Question

Consider the following statements and state which one is true and which one is false:
(1) The bisectors of all the four angles of a parallelogram enclose a rectangle.
(2) The figure formed by joining the midpoints of the adjacent sides of the rectangle is a rhombus.
(3) The figure formed by joining the midpoints of the adjacents sides of a rhombus is square.

• A. 1 and 2
• B. 2 and 3
• C. 3 and 1
• D. 1,2 and 3

Answer 1

The correct option is A 1 and 2

1) The bisectors of all the four angles of a parallelogram enclose a rectangle. The true statement.

2) The figure formed by joining the midpoints of the adjacent sides of the rectangle is a rhombus. The true statement.

3) The figure formed by joining the midpoints of the adjacent sides of a rhombus is square. It would be a rectangle. It is not true.

Then 1 and 2 are true