Let 𝑨𝑩𝑪𝑫 be a square. 𝑬 and 𝑭 lie on sides 𝑨𝑩 and 𝑩𝑪, respectively, such that 𝑩𝑬 = 𝑩𝑭.
The line perpendicular to 𝑪𝑬, which passes through 𝑩, intersects 𝑪𝑬 and 𝑨𝑫 at points 𝑮
and 𝑯, respectively. The lines 𝑭𝑯 and 𝑪𝑬 intersect at point 𝑷 and the lines 𝑮𝑭 and 𝑪𝑫
intersect at point 𝑸. Prove that the line 𝑫𝑷 is perpendicular to the line 𝑩𝑸.
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