MathDB

ASU 563 Commonwealth of Independent States 1991 symmetric wrt line

Source:

August 15, 2019

reflectionsymmetryequidistantgeometrycircle

Problem Statement

A

and

B

lie on a circle.

P

lies on the minor arc

AB

Q

and

R

(distinct from

P

) also lie on the circle, so that

P

and

Q

are equidistant from

A

, and

P

and

R

are equidistant from

B

. Show that the intersection of

AR

and

BQ

is the reflection of

P

AB