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Question

In the figure, if the midpoints of the half of the diagonals of a rhombus are joined to form a small quadrilateral then this quadrilateral is a rhombus.
1370082_75391a16819d45e99dcd3037fea61258.png

A
True
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B
False
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Solution

The correct option is B False
We Know that if use join midpoints of diagonals of a parallelogram then we again get a parallelogram.
Also, length of diagonals of a rhombus are not equal so diagonals of parallelogram formed will also not be equal.
Given figure is a rhombus so diagonals intersect at 90, so if we take any two adjacent triangles of ||gm formed that they will be congruent by (RHS)
Right-Angle - hypotenuse-side property of congruency so all adjacent sides of formed parallelogram have same length. So it is a Answer: Option (B)

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