Constructing a Parallelogram When Its Two Adjacent Sides and One Angle Are Given

Q.

It is possible to draw a unique parallelogram with side lengths 4 cm and 9 cm.

1. False
2. True

Q.

To construct parallelogram ABCD given AB=6 cm, AD =3 cm and $\angle DAB={60}^{\circ }$, which of the properties of a parallelogram do we use?

1. Diagonals bisect each other

2. Diagonals are not equal

3. opposite angles are equal

4. Opposite sides are equal

Q. Steps of constructing a parallelogram TEAR, where TE= 4 cm, TR= 3 cm and $\angle RTE=50°$ is given below.
1. Draw $\overrightarrow{TX}$.
2. Mark TE= 4 cm on $\overrightarrow{TX}$.
What is the next step?

1. Draw $\overrightarrow{EY}$ such that $\angle TEY$=50°
2. Draw $\overrightarrow{TY}$ such that $\angle YTE$=50°
3. Draw TR = 3 cm on $\overrightarrow{TX}$
4. Draw a perpendicular bisector of TE