Question:
Locate the points A (1, 2), B (3, 4) and C (5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D in order to complete the rhombus ABCD. Measure the diagonals of this rhombus and check whether they are equal or not.
Solution:
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Co-ordinates of D =(3,0)
Distance AC = 4 unit
distance BD = 4 unit
Hence, we can see that diagonals of the given rhombus are of equal length i.e, 4 units.