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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