A trapezium (called Trapezoid in the US) is a quadrilateral which has only one pair of parallel sides. The parallel sides are referred to as ‘bases’ and the other two sides are called ‘legs’ or lateral sides.

## What are the elements of a quadrilateral?

A quadrilateral has 8 elements – 4 sides and 4 angles. In addition to these elements a quadrilateral has 2 diagonals which play an important role in determining the size and shape of a quadrilateral. Thus a quadrilateral has 10 elements (4 sides, 4 angles and 2 diagonals) or measurements.

## How do you jump a quadrilateral?

Steps of construction:

1. Draw diagonal PU of length 6. 5cm.
2. Taking 4. 5cm as radius & P as center, draw an arc on top of PU.
3. Taking 3. 5cm as radius & U as center, draw an arc on top of PU.
4. Taking 5cm as radius & P as center, draw an arc on bottom of PU.
5. Taking 4cm as radius & U as center, draw an arc on bottom of PU.

## How do you construct a quadrilateral PQRS?

Draw a line segment PR=7 cm.

1. With 4 cm as radius, draw an arc from P.
2. Similarly, with radius as 6 cm from R, cut the arc just drawn.
3. They will intersect at Q. Join PQ and QR.
4. They will intersect at S. Join PS and RS.
5. PQRS is the required quadrilateral.

## Is it possible to construct a quadrilateral ABCD in which ad 3cm?

Answer: No, it is not possible to construct a quadrilateral ABCD because here AD=3 cm and DA=7.5 cm which refer to same side. Any side cannot have two different measurements.

## How do you construct a quadrilateral Class 8?

Step 1: Draw AB=4. 2 cm. Step 2: With A as the centre and radius equal to 8 cm, draw an arc. Step 3: With B as the centre and radius equal to 6 cm, draw another arc, cutting the previous arc at C.

## How do you construct a quadrilateral with a compass?

1. Place the compass on the vertex of the angle (point B). Draw an arc across each arm of the angle.
2. Place the compass on the point where one arc crosses an arm and draw an arc inside the angle.
3. Use a ruler to join the vertex to the point where the arcs intersect (D).

## Can a quadrilateral ABCD be a parallelogram?

Since opposite angles are equal in parallelogram and here opposite angles are not equal in quadrilateral ABCD. Therefore it is not a parallelogram.

## Which of the following elements of a quadrilateral are sufficient to construct a quadrilateral?

Answer. Atleast 5 values are required to construct a quadrilateral. Explanation: Quadrilateral has 10 elements that includes 4 sides, 4 angles and 2 diagonals.

## How many parts does a quadrilateral have?

Properties of a Quadrilateral: A quadrilateral has 4 sides, 4 angles and 4 vertices. A quadrilateral can be regular or irregular. The sum of all the interior angles of a quadrilateral is 360°.