Question

if ABCD is a square where A(0,0 ). B(2, 0) D( 0,2 ) , then the coordinate of C is ​

Answer 1

Answer:

Step-by-step explanation:

Let us take a Square ABCD :

We know in a Square Diagonals Bisect each other;

So Let the two Diagonals be AC and BD;

Mid Point of AC = Mid Point of BD.

Coordinates of A(0,0),B(2,0) & D(0,2)

Let Coordinates of C be (x,y);

Mid Point of AC =

(0+x)/2 , (0+y)/2 = (x/2 , y/2)

AND

Mid Point of BD =

(2+0)/2 , (0+2)/2 = 2/2 , 2/2 = (1,1)

By Equating both the Mid Points we get:

(x/2 , y/2) = (1,1)

x/2 = 1  &  y/2 = 1

So,

x = 2  &  y = 2

Hence the coordinates of C are (2,2).

Answer 2

Answer:

Step-by-step explanation:

We know that diagonals of a square bisect each other.

Therefore, use the formula for finding the mid-point.

The complete answer is below here

Hope it helps