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- Prove that the midpoints of the sides of a quadrilateral lie on a . . .
Let us prove that if a quadrilateral is not orthodiagonal, then the midpoints of the quadrilateral are not concyclic Let me use the figure you drew Let $\angle{AOD}=\alpha$ where $\alpha\not=90^\circ$ Since $\angle{PYD}=\alpha$ and $\angle{AXP}=\alpha$, we have $$\angle{XPY}=360^\circ-\angle{PYO}-\angle{PXO}-\angle{XOY}=\alpha $$
- Orthodiagonal quadrilateral - Mathematics Stack Exchange
Is it always possible to construct an orthodiagonal quadrilateral such that the diagonals and perimeter are fixed? More specifically, given 2 fixed diagonals, how is the perimeter of the quadrilate
- $a^2 + b^2 +c^2 +d^2 = 8r^2$ for orthodiagonal quadrilateral
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- Orthodiagonal cyclic quadrilateral - Mathematics Stack Exchange
Orthodiagonal cyclic quadrilateral Ask Question Asked 20 days ago Modified 20 days ago Viewed 45 times
- Please help me finish this proof - Mathematics Stack Exchange
Prove that the midpoints of the sides of a quadrilateral lie on a circle if and only if the quadrilateral is orthodiagonal 5 Proving $(A\times B)^- = A^-\times B^-$ (closure of cartesian product)
- geometry - sum of inradii of a orthodiagonal quadrilateral inscribed in . . .
Consider a quadrilateral with perpendicular diagonals inscribed in a square such that exactly one vertex of the quadrilateral lies on each side of the square
- geometry - ABCD is a cyclic quadrilateral whose two diagonals are . . .
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- geometry - If a convex quadrilateral is inscribed and circumscribed and . . .
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
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