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Geometric Definitions

Brandt Sanderson

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Square a circle drawn around a polygon so that each vertex of the polygon lies on the circle
Radius an angle with measure of 180 degrees (2 wds)
Obtuse triangle an angle with measure of 90 degrees (2 wds)
Cube a rectangular solid with square faces
Scalene a segment joining two non-consecutive vertices of a polygon
Equilateral any perpendicular segment connecting a vertex to an opposite side
Right angle two angles in a plane that have a common vertex and a common side but no common interior points (2 wds)
Rhombus the set of all points in space that are a given distance from a given point
Hexagon a quadrilateral with exactly one pair of parallel sides
Theorem a triangle with at least two congruent sides
Supplementary a segment whose endpoints lie on a circle
Pentagon two triangles with sides of equal length and angles of equal measure (2 wds)
Vertical angles a line, segment or ray that intersects a segment or angle and forms two congruent segments or angles
Sphere an arc of a circle cut off by the diameter
Transversal the figure formed by three segments joining noncollinear points
Complementary two points on a line and all the points between them
Segment an angle with measure between 90 and 180 degrees (2 wds)
Chord in a right triangle a side adjacent to the right angle
Perpendicular lines segments that have equal length (2 wds)
Diameter an equation stating that two ratios are equal
Secant an angle formed by two radii drawn to consecutive vertices (2 wds)
Postulate the angle formed when one side of a polygon is extended (2 wds)
Acute a chord that contains the center of a circle
Hypotenuse a statement that can be proved
Circumscribed a quadrilateral with four congruent sides
Adjacent angles points all in one plane
Parallel points all in one line
Semicircle the distance from the center of a circle to any of its points
Midpoint a 4-sided polygon
Straight angle a quadrilateral with four right angles
Similar a triangle with one obtuse angle (2 wds)
Trapezoid two lines that intersect to form right angles (2 wds)
Rectangle a 6-sided polygon
Parallelogram the point that divides the segment into two congruent segments
Leg two angles whose sides form two pairs of opposite rays (2 wds)
Quadrilateral a polygon that is both equiangular and equilateral
Collinear a triangle with no sides congruent
Median a segment from the vertex to the midpoint of the opposite side
Coplanar a quadrilateral with four right angles and four congruent sides
Central angle a triangle with one right angle (2 wds)
Tangent lines that are not coplanar
Regular a triangle with all sides congruent
Polygon a line in the plane that intersects a circle in exactly one point
Congruent segments a line that contains a chord
Exterior angle a triangle with three acute angles
Skew in a right triangle the side opposite the right angle
Congruent triangles a figure formed by two rays that have the same endpoint
Triangle a quadrilateral with both pairs of opposite sides parallel
Obtuse angle two angles whose measures have the sum 180 degrees
Altitude a 5-sided polygon
Bisector a plane figure formed by coplanar segments such that (1) each segment intersects exactly two other segments; and (2) no two segments with a common endpoint are collinear
Proportion coplanar lines that do not intersect
Diagonal two angles whose measures have the sum of 90 degrees
Isosceles two triangles with congruent angles and corresponding sides in proportion
Right triangle a line that intersects two or more coplanar lines in different points
Angle a statement that is accepted without proof

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