Converse of Diagonals of a Parallelogram Bisect Each Other

Q. Question 50
If a diagonal of a quadrilateral bisects both the angles, then it is a
a) Kite
b) Parallelogram
c) Rhombus
d) Rectangle

Q. If the diagonals of a quadrilateral ABCD bisect each other at the point O then the quadrilateral ABCD can be a _____.

1. Trapezium
2. Kite
3. Parallelogram
4. None of the above

Q. Question 11 (i)
In $\Delta ABC$ and $\Delta DEF$ , AB=DE, AB || DE, BC =EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that Quadrilateral ABED is a parallelogram.

Q. In which of the following quadrilaterals, does the diagonals bisect each other?

1. Trapezium
2. Rhombus
3. Kite
4. Parallelogram

Q. Question 11 (ii)
In $\Delta ABC$ and $\Delta DEF$ , AB=DE, AB || DE, BC =EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that Quadrilateral BEFC is a parallelogram.

Q.

1. Trapezium

2. Kite

3. Parallelogram

4. Rhombus

Q.

1. Rhombus

2. Kite

3. Parallelogram

4. Trapezium

Q. If the diagonals of a quadrilateral ABCD bisect each other at the point O then the quadrilateral ABCD can be a _____.

1. Kite
2. Trapezium
3. None of the above
4. Parallelogram