MathDB

MX=MY wanted, concurrent chords - OMAPA Paraguay 2005.5

Source:

September 14, 2021

geometryequal segmentsChords

Problem Statement

Given a chord

PQ

of a circle and

M

the midpoint of the chord, let

AB

and

CD

be two chords that pass through

M

AC

and

BD

are drawn until

PQ

is intersected at points

X

and

Y

respectively. Show that

X

and

Y

are equidistant from

M