### Geometric Definitions

Brandt Sanderson

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

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