Question

Consideram punctele A(3,2) B(5,4) C(0,-2) si D(-2,0) Demostrati ca AB=CD.

Answer 1

Am utilizat formula prin care putem afla distanta dintre 2 puncte situate pe grafic.

Answer 2

$Daca A(3,2) ; B(5,4) ; C(0,-2)\;si\; D(-2,0) , atunci\; AB=CD.\\ AB=\sqrt{(5-3)^2+(4-2)^2}=\sqrt{4-4}=0;\;\;\;\\ \\ CD=\sqrt{(-2-0)^2-(0-(-2))^2}=\sqrt{4-4}=0;\\ \\ \Rightarrow\; \boxed{\;AB=CD\;}$