Mathematics
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.
Answer
In a parallelogram, a fundamental property is that the diagonals bisect each other — i.e. each diagonal is split into two equal segments at their intersection.
Since, one side is known and diagonals are known we can create triangles, and thus completely constructing the parallelogram.
∴ Both A and R are true, and R is the correct reason for A.
Hence, option 3 is the correct option.
Related Questions
In a regular hexagon, leading diagonal of it, is twice of its side.
Yes
No
Nothing can be said
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.
Construct a quadrilateral ABCD with AB = 7 cm, BC = CD = 5 cm and ∠ABC = ∠BCD = 90°.
Construct a trapezium ABCD in which AD // BC, AB = CD = 3.6 cm, BC = 5 cm and AD = 4.5 cm.