AB=CD

(-2-x)²+(-5+y)²=(4+3)²+(7+2)²⇒(-2-x)²+(-5+y)²=130

BC=AD

(x-4)²+(7-y)²=(-2+3)²+(-5+2)²⇒(x-4)²+(7-y)²=10

{4+4x+x²+25+10y+y²=130⇒x²+4x+10y+y²=101

{x²-8x+16+49-14y+y²=10⇒x²-8x-14y+y²=-55

отнимем

12x+24y=156⇒x+2y=13⇒x=13-2y

подставим в 1

169-52y+4y²+52-8y+10y+y²=101

5y²-50y+120=0

y²-10y+24=0

y1+y2=10 U y1*y2=24

y1=4⇒x1=13-8=5

y2=6⇒x2=13-12=1

(5;4);(1;6)