Construction of a Quadrilateral When Other Special Properties Are Known
We can constr...
Question
We can construct a rhombus if its ___________ are given.
A
side
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B
diagonals
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C
angle
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D
None of these
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Solution
The correct option is B diagonals If we know the side only, we can't construct a unique rhombus because specific angles will be required to construct it, or if all angles are given, then also we can't construct a unique rhombus because a side length will be required to construct it.
But if the diagonals of rhombus are given we can construct a complete uniques rhombus.
Here are the steps:
1. Draw a diagonal AC.
2. Draw a perpendicular bisector of AC, let the perpendicular bisector and AC intersects at O (∵ Diagonals of rhombus intersects at right angle)
3. Taking O as centre and half of the length of another diagonal as radius, mark arc on the perpendicular bisector at both sides of AC. Name these intersection points as B and D