Question

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.

Options

• A is true, R is false.

• A is false, 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 1

Both A and R are true, and R is the correct reason for A.

• Assertion (A): A parallelogram can be uniquely constructed if its two diagonals and one side are given.
• Reason (R): This construction is possible because the diagonals of a parallelogram bisect each other at their intersection point O, allowing us to form a triangle using half of each diagonal and the given side length to build the base structure.