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A (-2, 4), C(4, 10) and D(-2, 10) are the vertices of a square ABCD. Use the graphical method to find the coordinates of the fourth vertex B. Also, find:

(i) The coordinates of the mid-point of BC;

(ii) The coordinates of the mid-point of CD and

(iii) The coordinates of the point of intersection of the diagonals of the square ABCD.

Answer:

Given , A (-2, 4), C(4, 10) and D(-2, 10) are the vertices of a square ABCD

According to the graph, we get, B(4,4)

From the graph,

The coordinates of the mid-point of BC is E(4,7)

The coordinates of the mid-point of CD is F(1,10)

the coordinates of the diagonals of the square is G(1,7)

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