MathDB
AP _|_ BQ wanted, trapezoid with bases AB = 2CD, circle

Source: 2011 All-Ukrainain Correspondence MO of magazine ''In the World of Mathematics'', grades 5-12 p7

April 26, 2021
geometrytrapezoidperpendicularUkraine Correspondence

Problem Statement

Let ABCDABCD be a trapezoid in which AB∥CDAB \parallel CD and AB=2CDAB = 2CD. A line ℓ\ell perpendicular to CDCD was drawn through point CC. A circle with center at point DD and radius DADA intersects line ℓ\ell at points PP and QQ. Prove that AP⊥BQAP \perp BQ.
Back to ProblemsView on AoPS