Statement 1: In order to prove that a given parallelogram is a rectangle, we must prove that (a) any angle of it is 90° or (b) its diagonal are equal.

Statement 2: A kite is an arrowhead in which two pairs of adjacent sides are equal.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

A given parallelogram is a rectangle;

If one angle of a parallelogram is 90°, then all angles must be 90° due to the properties of parallelograms (opposite angles are equal, and adjacent angles are supplementary). Therefore, the parallelogram is a rectangle.

If the diagonals of parallelogram are equal, then it is a rectangle.

So, statement 1 is true.

A kite is a quadrilateral with two pairs of adjacent sides that are equal in length.

An arrowhead shape typically refers to a concave quadrilateral, which is not a standard definition of a kite.

So, statement 2 is false.

∴ Statement 1 is true, and statement 2 is false.

Hence, option 3 is the correct option.