List questions from euclidean-geometry

Published on 07 May 2026 - 11:27

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Is the Incenter always "below" the middle point of an angle bisector segment in a triangle?

Published on 02 May 2026 - 20:01

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$\triangle ABC$ has $AC=BC$, and $\angle ACB=96^\circ$. $D$ is a point such that $\angle DAB=18^\circ, \angle DBA=30^\circ$. What is $\angle ACD$?

Published on 29 Apr 2026 - 12:54

148

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A compass moving on two straight lines

Published on 29 Apr 2026 - 12:54

286

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Drawing points and straight lines in the plane

Published on 29 Apr 2026 - 12:54

147

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Circle geometry with tangent line

Published on 04 May 2026 - 22:49

64

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Averages of side and averages of angles in a triangle

Published on 07 May 2026 - 12:28

91

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Can you generalize the Triangle group to other polygons?

Published on 07 May 2026 - 18:00

167

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Geometric inequality : In a equilateral , $ 4(PD^2 +PE^2 + PF^2) \ge PA^2 + PB^2 + PC^2 $

Published on 30 Apr 2026 - 10:33

175

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Geometry Problem: Find the area of $ABCD$ square

Published on 29 Apr 2026 - 12:54

55

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Geometric Proof for Quadrilateral

Published on 29 Apr 2026 - 12:54

78

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Unit-length 2D curve segment with maximal width along all directions

Published on 07 May 2026 - 19:02

66

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Given the triangle $ABC$...Prove that the $ME$ line always goes through a fixed point when $M$ moves.

Published on 29 Apr 2026 - 12:54

557

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Ratio of volumes of $n$-dimensional unit balls

Published on 29 Apr 2026 - 12:54

669

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Parallelogram and similar triangles question

Published on 29 Apr 2026 - 12:54

List Question

2018 January Challenge: Prove inequality in geometry problem

Is the Incenter always "below" the middle point of an angle bisector segment in a triangle?

$\triangle ABC$ has $AC=BC$, and $\angle ACB=96^\circ$. $D$ is a point such that $\angle DAB=18^\circ, \angle DBA=30^\circ$. What is $\angle ACD$?

A compass moving on two straight lines

Drawing points and straight lines in the plane

Circle geometry with tangent line

Averages of side and averages of angles in a triangle

Can you generalize the Triangle group to other polygons?

Geometric inequality : In a equilateral , $ 4(PD^2 +PE^2 + PF^2) \ge PA^2 + PB^2 + PC^2 $

Geometry Problem: Find the area of $ABCD$ square

Geometric Proof for Quadrilateral

Unit-length 2D curve segment with maximal width along all directions

Given the triangle $ABC$...Prove that the $ME$ line always goes through a fixed point when $M$ moves.

Ratio of volumes of $n$-dimensional unit balls

Parallelogram and similar triangles question

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