Answer :


Since, O is the midpoint of the rectangle and sides of the rectangle are parallel to coordinate axis,


The rectangle is symmetrical about both X and Y axis.


Line AB is parallel to Y – axis,


X coordinate will remain same


X coordinate of B = 3


A is 2 units above X – axis , therefore by symmetry B will be 2 units below X – axis.


Y coordinate of B = – 2


coordinates of B = (3, – 2)


BC is parallel to the X axis


Y coordinate will remain constant


Y coordinate of C = – 2


B is 3 units right to the Y axis,


by symmetry C will be 3 units to left of Y – axis.


X coordinate of C = – 3


coordinates of C = (– 3, – 2)


CD is parallel to Y – axis,


X coordinate will remain constant


X coordinate of D = – 3


The AD is parallel to X – axis,


Y coordinate will remain constant


Y coordinate of D = 2


coordinates of D = (– 3,2)


Hence, the coordinates of other three vertices are (3, – 2),(– 3, – 2)


And (– 3,2)


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