MathDB

6

Part of 2008 Regional Olympiad of Mexico Center Zone

Problems(1)

AP _|_BQ if AQ_|_DP, AB = AD, <B = < D = 90 ^o

Source: Mathematics Regional Olympiad of Mexico Center Zone 2008 P6

11/9/2021
In the quadrilateral ABCDABCD, we have AB=ADAB = AD and ∠B=∠D=90∘\angle B = \angle D = 90 ^ \circ . The points PP and QQ lie on BCBC and CDCD, respectively, so that AQAQ is perpendicular on DPDP. Prove that APAP is perpendicular to BQBQ.
geometryperpendicular