Question

Is a parallelogram with equal sides necessarily a rhombus? Is one with 4 right angles (or congruent diagonals) necessarily a rectangle?

score 1.5k · Answer 1 · 2019-10-27 11:35:20

1.5k

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Is a parallelogram with equal sides necessarily a rhombus? Is one with 4 right angles (or congruent diagonals) necessarily a rectangle?

Published on 27 Oct 2019 - 11:35

score 37 · Answer 2 · 2019-10-29 01:09:05

37

Views

How to find LC?

Published on 29 Oct 2019 - 1:09

score 541 · Answer 3 · 2019-10-30 11:58:44

541

Views

Cyclic Quadrilateral with an equilateral triangle as a part of it

Published on 30 Oct 2019 - 11:58

score 94 · Answer 4 · 2019-10-31 13:21:13

94

Views

Find the Area of a part of a Parellogram

Published on 31 Oct 2019 - 13:21

score 413 · Answer 5 · 2019-11-21 15:02:59

413

Views

Finding area of Quadrilateral using Triangles

Published on 21 Nov 2019 - 15:02

score 397 · Answer 6 · 2019-11-22 00:28:43

397

Views

Finding the angles and area of unusual shapes

Published on 22 Nov 2019 - 0:28

score 145 · Answer 7 · 2019-11-24 19:41:58

145

Views

Show that $\frac{1}{MA^2}+\frac{1}{MB^2}+\frac{1}{MC^2}+\frac{1}{MD^2}\geq2$ for $M$ inside square $ABCD$ with side length $2$

Published on 24 Nov 2019 - 19:41

score 73 · Answer 8 · 2019-12-01 16:57:29

73

Views

Defining the unknown characteristics of quadrilateral with known angle, known side, variable side

Published on 01 Dec 2019 - 16:57

score 294 · Answer 9 · 2019-12-07 05:37:56

294

Views

How to prove that no quadrilateral exist with three equal angles and increasing sidelengths

Published on 07 Dec 2019 - 5:37

score 298 · Answer 10 · 2019-12-11 16:44:50

298

Views

What is the expected area of a cyclic quadrilateral inscribed in a unit circle?

Published on 11 Dec 2019 - 16:44

score 166 · Answer 11 · 2019-12-20 15:02:15

166

Views

Area of a rhombus in co-ordinate geometry

Published on 20 Dec 2019 - 15:02

score 69 · Answer 12 · 2019-12-26 16:15:12

69

Views

Prove that : $16S^{2}+\left(a^{2}+c^{2}-b^{2}-d^{2}\right)^{2}=4e^{2}f^{2}$

Published on 26 Dec 2019 - 16:15

score 239 · Answer 13 · 2020-01-05 15:46:12

239

Views

$ABCD$ is a trapezium, $MN=\dfrac{AB-CD}{2}$ where $M,N$ are the midpoints of $AB,CD$, respectively; show $\angle BAD+\angle ABC=90^\circ$

Published on 05 Jan 2020 - 15:46

score 127 · Answer 14 · 2026-03-23 04:50:05

127

Views

Permutation polygon

Published on 23 Mar 2026 - 4:50

score 436 · Answer 15 · 2020-01-17 12:59:34

436

Views

Point $P$ in parallelogram $ABCD$ is such that $\angle APB+\angle CPD=180^\circ$. Prove $AP\cdot CP+BP\cdot DP=AB\cdot BC$

Published on 17 Jan 2020 - 12:59

List Question

Is a parallelogram with equal sides necessarily a rhombus? Is one with 4 right angles (or congruent diagonals) necessarily a rectangle?

How to find LC?

Cyclic Quadrilateral with an equilateral triangle as a part of it

Find the Area of a part of a Parellogram

Finding area of Quadrilateral using Triangles

Finding the angles and area of unusual shapes

Show that $\frac{1}{MA^2}+\frac{1}{MB^2}+\frac{1}{MC^2}+\frac{1}{MD^2}\geq2$ for $M$ inside square $ABCD$ with side length $2$

Defining the unknown characteristics of quadrilateral with known angle, known side, variable side

How to prove that no quadrilateral exist with three equal angles and increasing sidelengths

What is the expected area of a cyclic quadrilateral inscribed in a unit circle?

Area of a rhombus in co-ordinate geometry

Prove that : $16S^{2}+\left(a^{2}+c^{2}-b^{2}-d^{2}\right)^{2}=4e^{2}f^{2}$

$ABCD$ is a trapezium, $MN=\dfrac{AB-CD}{2}$ where $M,N$ are the midpoints of $AB,CD$, respectively; show $\angle BAD+\angle ABC=90^\circ$

Permutation polygon

Point $P$ in parallelogram $ABCD$ is such that $\angle APB+\angle CPD=180^\circ$. Prove $AP\cdot CP+BP\cdot DP=AB\cdot BC$

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