Question

Find $k$ (slope) if there's a homothety centered at origin with $k$ coefficient and it moves point $A(2;3)$ to point $B(2x-1;x)$

score 35 · Answer 1 · 2026-03-25 12:49:55

35

Views

Find $k$ (slope) if there's a homothety centered at origin with $k$ coefficient and it moves point $A(2;3)$ to point $B(2x-1;x)$

Published on 25 Mar 2026 - 12:49

score 68 · Answer 2 · 2026-03-25 07:42:17

68

Views

Making a quadrilateral cyclic by an homothety

Published on 25 Mar 2026 - 7:42

score 208 · Answer 3 · 2026-03-25 14:21:30

208

Views

Line from incenter bisects side

Published on 25 Mar 2026 - 14:21

score 186 · Answer 4 · 2026-04-05 16:02:38

186

Views

Angles inside a triangle

Published on 05 Apr 2026 - 16:02

score 213 · Answer 5 · 2026-04-06 07:07:57

213

Views

Locus in the case of an ellipse.

Published on 06 Apr 2026 - 7:07

score 136 · Answer 6 · 2026-03-25 12:48:42

136

Views

Let $ABCD$ be a parallelogram. Show that $\angle BQD = 90^ \circ$.

Published on 25 Mar 2026 - 12:48

score 93 · Answer 7 · 2026-03-25 14:20:51

93

Views

Another beauty hidden in a simple triangle (3)

Published on 25 Mar 2026 - 14:20

score 244 · Answer 8 · 2026-03-25 14:24:41

244

Views

Polar of a point with respect to a circle does not depend on the secants chosen to draw it.

Published on 25 Mar 2026 - 14:24

score 110 · Answer 9 · 2026-03-25 12:52:19

110

Views

Geometry problem solving involving alternate segment theory

Published on 25 Mar 2026 - 12:52

score 288 · Answer 10 · 2026-05-01 19:53:18

288

Views

Quadrilaterals and parallel lines: An olympiad question

Published on 01 May 2026 - 19:53

score 168 · Answer 11 · 2026-03-25 12:50:06

168

Views

Let $ABCD$ be a rectangle, $E$ midpoint of $DC$ and $G\in AC$ such that $BG\bot AC$. Let $F$ be a midpoint of $AG$. Prove $\angle BFE =\pi/2$.

Published on 25 Mar 2026 - 12:50

score 142 · Answer 12 · 2026-03-25 12:50:49

142

Views

$M$ is a point in an equaliateral $ABC$ of area $S$. $S'$ is the area of the triangle with sides $MA,MB,MC$. Prove that $S'\leq \frac{1}{3}S$.

Published on 25 Mar 2026 - 12:50

score 490 · Answer 13 · 2026-03-25 10:57:30

490

Views

Angles of triangle $\triangle XYZ$ do not depend on the position of point $P$ (proof needed)

Published on 25 Mar 2026 - 10:57

score 1.8k · Answer 14 · 2026-04-06 03:49:31

1.8k

Views

Finding Angle in Triangle inside square

Published on 06 Apr 2026 - 3:49

score 56 · Answer 15 · 2026-04-05 11:06:53

56

Views

Question about inversion images

Published on 05 Apr 2026 - 11:06

List Question

Find $k$ (slope) if there's a homothety centered at origin with $k$ coefficient and it moves point $A(2;3)$ to point $B(2x-1;x)$

Making a quadrilateral cyclic by an homothety

Line from incenter bisects side

Angles inside a triangle

Locus in the case of an ellipse.

Let $ABCD$ be a parallelogram. Show that $\angle BQD = 90^ \circ$.

Another beauty hidden in a simple triangle (3)

Polar of a point with respect to a circle does not depend on the secants chosen to draw it.

Geometry problem solving involving alternate segment theory

Quadrilaterals and parallel lines: An olympiad question

Let $ABCD$ be a rectangle, $E$ midpoint of $DC$ and $G\in AC$ such that $BG\bot AC$. Let $F$ be a midpoint of $AG$. Prove $\angle BFE =\pi/2$.

$M$ is a point in an equaliateral $ABC$ of area $S$. $S'$ is the area of the triangle with sides $MA,MB,MC$. Prove that $S'\leq \frac{1}{3}S$.

Angles of triangle $\triangle XYZ$ do not depend on the position of point $P$ (proof needed)

Finding Angle in Triangle inside square

Question about inversion images

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