### 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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