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Geometry Review Clif

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
parallel   lines that do not intersect have the same slope  
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perpendicular lines   lines that intersect to form right angles  
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alternate interior angles   two non-adjacent angles that lie on the opposite sides of a transversal between two lines that the transversal intersects (a description of the location of the angles);  
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arc   part of a circle contained between two points located on the circle  
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arc length   the length in linear measure of an arc of a circle; the product of the ratio of the arc measure and 360º and the circumference of the circle  
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bisector (of a line segment)   a line, segment, ray, or plane that intersects a segment at its midpoint  
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bisector (of an angle)   a line or ray that divides the angle into two congruent angles  
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central angle   an angle whose vertex is the center of the circle and whose sides are radii of the circle.  
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chord   a line segment whose endpoints lie on the circle  
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circle   all points lying in one plane that are equidistant from a fixed point (the center)  
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conditional statement   A statement that can be written in the form “If p, then q.” p is the hypothesis and q is the conclusion. Symbolically, if p, then q can be written as p-->q.  
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contrapositive   the hypothesis and conclusion are both reversed and negated. “If p, then q.” becomes “If not q, then not p.”  
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converse   the hypothesis and conclusion are reversed. “If p, then q.” becomes “If q, then p.”  
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convex polygon   a polygon in which no diagonal contains points outside of the polygon.  
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corresponding angles (parallel lines)   two angles that lie on the same side of a transversal, in corresponding positions with respect to the two lines that the transversal intersects.  
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corresponding angles (in polygons)   angles that are in the same position in different plane figures  
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cosine   a trigonometric function abbreviated cos In a right triangle, the ratio of the length of the leg adjacent to the reference angle to the length of the hypotenuse  
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exterior angle of a polygon   an angle formed when one side of a polygon is extended; the angle is adjacent to an interior angle of the polygon  
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Law of Syllogism   From (p implies q) and (q implies r) we conclude (p implies r).  
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Law of Detachment   p and (p implies q) we conclude q.  
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linear pair   two adjacent angles whose non-common sides are opposite rays; the sum of these angles is 180  
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major arc   an arc that measures 180º or more  
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midpoint   the point halfway between the endpoints of a segment divides a segment into two congruent segments  
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minor arc   an arc that measures less than 180º  
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orthogonal drawings   the two dimensional top view, front view, and right-side view of a three-dimensional drawing  
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platonic solids   the five regular polyhedra: tetrahedron, hexahedron, octahedron, dodecahedron, or icosahedron  
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proof   a valid argument in which all of the premises are true  
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regular polygon   a polygon that has congruent sides and congruent angles  
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same-side interior angles (consecutive angles)   two angles that lie on the same side of a transversal and between the lines cut by the transversal, in corresponding positions with respect to the two lines that the transversal intersects.  
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scale   the ratio of any length in a scale drawing to the corresponding actual length; the lengths may be in different units  
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secant   a line, ray, or segment that intersects a circle at two points (i.e. that contains a chord)  
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sine   a trigonometric function abbreviated sin. In a right triangle, the ratio of the length of the leg opposite the reference angle to the length of the hypotenuse.  
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skew lines   non-coplanar lines that do not intersect  
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tangent (to a circle)   a line that intersects a circle in exactly one point  
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tangent (trigonometric function)   a trigonometric function abbreviated tan; In a right triangle, the ratio of the length of the leg opposite the reference angle to the length of the leg adjacent to the given angle.  
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transversal   a line that intersects two or more other lines in the same plane at different points  
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