Constructing a Parallelogram When Its Two Diagonals and One Included Angle Are Given

Q.

Construct Parallelogram MORE OR = 6 cm, RE =4.5 cm, EO = 7.5 cm. [4 MARKS]

Q.

Construct a trapezium ABCD, in which $AD\parallel BC$ and AD = 3.0 cm, AB = 2.5 cm, BC = 5.0 cm and CD = 2.8 cm. [4 MARKS]

Q. To construct a parallelogram ABCD, we are given the following data:
AC = 10 cm, BD = 8 cm and $\angle AOB={110}^{\circ }.$
With these measurements, we can construct one and only one parallelogram.

1. True
2. False

Q.

Construct a parallelogram, ABCD with AB = 3.5 cm, BC = 4.5 cm and diagonal BD = 5.5 cm. [2 MARKS]

Q.

To construct a parallelogram given its length of diagonals, which of the following additional information is required?

1. One angle of the parallelogram

2. Two angles of the parallelogram

3. The angle between the diagonals

4. None of the above