Question

If line PQ is tangent to circle R at point Q, and line PS is tangent to ⊙R at point S, what is the perimeter of quadrilateral PQRS?

score 1.9k · Answer 1 · 2021-04-12 23:22:54

1.9k

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If line PQ is tangent to circle R at point Q, and line PS is tangent to ⊙R at point S, what is the perimeter of quadrilateral PQRS?

Published on 12 Apr 2021 - 23:22

score 93 · Answer 2 · 2026-02-24 03:49:39

93

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Petr-Douglas-Neumann theorem - centroids don't match

Published on 24 Feb 2026 - 3:49

score 288 · Answer 3 · 2021-04-29 22:23:34

288

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Problem regarding circle inscribed in rectangle

Published on 29 Apr 2021 - 22:23

score 44 · Answer 4 · 2021-05-02 00:21:43

44

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Parallelogram involving the incenter of a Right Triangle

Published on 02 May 2021 - 0:21

score 72 · Answer 5 · 2021-05-11 23:22:33

72

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The two pairs of sides of an inscribed quadrilateral meet at $G$ & $H$; angle bisectors at $G$ & $H$ meet at $K$. Prove $\angle GKH$ is a right angle.

Published on 11 May 2021 - 23:22

score 77 · Answer 6 · 2021-05-19 08:08:40

77

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Minimal area of quadrilateral divided by its shorter diagonal

Published on 19 May 2021 - 8:08

score 477 · Answer 7 · 2021-05-19 13:12:02

477

Views

A parallelogram and a circle

Published on 19 May 2021 - 13:12

score 26 · Answer 8 · 2021-05-30 09:29:22

26

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Points on a diagonal and a side of a parallelogram

Published on 30 May 2021 - 9:29

score 205 · Answer 9 · 2026-03-27 18:49:36

205

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Ambiguity in the property that opposite angles of a cyclic quadrilaterals are supplementary

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score 409 · Answer 10 · 2026-03-30 11:04:10

409

Views

Property of the Anticenter of a cyclic quadrilateral

Published on 30 Mar 2026 - 11:04

score 482 · Answer 11 · 2021-06-12 22:37:20

482

Views

Angle at intersection by diagonals of a quadrilateral

Published on 12 Jun 2021 - 22:37

score 188 · Answer 12 · 2026-03-25 18:53:41

188

Views

How can you detect intersection between any two quadrilaterals in 2D?

Published on 25 Mar 2026 - 18:53

score 140 · Answer 13 · 2021-06-24 22:43:07

Prove that in quadrilateral $ABCD$, $|\angle DAB|=|\angle ABC|=|\angle BCD|$, $|DA|=|DC|$, if $|BE|=|DA|$, $CE$ is the angle bisector of $\angle BCD$

score 594 · Answer 14 · 2021-07-09 09:46:16

594

Views

Quadrilateral in which diagonal is partially outside?

Published on 09 Jul 2021 - 9:46

score 68 · Answer 15 · 2021-07-31 17:11:13

68

Views

Do the rectangles that circumscribe and share edges with a rhombus have identical dimensions?

Published on 31 Jul 2021 - 17:11

List Question

If line PQ is tangent to circle R at point Q, and line PS is tangent to ⊙R at point S, what is the perimeter of quadrilateral PQRS?

Petr-Douglas-Neumann theorem - centroids don't match

Problem regarding circle inscribed in rectangle

Parallelogram involving the incenter of a Right Triangle

The two pairs of sides of an inscribed quadrilateral meet at $G$ & $H$; angle bisectors at $G$ & $H$ meet at $K$. Prove $\angle GKH$ is a right angle.

Minimal area of quadrilateral divided by its shorter diagonal

A parallelogram and a circle

Points on a diagonal and a side of a parallelogram

Ambiguity in the property that opposite angles of a cyclic quadrilaterals are supplementary

Property of the Anticenter of a cyclic quadrilateral

Angle at intersection by diagonals of a quadrilateral

How can you detect intersection between any two quadrilaterals in 2D?

Prove that in quadrilateral $ABCD$, $|\angle DAB|=|\angle ABC|=|\angle BCD|$, $|DA|=|DC|$, if $|BE|=|DA|$, $CE$ is the angle bisector of $\angle BCD$

Quadrilateral in which diagonal is partially outside?

Do the rectangles that circumscribe and share edges with a rhombus have identical dimensions?

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