Question

The coordinates of the fourth vertex C of the rectangle ABCD formed by A(0, 0), B(2, 0) and
D(0, 3) is :
(a) (3, 2)
(b) (0, 2)
(c) (2, 3)
(d) (3,0)
​

Answer 1

The coordinates of fourth vertex are (2,3).

The correct option is (C).

Step-by-step explanation:

Lets say the coordinates of A, B, C and D in the coordinate region are

A are ( 0,0)

B are (2,0)

C are ( 0,3)

and D are ( x,y)

Now the fourth vertex is ABDC is

MP(BC) = MP(AD)

(2/2 , 3/2) =  (X/2 , Y/2)

Thus the coordinates of fourth vertex are (2,3).

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Answer 2

Step-by-step explanation:

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