Parallelogram

Q.

If the pairs of opposite sides of a quadrilateral are parallel and equal, then it is called:

1. Circle

2. Parallelogram

3. All of these

4. Triangle

Q.

Which of the following is not a quadrilateral?

1. Square

2. Circle

3. Rhombus

4. Trapezium

Q.

Question 1 (a)

Say True or False:

Each angle of a rectangle is a right angle.

Q.

Two sides of a parallelogram are in the ratio 4 : 3. If its perimeter is 56 cm, find the lengths of its sides.

1. 16 cm, 10 cm, 16 cm and 10 cm

2. 14 cm, 10 cm, 14 cm and 10 cm

3. 14 cm, 12 cm, 14 cm and 12 cm

4. 16 cm, 12 cm, 16 cm and 12 cm

Q. The central angle of a circle is .

1. ${180}^{\circ }$
2. ${360}^{\circ }$
3. ${270}^{\circ }$

Q.

If a quadrilateral ABCD is a parallelogram then

1. AB = CD

2. AB // CD

3. ∠A = 50° , ∠C = 50° , ∠B =130°

4. AB⊥AD

Q.

Which of the following is not a property of a parallelogram:

1. Opposite sides are parallel

2. Opposite sides are equal

3. Opposite angles are equal

4. Adjacent sides are equal

Q. Two sides of a quadrilateral which have a common end point are called its _____

1. equal sides
2. adjacent sides
3. adjacent angles
4. opposite sides

Q.

Which one has all the properties of a kite and a parallelogram?

1. Trapezium

2. Rhombus

3. Rectangle

4. Parallelogram

Q.

The sum of angles of a parallelogram is _________.

1. 120°

2. 108°

3. 60°

4. 72°

Q.

A quadrilateral whose opposite sides and all the angles are equal is a

1. Rectangle

2. Parallelogram

3. Square

4. Rhombus

Q.

In a quadrilateral ABCD, if $\angle A={105}^{\circ }$, $\angle B={75}^{\circ }$
and $\angle C={105}^{\circ }$, then the quadrilateral is a ____

1. Parallelogram

2. Rhombus

3. Trapezium

4. Square

Q.
Which of the following is true about the rhombus ABCD?

1. AB = BC
2. $\angle AED=\angle BEC$
3. AE = BE
4. EB = ED

Q.

In the figure, ABCD is a parallelogram in which $\angle ADC={105}^{\circ },\angle CBE$ is

1. 
2. 
3. 
4. 

Q.

Which quadrilaterals always have diagonals which meet at right angles?

Q.

A parallelogram is called a rectangle if two adjacent sides are equal.

1. True

2. False

Q.

The pair of sides which are not adjacent in a quadrilateral are called ________ edges.

1. crossed

2. complementary

3. opposite

4. supplementary

Q.

A football ground is in the shape of a rectangle. The ends of the centre line (EF) and the midpoints of the end lines (AB and CD) are joined to form a quadrilateral. Find the angle between the diagonals of the quadrilateral so formed?

[3 MARKS]

Q. In a parallelogram, opposite angles are ________ .

1. equal
2. unequal
3. complementary
4. supplementary

Q.

Look at these figures.

1. How many angles are there in each?

2. Which of these can be drawn using set squares?

Q. In a parallelogram, the ___ sides are equal.

1. opposite
2. adjacent
3. perpendicular
4. corresponding

Q.

Which of the following is not a type of parallelogram:

1. Trapezium

2. Square

3. Rhombus

4. Rectangle

Q. What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex?

1. ${360}^o$, No
2. ${360}^o$, Yes
3. ${180}^o$, No
4. ${180}^o$, Yes

Q.

Two adjacent angles of a parallelogram are given. Find the other two angles.

1. ${100}^{\circ }and{80}^{\circ }$

2. ${60}^{\circ }and{120}^{\circ }$

3. ${50}^{\circ }and{130}^{\circ }$

4. ${65}^{\circ }and{115}^{\circ }$

Q.

Diagonals of quadrilateral ABCD bisect each other and $\angle B={100}^{\circ }$ , then the value of $\angle A$ is

1. 
2. 
3. 
4. 

Q.

To check whether Ragini is studying properly or not, Ragini's dad gave her the following figure and asked her what type of figure it is?

1. Rhombus

2. Quadrilateral

3. Polygon

4. All of these

Q. A quadrilateral having all sides equal is a

(a) square
(b) parallelogram
(c) rhombus
(d) kite

Q.

For a quadrilateral to be a rhombus, which statement is true?

1. All sides are equal and opposite sides are parallel

2. Opposite sides are not equal

3. Both the diagonals are equal in length

4. Opposite sides are parallel

Q.

In a parallelogram ABCD, its diagonals intersect at O. If OA = 8 cm and OB = 9.5 cm, then the sum of lengths of AC and BD will be ______.

1. $35cm$

2. $17.5cm$

3. $19cm$

4. $45cm$

Q.

In the figure, ABCD is a parallelogram in which $\angle DCB={60}^{\circ },\angle CBE$ is

1. 
2. 
3. 
4.