MathDB

Geometry

Source:

October 31, 2015

geometryInversioncirclesIstek Lyceum MO

Problem Statement

Let

\omega

be the semicircle with diameter

PQ

. A circle

k

is tangent internally to

\omega

and to segment

PQ

at

C

. Let

AB

be the tangent to

K

perpendicular to

PQ

, with

A

on

\omega

and

B

on the segment

CQ

. Show that

AC

bisects angle

\angle PAB

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