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 $D$ to complete the rhombus $ABCD.$ Measure the diagonals of this rhombus and find whether they are equal or not.

Answer

Given points are $A (1, 2), B (3, 4)$ and $C (5, 2)$. location of given points on the graph given below.
To complete the rhombus the fourth point will be $(3, 0)$.
$\therefore\ $The length of the diagonals, $AC = BD = 4$ units and they are equal.

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