are true  
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theorem   A statement that you can prove is true using a series of logical steps  
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counterexample   an example that shows a conjecture to be false  
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conditional statement   a statement that can be written in the form "if p then q" where p is hypothesis and q is the conclusion  
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linear pair   A pair of adjacent angles whose non common sides are opposite rays.  
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addition property   if a=b then a + c = b + c  
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subtraction property   if a = b then a - c = b - c  
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multi property   if a = b then ac = bc  
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division property   if a = b and c = 0 then a/c = b/c  
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Reflexive property   a = a  
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Symmetric property   If a = b then b = a  
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transitive property   if a = b and b = c then a = c  
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substitution property   if a = b then b can be substituted for a in any expression  
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The linear Pair Theorem   if two angles form a linear pair then they are supplementary m<3 + m<4 = 180  
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