Question

Each side of a square is of length 4 units. The centre of the square is (3, 7) and one of its diagonal is parallel to y = x. Find the co-ordinates of its vertices.​

Answer 1

Step-by-step explanation:

R.E.F image

Let ABCD in square

AB=CD=DA=BC=?

P=(3,7)

draw PM

⊥

AB

M is mid point of AB

So, AM=MB=PM=?

diagonal is parallel to y = x, its sides

are parallel a to coordinate axis

∴ M = (3, 5)

⇒ A= (3 - 2, 5) = (1, 5)

B = (3 + 2 + 5) = (5, 5)

C = (3 + 5, 7 + 2) = (8, 9)

D = (3 - 2, 7 + 2) = (1, 9)