Mathematics
Statement 1: In a quadrilateral ABCD; AB = BC = CD = DA = 8 cm.
Statement 2: It is possible to construct the quadrilateral.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Rectilinear Figures
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Answer
In a quadrilateral ABCD; AB = BC = CD = DA = 8 cm
This is true, such a quadrilateral can exist. When all four sides are equal, the quadrilateral can be a rhombus or a square.
So, statement 1 is true.
Construction typically requires just one extra piece of information either a diagonal length or a specific angle.
No, it is not possible to construct the quadrilateral.
So, statement 2 is false.
∴ Statement 1 is true, and statement 2 is false.
Hence, option 3 is the correct option.
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Related Questions
Is it possible to construct a quadrilateral with sides 5 cm, 6 cm, 7 cm, 8 cm and one of the diagonal 15 cm.
Yes
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Nothing can be said
In a regular hexagon, leading diagonal of it, is twice of its side.
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Assertion (A): The diagonals and one side of the parallelograms are given.
Reason (R): Is it possible to construct parallelogram as the diagonals bisect each other.
A is true, but R is false.
A is false, but R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.
Construct a quadrilateral ABCD with AB = 7 cm, BC = CD = 5 cm and ∠ABC = ∠BCD = 90°.