Question

Finding angle in the isosceles triangle

score 154 · Answer 1 · 2019-06-22 06:46:45

154

Views

Finding angle in the isosceles triangle

Published on 22 Jun 2019 - 6:46

score 193 · Answer 2 · 2019-06-25 10:52:34

193

Views

Two circles meet at $A$ (and $B$), and their common tangents meet at $O$. Show that $\overline{OA}$ bisects the angle made by the two tangents at $A$.

Published on 25 Jun 2019 - 10:52

score 90 · Answer 3 · 2019-07-01 08:50:15

90

Views

In a $\Delta ABC$ prove: $\angle AST=\angle OSB$ if $T$ is the midpoint of $AH$ and $S=BC \cap t$ ($t$ = tangent line in $A$ to a circumcircle)

Published on 01 Jul 2019 - 8:50

score 106 · Answer 4 · 2019-07-02 15:25:07

106

Views

Given equilateral $\triangle ABC$ and $M$ at distances $3$, $5$, $4$ from $A$, $B$, $C$, find $\angle AMC$.

Published on 02 Jul 2019 - 15:25

score 814 · Answer 5 · 2026-03-22 21:57:26

814

Views

Olympiad Geometry | Homothety 2

Published on 22 Mar 2026 - 21:57

score 51 · Answer 6 · 2019-07-04 20:03:05

$AD, BE, CF$ are altitudes in $ABC$. $P,Q$ are points on lines $BC$ and $AB$ so $QP =PF$ and $R$ on $AC$ so $RP =CP$. Prove $ QDRA$ is a cyclic

score 106 · Answer 7 · 2019-07-21 10:22:14

106

Views

Transformation question confusion

Published on 21 Jul 2019 - 10:22

score 305 · Answer 8 · 2019-08-16 10:45:10

305

Views

Four touching circles and one common tangent

Published on 16 Aug 2019 - 10:45

score 738 · Answer 9 · 2019-08-17 07:47:04

738

Views

Coordinate axes transformation

Published on 17 Aug 2019 - 7:47

score 3.3k · Answer 10 · 2019-08-21 19:33:30

3.3k

Views

A square inside an equilateral triangle

Published on 21 Aug 2019 - 19:33

score 685 · Answer 11 · 2019-09-14 16:20:46

685

Views

Geometry - Prove a right triangle resulting from three inscribed circles

Published on 14 Sep 2019 - 16:20

score 396 · Answer 12 · 2019-10-01 21:38:40

396

Views

Is there exists such figure $A$ on plane $E^2$ which isometry group is isomorphic to $\mathbb{Z}_2 \oplus \mathbb{Z}_2 \oplus \mathbb{Z}_2$

Published on 01 Oct 2019 - 21:38

score 472 · Answer 13 · 2026-03-24 23:42:00

472

Views

Transformation between 2D coordinate systems

Published on 24 Mar 2026 - 23:42

score 860 · Answer 14 · 2014-08-08 17:08:30

860

Views

Construction of an equilateral triangle from two equilateral triangles with a shared vertex

Published on 08 Aug 2014 - 17:08

score 186 · Answer 15 · 2026-03-06 18:03:50

186

Views

The uniqueness of homogeneous matrices of some geometric transformations

Published on 06 Mar 2026 - 18:03

List Question

Finding angle in the isosceles triangle

Two circles meet at $A$ (and $B$), and their common tangents meet at $O$. Show that $\overline{OA}$ bisects the angle made by the two tangents at $A$.

In a $\Delta ABC$ prove: $\angle AST=\angle OSB$ if $T$ is the midpoint of $AH$ and $S=BC \cap t$ ($t$ = tangent line in $A$ to a circumcircle)

Given equilateral $\triangle ABC$ and $M$ at distances $3$, $5$, $4$ from $A$, $B$, $C$, find $\angle AMC$.

Olympiad Geometry | Homothety 2

$AD, BE, CF$ are altitudes in $ABC$. $P,Q$ are points on lines $BC$ and $AB$ so $QP =PF$ and $R$ on $AC$ so $RP =CP$. Prove $ QDRA$ is a cyclic

Transformation question confusion

Four touching circles and one common tangent

Coordinate axes transformation

A square inside an equilateral triangle

Geometry - Prove a right triangle resulting from three inscribed circles

Is there exists such figure $A$ on plane $E^2$ which isometry group is isomorphic to $\mathbb{Z}_2 \oplus \mathbb{Z}_2 \oplus \mathbb{Z}_2$

Transformation between 2D coordinate systems

Construction of an equilateral triangle from two equilateral triangles with a shared vertex

The uniqueness of homogeneous matrices of some geometric transformations

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