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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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