9. Which property of rhombus do we use while constructing a rhombus, when the length of its two diagonals are given? (1 Point)
A) diagonals are equal
B) diagonals bisect each other
C) diagonals are perpendicular bisectors of each other
D) All of these
Answers
Answer:
All of the above
Step-by-step explanation:
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
4. Join AB,AD,BC,CD.
5. ABCD is the required rhombus.
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Step-by-step explanation:
A rhombus is a quadrilateral with sides of equal length. Opposite sides are parallel and opposite vertex angles are equal. Let us say, you are required to construct a rhombus PQRS with the lengths of its two diagonals, PR = 6 cm and SQ = 7 cm. We know that the diagonals of a rhombus bisect each other at 90 degrees.