Trapezium

Q. A quadrilateral in which one pair of opposite sides are parallel is called a .

1. trapezium
2. rhombus
3. parallelogram
4. rectangle

Q.

A quadrilateral having one and only one pair of parallel sides is called

1. Rectangle

2. Rhombus

3. Parallelogram

4. Trapezium

Q.

A quadrilateral that has only two of its sides parallel to each other is a trapezium.

1. True

2. False

Q.

Question 1 (f)

Say True or False:

The opposite sides of a trapezium are parallel.

Q.

A Quadrilateral in which a pair of opposite sides is parallel, is called a ______ .

1. Parallelogram

2. Trapezium

3. Kite

4. Both parallelogram and trapezium

Q. All Trapezium are parallelograms. State true or false.

1. True
2. False

Q.

Quadrilateral in which only one pair of opposite sides is parallel is known as _______.

1. rectangle

2. parallelogram

3. square

4. trapezium

Q.

In a trapezium, opposite sides are parallel.

1. True

2. False

Q.

Every trapezium is a parallelogram.

1. True

2. False

Q.

Statement 1: A parallelogram is a trapezium.
Statement 2: A trapezium has one pair of opposite sides parallel. A parallelogram has both pairs of opposite sides parallel.

1. Statement 1 is false, statement 2 is true

2. Statement 1 is true, statement 2 is false

3. Both statements are true, statement 2 is the correct explanation of statement 1

4. Both statements are false

Q. A quadrilateral whose two sides are parallel is known as a trapezium. True or false?

1. True
2. False

Q.

A trapezium can have a right angle.

1. True

2. False

Q.

Question 19

Fill in the blank to make the statement true.

A pair of opposite sides of a trapezium is _________.

Q.

In a trapezium ABCD, side AB is parallel to side DC. If $\angle A={72}^{\circ }$ and $\angle C={120}^{\circ }$, then values of $\angle B$ and $\angle D$ are -

1. $\angle B={108}^{\circ }$

   $\angle D={60}^{\circ }$

2. $\angle B={78}^{\circ }$

   $\angle D={120}^{\circ }$

3. $\angle B={60}^{\circ }$

   $\angle D={108}^{\circ }$

4. $\angle B={60}^{\circ }$

   $\angle D={120}^{\circ }$

Q. Identify the types of quadrilaterals given below

1. Rhombus, trapezium, square
2. Rhombus, trapezium, rectangle
3. Trapezium, rhombus, rectangle
4. Rectangle, rhombus, trapezium

Q.

Question 6 (ii)
In the given figures below, decide whether l is parallel to m.

Q.

A box of popcorn is shown in the figure below. Can you identify the quadrilateral hidden in it?

1. Trapezium

2. Rhombus

3. Circle

4. Rectangle

Q. What is the sum of the number of sides of a Hexagon and a Septagon?

1. 10
2. 11
3. 12
4. 13

Q. What is a trapezium? When do you call a trapezium an isosceles trapezium?
Draw an isosceles trapezium. Measure its sides and angles.

Q. If two diagonals of an isosceles trapezium are $2xcm$ and $(3x+2)cm$. Find the value of $x$.

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

Q. Below is a picture of a popcorn cup. Can you identify the quadrilateral hidden in it?

1. Rhombus
2. Square
3. Rectangle
4. Trapezium

Q. A quadrilateral in which one pair of opposite sides are parallel is called a .

1. trapezium
2. rhombus
3. parallelogram
4. rectangle

Q.

State true or false, all parallelograms are trapeziums.

1. True
2. False

Q.

A pair of opposite sides of a trapezium should be ___ .

Q.

The following figure shows a quadrilateral with sides AB and DC parallel to each other.

If $\angle A:\angle D=4:5$

$\angle B=(3x-15{)}^{\circ }and$

$\angle C=(4x+20{)}^{\circ }$

Which of the following options is/are correct ?

1. $\angle A={120}^{\circ }$

   $\angle B={60}^{\circ }$

   $\angle C={120}^{\circ }$

   $\angle D={80}^{\circ }$

2. $\angle A={100}^{\circ }$

   $\angle B={60}^{\circ }$

   $\angle C={120}^{\circ }$

   $\angle D={80}^{\circ }$

3. $\angle A={80}^{\circ }$

   $\angle B={60}^{\circ }$

   $\angle C={120}^{\circ }$

   $\angle D={100}^{\circ }$

4. $\angle A={80}^{\circ }$

   $\angle B={120}^{\circ }$

   $\angle C={60}^{\circ }$

   $\angle D={100}^{\circ }$

Q. The quadrilateral in which only one of the two pairs of opposite sides are parallel is a .

1. trapezium
2. parallelogram
3. rhombus

Q.

A man runs in a particular path in such a way that it is a quadrilateral. The opposite sides and opposite angles of the path are equal. Also, the opposite sides are parallel. Given that the adjacent sides are not equal, what is the quadrilateral called? [4 MARKS]

Q.

In a trapezium ABCD, the angles A, B, C and D are in the ratio 3 : 4 : 5 : 6 respectively.

Which of the following is true ?

1. $AD\parallel BC$

2. $AB\parallel DC$

3. $AD\perp BC$

4. $AB\perp DC$

Q.

In a trapezium ABCD, side AB is parallel to side DC. If $\angle A=x^{\circ }$ and $\angle D=(3x-20{)}^{\circ }$, value of $x=?$

1. $x={20}^{\circ }$

2. $x={60}^{\circ }$

3. $x={80}^{\circ }$

4. $x={50}^{\circ }$

Q.

The angles of a quadrilateral are in the ratio 3:4:5:6. The angles of the quadrilateral are:

1. 40°, 100°, 80°, 140°

2. 60°, 80°, 100°, 120°

3. 30°, 40°, 50°, 60°

4. 10°, 20°, 30°, 40°