Parallelogram and Its Properties

Q. A parallelogram whose all sides are equal and all angles are equal to 90${}^{\circ }$ is a

1. rectangle
2. square
3. kite
4. rhombus

Q.

To construct a parallelogram, a minimum of how many measurements need to be provided?

1. $2$

2. $3$

3. $4$

4. $1$

Q. In the given figure, ABCD is a rhombus, then the value of 'x' (in degrees) is

1. 30

Q.

The adjacent angles in a parallelogram are ______ .

1. complementary

2. equal

3. not equal

4. supplementary

Q.

Area of a triangle with the same base and height as a parallelogram is ____ the area of the parallelogram.

1. twice

2. half

3. equal

4. thrice

Q. The adjacent figure PQRS is a trapezium in which $SP\parallel RQ$, find the measures of $\angle P$ and $\angle R$. [2 MARKS]

Q.

What is the measure of any exterior angle of a regular nonagon?

1. ${40}^{\circ }$

2. ${100}^{\circ }$

3. ${140}^{\circ }$

4. ${90}^{\circ }$

Q. The sides of a rectangle are in the ratio of 6:5 and its area is 750 sq m. Find perimeter of the rectangle (in m).

1. 110

Q.

In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of the parallelogram is 156cm², then find the length of AL in cm.

___

Q.

A flooring tile has the shape of a parallelogram whose base is $24cm$ and the corresponding height is $10cm.$ How many such tiles are required to cover a floor of area $1080m^2$

Q.

If ABCD is a parallelogram and BEFC is a square which of the following is true?

1. True

2. False

3. $\angle ABE=\angle DCF$

4. $EF=AD$

Q. If one of the angles of a parallelogram is 100°, then the other non-adjacent angle is .

1. 180°
2. 100°
3. 80°

Q.

Given 2 unequal sides and one angle of a parallelogram, how many such parallelograms are possible? [2 MARKS]

Q. In the trapezium ABCD shown below, if $\angle ADC={120}^{\circ }$, then find the measure (in degrees) of $\angle DCB$.

1. 60

Q. Question 163
Find the value of x in the trapezium ABCD given below

Q. In the following figure ABCD is a trapezium in which $AB\parallel DC$. Find the measure of $\angle C$. [2 MARKS]

Q.

Explain how this figure is a trapezium. Which of its two sides are parallel?

Q. Question 90
Fill in the blanks to make the statements true.
In trapezium ABCD with $AB\parallel CD$, if $\angle A={100}^{\circ }$, then $\angle D=$ ___.

Q. Which of the following is not true about parallelogram.

1. Opposite angles are equal.
2. Opposite sides are parallel.
3. Adjacent sides are equal.
4. Adjacent angles are supplementary.

Q.

What type of triangles is this ? Also, say whether they are regular or irregular polygons.

Q. In the trapezium ABCD shown below, if $\angle ADC={120}^{\circ }$, then find the measure (in degrees) of $\angle DCB$.

1. 60

Q.

What is the measure of any exterior angle of a regular nonagon?

1. ${100}^{\circ }$

2. ${140}^{\circ }$

3. ${40}^{\circ }$

4. ${90}^{\circ }$

Q. In parallelogram ABCD, if the bisector of adjacent angles A and D intersect each other at point P, then the value of $\angle$APD = 60^{\circ}\). State with true or false.

1. True
2. False

Q. In the following figure ABCD is a trapezium in which $AB\parallel DC$. Find the measure of $\angle C$.

Q. In the figure, ABCD and AEFG are parallelograms. If $\angle C={55}^{\circ }$, what is the measure of $\angle E$?
​​​​​​​

1. ${55}^{\circ }$
2. ${125}^{\circ }$
3. ${155}^{\circ }$
4. ${35}^{\circ }$

Q.

State that given figure is a polygon or not ? if yes, Name them.

Q.

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Q.

There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is mentioned about different colored sides.

Which of the following is true?

1. black track $=$ green track

2. red track $=$ green track

3. black track $=$ red track

4. blue track $=$ green track

Q.

Find the angle x from the figure if ABCD is a parallelogram in which $\angle DCB$ and $\angle ABC$ are in ratio 2:7.

1. 

2. 

3. 

4. 

Q.

A parallelogram has two diagonals HF and EG. Choose the statement which is not correct for the parallelogram.

1. 

2. 

3. HE = GF

4.