The coordinate of D is (1,1).
Step-by-step explanation:
Given,
The coordinates of the square are A(1,5), B(5,5), C(5,1)
To find the the coordinate of D
Formula
We know that the diagonals of a square bisects each other.
And mid point of any two coordinates ( and will be )
Let,
O be the mid point of diagonal AC
So, coordinates of O is = (3,3)
Hence, O is also the mid point of diagonal BD.
Let, coordinates of D is (x,y)
According to the formula
= 3 and = 3
or, 5+x = 6 and y+5 = 6
or, x=1 and y=1
So,
The coordinate of D is (1,1).