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Perpendicular bisector construction of a quadrilateral, the Glossary

Index Perpendicular bisector construction of a quadrilateral

In geometry, the perpendicular bisector construction of a quadrilateral is a construction which produces a new quadrilateral from a given quadrilateral using the perpendicular bisectors to the sides of the former quadrilateral.[1]

Table of Contents

  1. 8 relations: Alexander Bogomolny, Circumcircle, Geometry, Homothety, Isogonal conjugate, Quadrilateral, Similarity (geometry), Vertex (geometry).

  2. Quadrilaterals

Alexander Bogomolny

Alexander Bogomolny (January 4, 1948 July 7, 2018) was a Soviet-born Israeli-American mathematician.

See Perpendicular bisector construction of a quadrilateral and Alexander Bogomolny

Circumcircle

In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices.

See Perpendicular bisector construction of a quadrilateral and Circumcircle

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

See Perpendicular bisector construction of a quadrilateral and Geometry

Homothety

In mathematics, a homothety (or homothecy, or homogeneous dilation) is a transformation of an affine space determined by a point S called its center and a nonzero number k called its ratio, which sends point X to a point X' by the rule Using position vectors: In case of S.

See Perpendicular bisector construction of a quadrilateral and Homothety

Isogonal conjugate

In geometry, the isogonal conjugate of a point with respect to a triangle is constructed by reflecting the lines about the angle bisectors of respectively.

See Perpendicular bisector construction of a quadrilateral and Isogonal conjugate

Quadrilateral

In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). Perpendicular bisector construction of a quadrilateral and quadrilateral are quadrilaterals.

See Perpendicular bisector construction of a quadrilateral and Quadrilateral

Similarity (geometry)

In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other.

See Perpendicular bisector construction of a quadrilateral and Similarity (geometry)

Vertex (geometry)

In geometry, a vertex (vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect.

See Perpendicular bisector construction of a quadrilateral and Vertex (geometry)

See also

Quadrilaterals

References

[1] https://en.wikipedia.org/wiki/Perpendicular_bisector_construction_of_a_quadrilateral