2019.10.3.1

Part of Kyiv City MO Seniors Round2 2010+ geometry

Problems(1)

AR = QR wanted inside a regular pentagon (2019 Kyiv City MO Round2 10.3.1)

Source:

ABCDE

be a regular pentagon with center

M

P \ne M

is selected on segment

MD

. The circumscribed circle of triangle

ABP

intersects the line

AE

for second time at point

Q

, and a line that is perpendicular to the

CD

and passes through

P

, for second time at the point

R

AR = QR

geometryequal segmentspentagonregular pentagon