Construction of Parallelogram Given Diagonals and Angle Between Diagonals

Q. Construct Parallelogram HEAR where HE = 5 cm, EA = 6 cm, $\angle R={85}^{\circ }$.

Q. Construct a parallelogram POUR in which PO = 5.5 cm, OU = 7.2 cm and $\angle O={70}^{\circ }$.

Q. Construct a parallelogram ABCD given AB=6 cm, AD =3 cm and $\angle DAB={60}^{\circ }$.

Q.

Construct a parallelogram PQRS such that PQ = 5.2 cm, PR = 6.8 cm, and QS = 8.2 cm.

Q. Construct a parallelogram ABCD, in which AB= 6cm , AD= 3cm and ∠DAB = ${60}^{\circ }$ .
Draw a bisector to angle DAB, let it meet DC at point P. Measure angle APB.

1. ${45}^{\circ }$
2. ${60}^{\circ }$
3. ${75}^{\circ }$
4. ${90}^{\circ }$

Q. What is parallelogram?

Q. Construct a parallelogram ABCD whose two diagonals AC = 5.4 cm, BD = 4.8 cm and the acute angle between the diagonals is ${60}^{\circ }$

Q.

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $\angle ABC={130}^{\circ }$, $\angle DAC={15}^{\circ }$, $\angle CAB={25}^{\circ }$, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

1. Yes, of course.

2. With $\angle$ADC, yes.

3. With AC, yes.

4. No, it is impossible.

Q. Question 187
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and $\angle B={60}^{\circ }$.

Q.

We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, $\angle$ABC = ${110}^{\circ }$, $\angle$DAC = ${15}^{\circ }$, $\angle$CAB=${25}^{\circ }$, AB = 5cm, CD = 7cm. Can we construct this parallelogram?

1. No, it is impossible

2. With ADC, yes

3. Yes, of course

4. With AC, yes

Q.

We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, $\angle$ ABC = ${110}^{\circ }$, $\angle$ DAC = ${15}^{\circ }$, $\angle$ CAB=${25}^{\circ }$, AB = 5cm, CD = 7cm. Can we construct this parallelogram?

1. Yes, of course

2. With ADC, yes

Q.

Construct Parallelogram HEAR where HE = 5 cm, EA = 6 cm, $\angle R={85}^{\circ }$. [4 MARKS]

Q. Construct a parallelogram ABCD whose two diagonals AC = 5.4 cm, BD = 4.8 cm and the acute angle between the diagonals is ${60}^{\circ }$

Q. Construct a parallelogram POUR in which PO = 5.5 cm, OU = 7.2 cm and $\angle O={70}^{\circ }$.

Q.

Construct a parallelogram, ABCD with side BC = 4.5 cm, diagonal AC = 5.6 cm and diagonal BD = 5.0 cm. [4 MARKS]

Q.

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $\angle ABC={130}^{\circ }$, $\angle DAC={15}^{\circ }$, $\angle CAB={25}^{\circ }$, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

1. With $\angle$ADC, yes.

2. No, it is impossible.

3. Yes, of course.

4. With AC, yes.