Construction of Parallelogram Given Its Side and 1 Angle

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

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. Using ruler and compasses only, construct a parallelogram ABCD, in which : AB = 6 cm, AD = 3 cm and $\angle$ DAB = 60${}^{\circ }$. In the same figure draw the bisector of angle DAB and let it meet DC at point P. Measure angle APB.

Q. Construct a parallelogram $ABCD$ in which $BC=5cm,\angle BCD={120}^{\circ }$ and $CD=4.8cm$.

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

Q. In the given parallelogram, the length of OC =

1. 3 cm
2. 2.5 cm
3. 4 cm
4. 2 cm

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

Q. Construct a trapezium $PQRS$ in which $PQ\parallel SR,PQ=6cm,RS=3cm,PS=3cm$ and $QR=5$.