Theorem 1: Diagonal of a Parallelogram Divides It into Two Congruent Triangles
Trending Questions
Q.
A diagonal of a parallelogram divides it into two congruent triangles.
True
False
Q.
Which of the following are the properties of a parallelogram?
All of these
Opposite sides are equal
Opposite angles are equal
Diagonals bisect each other
Q. The diagonals of parallelogram ABCD meets at O. Then
ΔCOD congruent to
ΔCOD congruent to
- (\ \Delta COB\)
- (\ \Delta AOD\)
- (\ \Delta AOB\)
Q. ABCD is a parallelogram. Then ΔABC≅ _____
- ΔDAC
- ΔACD
- ΔCBD
- ΔADC
Q. Diagonal of a parallelogram divides it into two ______
- congruent triangles.
- triangles of equal area
- right angled triangles
- acute angled triangles.
Q. Given below is a parallelogram. AC and BD are diagonals. If AO = x + y, OC = 5y, DO = 3x, OB = 12, then find x and y.


- x = 2, y = 3
- x = 3, y = 2
- x = 4, y = 1
- x = 1, y = 4
Q. In a parallelogram ABCD diagonals AC and BD intersects at O and AC =12.8 cm and BD=7.6 cm, then the measure of OC and OD respectively equal to
- 1.9 cm and 6.4 cm
- 3.8 cm and 3.2 cm
- 6.4 cm and 3.8 cm
- 3.8 cm, 3.8 cm
Q. ABCD is a parallelogram. If AO = 10, OC = 3x + 4, BO = 8, OD = 2y + 2, then find the value of x and y.

- x = 2, y = 3
- x = 3, y = 2
- x = 4, y = 1
- x = 1, y = 4
Q. If the diagonals of a quadrilateral ABCD bisect each other at the point O then the quadrilateral ABCD can be a _____.
- Trapezium
- Kite
- Parallelogram
- None of the above
Q. Given below is a parallelogram ABCD. Find the value of x and y.

- 4 cm, 6 cm
- 2 cm, 4 cm
- 1 cm, 2 cm
- 3 cm, 4 cm