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a location in space with no size , 0 detentions 


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infinite number of points in a strait pathway 


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infinite number of points or lines on a flat surface, 2 dimensions, cant be in a line 


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the collection of all points, 3 dimensions, one must be off the plane 


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points not on the same line 


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points and/or lines on the same plane 


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where things meetor what they have in common 


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a statement we accept as true without proving it 


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absolute value of the difference between two points 


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a beginning point, an end point, and all points in between 


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and end point and all points in a strait path in one direction 


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two rays with a common end point 


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the common end point of two rays 


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a device used to measure angles 


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unit of measure for angles 


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angle between 0 and 90 degrees 


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between 90 and 180 degrees 


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same size and shape without rearranging 


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average of end points, divides segment into 2 equal pieces 


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puts "not" into a sentence 


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drop "if and then" and put "if and only if in the middle 


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switch the if and then statements 


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put "not" into both "if and then" statements 


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switch "if and than" and put "not" in both 


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"then" part of a statement 


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one example that shows a statement is false 


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if A=B and C=D, then A+C = B+D 


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if A=B and C=D, then AC = BD 


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if A=B and C=A, then AC = BD 


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if A=B and C≠0, then A÷C = B÷C 


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if A=B, then A and B may be substituted for each other in any inequality 


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A+(B+C)=(A+B)+C, A(BC)=(AC)C 


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• must be coplanar • share a vertex • share a side • don't share any interior 


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• 2 adjacent angles • Nonshared sides are opposite rays 


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2 lines that intersect to make a right angle 


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2 angles formed by crossing lines, equal to each other 


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on the same plane, 2 lines that never meet 


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noncoplanar lines, not on the same plane, that never intersect 


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a line that intersects two or more lines not at the same point 


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opposite sides of the Transversal 


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• coplanar • not Linear Pair • opposite sides of transversal • between lines 


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• coplanar • not Linear Pair • opposite sides of transversal outside lines 


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• coplanar • not Linear Pair • same side as transversal • make a Linear Pair one inside, one outside lines 


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2 angles not making Linear Pair 


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• Inside lines • Same side as transversal • make Linear Pair coplanar 


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makes Linear Pair with an angle of the triangle 


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• 3 or more coplanar segments • endpoint shared by exactly 2 segments • segments only intersect at endpoint • no segments are Collinear 


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pick 2 points and connect, the segment can go outside of the polygon 

