Question

9. Show that the points A (2,-1), B (3, 4), C (-2, 3) and D (-3, -2) are the vertices of a rhombus.
[Hint . Show that AB = BC = CD = DA and diag. AC + diag. BD.]​

Answer 1

Step-by-step explanation:

AB=√[(3-2)^2 +(4+1)^2]=√26

BC=√[(-2-3)^2+(3-4)^2]=√26

CD=√[(-3+2)^2+(-2-3)^2]=√26

DA=√[(-3-2)^2+(-2+1)^2]=√26

AC=√[(-2-2)^2+(3+1)^2]=√32

BD=√[(-3-3)^2+(-2-4)^2]=√72

AB=BC=CD=DA

but AC not equal to BD