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26 Cards in this Set
- Front
- Back
Collinear Points
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Points are collinear if there is a line that contains all of them.
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Noncollinear Points
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Points are noncollinear if no single line contains them all.
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Coplanar Points
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Points are coplanar if there is a plane that contains all of them.
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Concurrent Lines
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Lines are concurrent if they contain the same point.
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Polygon
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A polygon is a two-dimensional figure bounded by line segments and lies in a plane.
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Polyhedron
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A polyhedron is a three-dimensional figure bounded by polygons and exists in space.
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Betweenness of Points
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A point is between two other points on the same line iff its coordinate is between their coordinates.
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Betweenness of Rays
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A ray is between two others in the same half-rotation iff its coordinate is between their coordinates.
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Midpoint of a Line Segment
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A point is the midpoint of a line segment iff it divides the line segment into two equal segments.
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Bisect of an Angle
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A line bisects an angle iff it divides the angle into two equal angles.
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Corollary
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A corollary is a theorem that can be easily proved as a consequence of a postulate or another theorem.
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Complementary Angles
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Two angles are complementary iff their sum is 90 degrees.
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Supplementary Angles
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Two angles are supplementary iff their sum is 180 degrees.
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Linear Pairs
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Two angles are a linear pair iff they have a common side and their other sides are opposite rays.
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Vertical Angles
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Two angles are vertical angles iff the sides of one angle are opposite rays to the sides of the other.
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Perpendicular Lines
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Two lines are perpendicular iff they form a right angle.
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Parallel Lines
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Two lines are parallel iff they lie in the same plane and do not intersect.
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Polygon
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A polygon is a connected set of at least three line segments in the same plane, such that each segment intersects exactly two others, one at each endpoint.
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Congruent Triangles
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Two triangles are congruent iff there is a correspondence between their vertices such that all of their corresponding sides and angles are equal.
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Scalene Triangles
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A triangle is scalene iff it has no equal sides.
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Isosceles Triangles
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A triangle is isosceles iff it has at least two equal sides.
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Equilateral Triangles
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A triangle is equilateral iff all of its sides are equal.
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Obtuse Triangles
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A triangle is obtuse iff it has an obtuse angle.
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Right Triangles
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A triangle is right iff it has a right angle.
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Acute Triangles
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A triangle it acute iff all of its angles are acute.
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Equiangular Triangles
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A triangle is equiangular iff all of its angles are equal.
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