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Geometry

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Inductive Reasoning   is reasoning that is based on patterns you observe.  
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Conjecture   a conclusion you reach using inductive reasoning  
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Counterexample   is an example for which the conjecture is incorrect  
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Point   like a location  
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Space   set of all points  
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Line   a series of points that extends in two opposite direction without end. You can name a line by any two points on the line, such as. Another way to name a line is with a single lowercase letter such as line t.  
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Collinear Points   points that lie on the same line  
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Plane   is a flat surface that has no thickness. A plane contains many lines and extends without end in the direction of all its lines. You can name a plane by either a single capital letter, or by a least three noncollinear points  
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Coplanar   Points and lines in the same plane  
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Postulate or axiom   is an accepted statement of fact  
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Postulate 1-1   Through any two points there is exactly one line  
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Postulate 1-2   If two lines intersect, then they intersect in exactly one point  
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Postulate 1-3   If two planes intersect, then they intersect in exactly one line  
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Postulate 1-4   Through any tree noncollinear points there is exactly one plane  
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Segment   is the part of a line consisting of two endpoints and all points between them  
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Ray   is the part of a line consisting of one endpoint and all of the points of the line on one side of the endpoints  
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Opposite Rays   are two collinear rays with the same endpoint. Opposite rays always form a line  
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Parallel Lines   coplanar lines that do not intersect  
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Skew Lines   are noncoplanar; therefore, they are not parallel and do not intersect  
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Parallel Planes   are planes that do not intersect  
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Postulate 1-5 Ruler Postulate   The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers  
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Congruent segments   two segments with the same length  
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Midpoint   of a segment is a point that divides a segment into two congruent segments. A midpoint is said to bisect the segment  
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Angle   is formed by two rays with the same endpoint. The rays are the sides of the angle. The endpoint is the vertex of the angle  
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Acute Angle   0 < x < 90  
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Right Angles   x = 90  
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Obtuse Angle   90 < x < 180  
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Straight Angle   = 180  
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Congruent Angles   angles with the same measure  
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Perpendicular Lines   are two lines that intersect to form right angles.  
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Angle Bisector   is a ray that divides an angle into two congruent coplanar angles  
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Perpendicular Bisector   of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint, thereby bisecting the segment into two congruent segments  
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