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Vocabulary

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Geometry Vocab 1
Definitions
line segment   consists of two endpoints and all the points that lie on a line between those two endpoints  
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ray   consists of an initial point and all the points on a line to one side of that point; a half line  
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opposite rays   two rays that share the same initial point and form a straight line  
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collinear points   points that are on the same line  
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angle   consists of two different rays that have the same initial point  
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acute angle   an angle with a measure greater than 0 degrees and less than 90 degrees  
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right angle   an angle with a measure of 90 degrees  
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obtuse angle   an angle with a measure greater than 90 degrees and less than 180 degrees  
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straight angle   an angle that measures 180 degrees  
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adjacent angles   two angles that share a common vertex and side, but have no common interior points  
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congruent segments   segments that have the same length  
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congruent angles   angles that have the same measure  
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midpoint of a segment   the point that divides the segment into two congruent segments  
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segment bisector   a segment, ray, line, or plane that intersects a segment at its midpoint  
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angle bisector   a ray that divides the angle into two congruent angles  
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perpendicular lines   two lines that intersect to form a right angle  
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conditional statement   a statement made up of two parts, the hypothesis (if p) and the conclusion (then q)  
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converse of a conditional statement   formed by interchanging the hypothesis and the conclusion  
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counterexample   an example of a conditional statement in which the hypothesis is fulfilled and the conclusion is not fulfilled proving the statement to be false  
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biconditional statement   p if and only if q; equivalent to writing p implies q and q implies p  
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vertical angles   angles whose sides form two pairs of opposite rays  
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linear pair   two adjacent angles whose noncommon sides form opposite rays  
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complementary angles   two angles whose sum equals 90 degrees  
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supplementary angles   two angles whose sum equals 180 degrees  
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parallel lines   coplanar lines that do not intersect  
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intersecting lines   coplanar lines that have exactly one point in common  
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oblique lines   intersecting lines that are not perpendicular  
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coincident lines   the same line  
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contrapositive of p implies q   not q implies not p; true if and only if p implies q is true  
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Law of Syllogism   p implies q, q implies r, therefore p implies r  
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Law of Detatchment   p implies q, p is true, therefore q is true  
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transversal   a line that intersects two or more coplanar lines at different points  
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corresponding angles   angles that occupy corresponding positions when a transversal intersects two lines  
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alternate interior angles   two angles that lie between two lines intersected by a transversal and on opposite sides of the transversal  
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consecutive interior angles   two angles that lie between two lines intersected by a transversal on the same side of the transversal  
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skew lines   lines that do not lie in the same plane  
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vector   a quantity that has both quantity and magnitude  
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parallel vectors   vectors that have the same or opposite direction  
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congruent triangles   triangles whose corresponding angles and sides are congruent  
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equilateral triangle   a triangle with three congruent sides  
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isosceles triangle   a triangle with at least two congruent sides  
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scalene triangle   a triangle with no congruent sides  
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acute triangle   a triangle with three acute angles  
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rignt triangle   a triangle with one right angle  
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obtuse triangle   a triangle with exactly on obtuse angle  
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equiangular triangle   a triangle with three congruent angles  
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legs   the sides of a right triangel that form the right angle; the two congruent sides in an isosceles triangle  
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hypotenuse   the side opposite the right angle in a right triangle  
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base   the noncongruent side in an isosceles triangle  
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interior angles of a triangle   the angles inside the triangle  
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exterior angles of a triangle   the angles adjacent to the interior angles  
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