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Question

A rhombus ABCD is to be constructed with side AB =5 cm. Which of the following dimensions must also be specified for the construction? [1 Mark]


A
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B
CD
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C
AC
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D
BC
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Solution

The correct option is C AC
One side of a rhombus has been given, so we know all four sides. But for drawing the unique rhombus, we will need one more measurement.
So, another measurement that must be specified to construct a rhombus is its diagonal or one of the angles.
AB = 5cm, if the length of AC (diagonal) is mentioned then by using the Pythagoras theorem, we can find out the length of other diagonal and subsequentially, we can construct the rhombus.
[1 Mark]

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