If AB - BC - CD - DA - 4 cm- then the quadrilateral ABCD nbsp-could be a rhombus or a nbsp-squareparallelogramrectanglenone of the above

The correct option is A squareGiven, AB = BC = CD = DA = 4 cm. nbsp; From the properties, we know that squares and rhombus are the only quadrilaterals with al ...

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Standard IX

Mathematics

Construction of Quadrilateral (4 Sides)

If AB = BC = ...

Question

If AB = BC = CD = DA = 4 cm, then the quadrilateral ABCD could be a rhombus or a .

square

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parallelogram

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rectangle

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none of the above

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Solution

The correct option is A square
Given, AB = BC = CD = DA = 4 cm.
From the properties, we know that squares and rhombus are the only quadrilaterals with all equal sides.

Hence, the quadrilateral could be either a rhombus or a square.

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Similar questions

Let ABCD be a quadrilateral with diagonals AC and BD. Prove the following statements (Compare these with the previous problem);

(a) AB + BC + CD > AD;

(b) AB + BC + CD + DA > 2AC;

(d) AB + BC + CD + DA > AC + BD.

Q. If AB = BC = CD = DA = 4 cm, then the quadrilateral ABCD could be a rhombus or a .

State true or false:

In a quadrilateral

A B C D

A B + B C + C D + D A > 2 B D

Q. If the measurements of a quadrilateral ABCD are given as AB = BC = CD = DA = 4 cm, we can conclude that ABCD is a square.

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If AB = BC = CD = DA = 4 cm, then the quadrilateral ABCD could be a rhombus or a .

The correct option is A squareGiven, AB = BC = CD = DA = 4 cm. From the properties, we know that squares and rhombus are the only quadrilaterals with all equal sides. Hence, the quadrilateral could be either a rhombus or a square.

The correct option is A square
Given, AB = BC = CD = DA = 4 cm.
From the properties, we know that squares and rhombus are the only quadrilaterals with all equal sides.

Hence, the quadrilateral could be either a rhombus or a square.