A rhombus will be a square, if :

1. its diagonals bisect each other

2. its diagonals are perpendicular to each other

3. one of its angles is 60°

4. none of these

The diagonals of a quadrilateral, bisect each other at right-angle. The quadrilateral is a:

1. trapezium

2. square

3. rhombus

4. parallelogram

In a trapezium ABCD, AB//DC and AD = BC. If ∠A = (5x + 8)° and ∠D = (4x + 10)°; the measure of angle B is

1. 98°

2. 82°

3. 96°

4. none of these

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.