Mathematics
Statement 1:For a quadrilateral ABCD; if AB = BC = CD = DA = 8 cm, then it is possible to construct this quadrilateral.
Statement 2: It is only possible to construct this quadrilateral if each of its diagonals is greater than 8 cm.
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.
It is not necessary that the diagonal length must be greater than the side length.
So, it is not definitely true that length of each of diagonals is greater than 8 cm.
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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Assertion (A): A parallelogram can be constructed if the measures of its diagonals and one side are given.
Reason (R): It is possible to construct this parallelogram as the diagonals bisect each other.
A is true, but R is false.
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Both A and R are true, and R is the correct reason for A.
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Construct a quadrilateral ABCD with AB = 7 cm, BC = CD = 5 cm and ∠ABC = ∠BCD = 90°.