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Question

A rhombus can be converted into a square shape without change in length of any of its sides.
Which of following conversion can take place without change in length of sides of both shapes.

A
Isosceles trapezoid from trapezoid
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B
Parallelogram from trapezoid
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C
Rectangle from Parallelogram
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D
Rectangle from square
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Solution

The correct option is C Rectangle from Parallelogram
A square can be formed by hinging all the 4 vertices, fixing any side and sliding the opposite side of the fixed side such that all the interior angles become 90o.


Similarly, a rectangle can be converted from a parallelogram by hinging all the 4 vertices of the parallelogram, fixing any side and sliding the opposite side of the fixed side such that all the interior angles become 90o.

Hence, the correct option is Rectangle from Parallelogram

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