List questions from geometric-transformation

Published on 16 Nov 2017 - 16:36

78

Views

I am having difficulty with the algebra related to a coordinate geometry question.

Published on 23 Feb 2026 - 0:48

62

Views

Heights and circumcircle

Published on 10 Dec 2017 - 18:57

294

Views

If third tangent of Parabola at $R$ meets other two tangents at $P'$ and $Q'$ find $\frac{TP'}{TP}+\frac{TQ'}{TQ}$

Published on 14 Dec 2017 - 14:46

687

Views

Quadrilateral problem with midpoints of diagonals

Published on 26 Dec 2017 - 16:30

778

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Euler's Line of a medial triangle

Published on 14 May 2012 - 4:34

4.6k

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What is the sense of bottom row of affine transform matrix?

Published on 20 Mar 2013 - 15:34

234

Views

2012 EGMO P7: Show that the lines $KH$, $EM$ and $BC$ are concurrent [ Proof Verification needed]

Published on 01 Aug 2020 - 11:49

62

Views

Is $\phi =\angle A"OB" = \measuredangle(AB,A"B")=\measuredangle(A'B',A"B")$? [Doubt]

Published on 02 Aug 2020 - 4:39

192

Views

INMO $2020$ P1: Prove that $PQ$ is the perpendicular bisector of the line segment $O_1O_2$.

Published on 02 Aug 2020 - 16:24

475

Views

Show these three circles share their external common tangent lines

Published on 23 Feb 2026 - 0:47

55

Views

In a square, similarity of triangles obtained by joining a vertex to a midpoint

Published on 24 Feb 2026 - 0:52

318

Views

CGMO 2020: Prove that $X, P, Q, Y$ are concyclic.

Published on 23 Feb 2026 - 8:24

49

Views

Transforming a disk to a ring

Published on 11 Aug 2020 - 11:37

336

Views

To show the center of homothety of the biggest and smallest circle lies in the common tangent over T

Published on 23 Feb 2026 - 2:43

List Question

Locating the third vertex of an equilateral triangle

I am having difficulty with the algebra related to a coordinate geometry question.

Heights and circumcircle

If third tangent of Parabola at $R$ meets other two tangents at $P'$ and $Q'$ find $\frac{TP'}{TP}+\frac{TQ'}{TQ}$

Quadrilateral problem with midpoints of diagonals

Euler's Line of a medial triangle

What is the sense of bottom row of affine transform matrix?

2012 EGMO P7: Show that the lines $KH$, $EM$ and $BC$ are concurrent [ Proof Verification needed]

Is $\phi =\angle A"OB" = \measuredangle(AB,A"B")=\measuredangle(A'B',A"B")$? [Doubt]

INMO $2020$ P1: Prove that $PQ$ is the perpendicular bisector of the line segment $O_1O_2$.

Show these three circles share their external common tangent lines

In a square, similarity of triangles obtained by joining a vertex to a midpoint

CGMO 2020: Prove that $X, P, Q, Y$ are concyclic.

Transforming a disk to a ring

To show the center of homothety of the biggest and smallest circle lies in the common tangent over T

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