Mathematics
Assertion (A): The figure formed by joining the mid-points of the sides of a quadrilateral ABCD is a square.
Reason (R): Diagonals of quadrilateral ABCD are not equal and are not perpendicular to 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.
Mid-point Theorem
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Answer
For the figure formed by joining the midpoints of a quadrilateral to be a square, the diagonals of the original quadrilateral must be both equal and perpendicular to each other.
The reason states that the diagonals are not equal and not perpendicular.
∴ A is false, but R is true.
Hence, option 2 is the correct option.
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