MathDB

Two polygons are homothetic

Source: Russian TST 2014, Day 8 P2 (Group NG)

January 8, 2024

geometrypolygonhomothety

Problem Statement

The polygon

M{}

is bicentric. The polygon

P{}

has vertices at the points of contact of the sides of

M{}

with the inscribed circle. The polygon

Q{}

is formed by the external bisectors of the angles of

M{}.

Prove that

P{}

and

Q{}

are homothetic.