Question

Volume of an Irregular Octahedron from edge lengths?

score 1.4k · Answer 1 · 2018-12-23 20:34:37

1.4k

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Volume of an Irregular Octahedron from edge lengths?

Published on 23 Dec 2018 - 20:34

score 639 · Answer 2 · 2018-12-27 18:30:20

639

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A line segment with a length of 24 makes a 90-degree angle with one of the legs of an isosceles trapezoid. What is the area of this Trapezoid?

Published on 27 Dec 2018 - 18:30

score 80 · Answer 3 · 2018-12-28 09:49:32

80

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BdMO - 2018 Regional - Geometry 9

Published on 28 Dec 2018 - 9:49

score 679 · Answer 4 · 2018-12-28 18:53:38

679

Views

Does the equality of the sum of opposite sides in a quadrilateral necessarily imply the existence of an inscribed circle?

Published on 28 Dec 2018 - 18:53

score 605 · Answer 5 · 2019-01-08 12:32:24

605

Views

Construct a quadrilateral, not a parallelogram, in which pair of opposite angles and a pair of opposite sides are equal.

Published on 08 Jan 2019 - 12:32

score 127 · Answer 6 · 2019-01-08 17:27:15

127

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Find area of quadrilateral in triangle.

Published on 08 Jan 2019 - 17:27

score 84 · Answer 7 · 2019-01-11 10:18:45

84

Views

Show that if $AR$ intersects midperpendicular of $MN$ at $X$, then $X\in(I)$

Published on 11 Jan 2019 - 10:18

score 481 · Answer 8 · 2019-01-11 10:38:09

481

Views

Where does this property involving quadrilaterals come from?

Published on 11 Jan 2019 - 10:38

score 155 · Answer 9 · 2019-01-21 02:02:37

155

Views

How to calculate the co-ordinates of a quadrilateral knowing the side lengths

Published on 21 Jan 2019 - 2:02

score 141 · Answer 10 · 2019-02-02 16:10:47

141

Views

A Quadrilateral (The National Mathematical Olympiad in Bulgaria)

Published on 02 Feb 2019 - 16:10

score 607 · Answer 11 · 2019-02-05 00:07:26

607

Views

Let $ABCD$ be a cyclic convex quadrilateral such that $AD + BC = AB$. Prove that the bisectors of the angles $ADC$ and $BCD$ meet on the line $AB$.

Published on 05 Feb 2019 - 0:07

score 237 · Answer 12 · 2019-02-09 15:03:23

237

Views

Parallel lines & squares

Published on 09 Feb 2019 - 15:03

score 382 · Answer 13 · 2019-02-12 13:17:12

382

Views

Prove a figure is a cyclic quadrilateral

Published on 12 Feb 2019 - 13:17

score 259 · Answer 14 · 2019-02-13 08:46:11

259

Views

4-gon with two opposite sides congruent and two opposite angles congruent: necessarily a parallelogram?

Published on 13 Feb 2019 - 8:46

score 137 · Answer 15 · 2019-02-13 18:10:45

137

Views

A line segment joins the middle points of each diagonal of a quadrilateral with known sides. What is sum of the squares of the diagonals?

Published on 13 Feb 2019 - 18:10

List Question

Volume of an Irregular Octahedron from edge lengths?

A line segment with a length of 24 makes a 90-degree angle with one of the legs of an isosceles trapezoid. What is the area of this Trapezoid?

BdMO - 2018 Regional - Geometry 9

Does the equality of the sum of opposite sides in a quadrilateral necessarily imply the existence of an inscribed circle?

Construct a quadrilateral, not a parallelogram, in which pair of opposite angles and a pair of opposite sides are equal.

Find area of quadrilateral in triangle.

Show that if $AR$ intersects midperpendicular of $MN$ at $X$, then $X\in(I)$

Where does this property involving quadrilaterals come from?

How to calculate the co-ordinates of a quadrilateral knowing the side lengths

A Quadrilateral (The National Mathematical Olympiad in Bulgaria)

Let $ABCD$ be a cyclic convex quadrilateral such that $AD + BC = AB$. Prove that the bisectors of the angles $ADC$ and $BCD$ meet on the line $AB$.

Parallel lines & squares

Prove a figure is a cyclic quadrilateral

4-gon with two opposite sides congruent and two opposite angles congruent: necessarily a parallelogram?

A line segment joins the middle points of each diagonal of a quadrilateral with known sides. What is sum of the squares of the diagonals?

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