List questions from geometric-transformation

Published on 25 Mar 2026 - 11:40

829

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How do you prove that an image preserving barycentric coordinates w.r.t two triangles is an affine transformation?

Published on 22 Mar 2026 - 5:07

1.4k

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Composite of two rotations with different centers

Published on 17 Mar 2026 - 19:07

185

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Prove that three points in a rhombus are collinear

Published on 22 Mar 2026 - 10:41

598

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Rotation matrix about any custom axis

Published on 19 Mar 2026 - 19:10

265

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Construct a square with vertices on a given point, line, and circle.

Published on 22 Mar 2026 - 13:03

135

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Show that this homothety takes $K$ to $M$

Published on 22 Mar 2026 - 13:32

884

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Quad to quad transformation

Published on 21 Mar 2026 - 18:42

2.8k

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If $|z| < 1$, prove that $\Re \left(\frac{1}{1 - z} \right) > \frac{1}{2}$.

Published on 20 Mar 2026 - 2:00

728

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A geometry problem with the reflection of the incenter

Published on 21 Mar 2026 - 14:49

108

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Why are circles homothetic in this problem?

Published on 22 Mar 2026 - 8:45

131

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Prove that $MX=MY$.

Published on 25 Mar 2026 - 11:09

117

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Constructing a triangle with given $\alpha, a, m_b$.

Published on 25 Mar 2026 - 4:07

394

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A well-known lemma about curvilinear circles!

Published on 25 Mar 2026 - 11:11

844

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Use complex numbers to prove that the composition of rotations is another rotation

Published on 22 Mar 2026 - 1:42

List Question

Measure of the angle

How do you prove that an image preserving barycentric coordinates w.r.t two triangles is an affine transformation?

Composite of two rotations with different centers

Prove that three points in a rhombus are collinear

Rotation matrix about any custom axis

Construct a square with vertices on a given point, line, and circle.

Show that this homothety takes $K$ to $M$

Quad to quad transformation

If $|z| < 1$, prove that $\Re \left(\frac{1}{1 - z} \right) > \frac{1}{2}$.

A geometry problem with the reflection of the incenter

Why are circles homothetic in this problem?

Prove that $MX=MY$.

Constructing a triangle with given $\alpha, a, m_b$.

A well-known lemma about curvilinear circles!

Use complex numbers to prove that the composition of rotations is another rotation

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