MathDB

2

Part of 1949 Kurschak Competition

Problems(1)

reflection of P in the line QR lies on the circumcircle of the triangle

Source: 1949 Hungary - Kürschák Competition p2

10/9/2022
PP is a point on the base of an isosceles triangle. Lines parallel to the sides through PP meet the sides at QQ and RR. Show that the reflection of PP in the line QRQR lies on the circumcircle of the triangle.
geometrycircumcircle