In Euclidean geometry, an orthodiagonal quadrilateral is a quadrilateral in which the diagonals cross at right angles. In other words, it is a four-sided...

an orthodiagonal quadrilateral. The result is: p.222  K = 1 2 ( a c + b d ) . {\displaystyle K={\tfrac {1}{2}}(ac+bd).} In a cyclic orthodiagonal quadrilateral...

Bicentric quadrilateral: it is both tangential and cyclic. Orthodiagonal quadrilateral: the diagonals cross at right angles. Equidiagonal quadrilateral: the...

exactly the tangential quadrilaterals that are also orthodiagonal. A right kite is a kite with a circumcircle. If a quadrilateral is both tangential and...

are perpendicular (an orthodiagonal parallelogram) a quadrilateral with four sides of equal length (by definition) a quadrilateral in which the diagonals...

connection with quadrilaterals. A kite may also be called a dart, particularly if it is not convex. Every kite is an orthodiagonal quadrilateral (its diagonals...

quadrilaterals: a quadrilateral is equidiagonal if and only if its Varignon parallelogram is orthodiagonal (a rhombus), and the quadrilateral is orthodiagonal if and...

quadrilateral are perpendicular, that is, if the quadrilateral is an orthodiagonal quadrilateral.: p. 14  : p. 169  For a self-crossing quadrilateral...

The first of these three means that the contact quadrilateral WXYZ is an orthodiagonal quadrilateral. If E, F, G, H are the midpoints of WX, XY, YZ, ZW...

maltitudes of a quadrilateral is a perpendicular to a side through the midpoint of the opposite side. An orthodiagonal quadrilateral is a quadrilateral whose diagonals...

equidiagonal quadrilaterals and orthodiagonal quadrilaterals. Older names for the same shape include pseudo-square, and skewsquare. In any quadrilateral, the...

it is an orthodiagonal quadrilateral (its diagonals cross at right angles). The quadrilaterals that are both equidiagonal and orthodiagonal are the midsquare...

opposite sides of the chord, then they are supplementary. For a cyclic quadrilateral, the exterior angle is equal to the interior opposite angle. An inscribed...

asinorum Quadrilateral Bicentric quadrilateral Cyclic quadrilateral Equidiagonal quadrilateral Kite (geometry) Orthodiagonal quadrilateral Rhombus Rectangle...

since the diagonals are perpendicular (so a right kite is an orthodiagonal quadrilateral with area K = p q 2 {\displaystyle K={\frac {pq}{2}}} ), the...

"anticenter". Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular...

in the figure. These four points WXYZ form the vertices of an orthodiagonal quadrilateral. By applying the Pythagorean theorem to the right triangle AWP...

In geometry, Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular...

circle. This theorem is known as power of a point. A convex quadrilateral is orthodiagonal (has perpendicular diagonals) if and only if the midpoints of...

"anticenter". Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular...

polyhedron is orthodiagonal anti-involutive, meaning the planar angles has conditions such as all quadrilaterals are spherically orthodiagonal (any intersecting...

connecting the centers of opposite squares form a quadrilateral that is both equidiagonal and orthodiagonal (that is, whose diagonals are equal in length...