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 34 · Answer 1 · 2026-03-13 18:53:55

34

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 13 Mar 2026 - 18:53

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 207 · Answer 3 · 2026-03-22 07:21:31

207

Views

Line from incenter bisects side

Published on 22 Mar 2026 - 7:21

score 184 · Answer 4 · 2026-03-21 22:07:15

184

Views

Angles inside a triangle

Published on 21 Mar 2026 - 22:07

score 212 · Answer 5 · 2026-03-25 08:00:44

212

Views

Locus in the case of an ellipse.

Published on 25 Mar 2026 - 8:00

score 135 · Answer 6 · 2026-03-14 08:32:24

135

Views

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

Published on 14 Mar 2026 - 8:32

score 92 · Answer 7 · 2026-03-22 08:44:07

92

Views

Another beauty hidden in a simple triangle (3)

Published on 22 Mar 2026 - 8:44

score 243 · Answer 8 · 2026-03-14 13:24:15

243

Views

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

Published on 14 Mar 2026 - 13:24

score 109 · Answer 9 · 2026-03-13 22:11:32

109

Views

Geometry problem solving involving alternate segment theory

Published on 13 Mar 2026 - 22:11

score 282 · Answer 10 · 2026-03-22 15:45:17

282

Views

Quadrilaterals and parallel lines: An olympiad question

Published on 22 Mar 2026 - 15:45

score 167 · Answer 11 · 2026-03-14 01:52:02

167

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 14 Mar 2026 - 1:52

score 141 · Answer 12 · 2026-03-13 18:11:14

141

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 13 Mar 2026 - 18:11

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 · 2026-03-22 03:58:08

1.8k

Views

Finding Angle in Triangle inside square

Published on 22 Mar 2026 - 3:58

score 54 · Answer 15 · 2026-03-21 19:25:02

54

Views

Question about inversion images

Published on 21 Mar 2026 - 19:25

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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