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26 Cards in this Set

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