Construction of Parallelogram (2 Sides and 1 Angle)

Q.

It is possible to construct an angle with a measure of 135 degrees.

1. True

2. False

Q.

It is possible to construct an angle equal to a given angle.

1. True

2. False

Q.

Which of the following angle construction is not possible with a ruler and a compass?

1. 90 degree

2. 30 degree

3. 80 degree

4. 120 degree

Q.

Construct the following angles and verify by measuring them by a protractor:

(i) 75° (ii) 105° (iii) 135°

Q.

Which of the following instruments is not necessary to construct an angle bisector?

1. Scale

2. compass

3. protractor

4. None of these

Q. How to construct 32.5degree
step by step

Q. ABCD is a parallelogram in which $\angle DCBand\angle ABC$ are in ratio 2:7. Find the sum of $\angle ABDand\angle ADB$.

Q. Construct the angles of the following measurements:

(i) 30°

(ii) 75°

(iii) 105°

(iv) 135°

(v) 15°

(vi) $22{\frac{1}{2}}^{°}$

Q.

Can we draw an angle of 61 degrees?

Q. Construct the following angles at the initial point of a given ray and justify the construction.
(i) 45° (ii) 90°

Q.

The radius of an arc drawn during construction an angle bisector is fixed.

1. True

2. False

Q. Draw an angle of 45° using scale and compasses only. Draw the bisector of this angle.

Q.

If we know that one side of the rectangle is 8 cm, then can we construct a unique rectangle?

1. Yes, we can

2. With measurement of one angle, yes

3. With measurement of two angle, yes

4. No, its not possible

Q.

What is the minimum number of measurements required to construct a unique parallelogram?

___

Q.

To construct a rectangle it is enough if one angle and one side are given.

1. True

2. False

Q.

What are the minimum number of measurements required to construct a unique parallelogram?​

1. 3

2. 2
3. 1
4. 5

Q. To construct a parallelogram, we need to know two adjacent sides and ___ angle(s).

1. one
2. two
3. three
4. four

Q.

It is not possible to construct angle bisectors for obtuse angles.

1. True

2. False

Q.

The ________ angles of a parallelogram are equal.

1. opposite

2. interior

3. adjacent

4. exterior

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. With ADC, yes

2. With AC, yes

3. No, it is impossible

4. Yes, of course

Q. The minimum number of angles required in addition to the measure of two sides, to construct a parallelogram equal to

1. 4
2. 1
3. 2
4. 3

Q. ABCD is a parallelogram. Find the value of x in each case.

1. ${45}^{\circ }$
2. ${90}^{\circ }$
3. ${40}^{\circ }$

Q. Using ruler and compass only construct a parallelogram of AB 6 cm AD 3 cm angle DAB is 45. If the bisector of angle DAB meets meets DC at P. Prove that angle APB is a right angle.

Q. Using ruler and compasses only, draw a right angle.

Q.

It is not possible to construct angle bisectors for obtuse angles.

1. False

2. True

Q. Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.

Q. Construct an angle of $22\frac{1}{2}°$.