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10.3

Part of 1996 All-Russian Olympiad Regional Round

Problems(1)

isosceles trapezoids - All-Russian MO 1996 Regional (R4) 10.3

Source:

9/23/2024
Given an angle with vertex BB. Construct point MM as follows. Let us take an arbitrary isosceles trapezoid whose sides lie on the sides of a given angle. Through two opposite ones draw tangents to the vertices of the circle circumscribed around it. Let MM denote the point of intersection of these tangents. What figure do all such points MM form?
geometrytrapezoid