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A trapezoid is a special type of quadrilateral in which one pair of opposite sides are parallel.

In the above trapezium, AB is parallel to DC and AD & BC are non-parallel sides.

It is also called as non isosceles trapezoid, since the non-parallel sides are not of equal lengths.

In the above trapezium, AB is parallel to DC and AD & BC are non-parallel sides.

It is also called as non isosceles trapezoid, since the non-parallel sides are not of equal lengths.

In the above trapezoid ABCD, Area of ABCD = Area of $\Delta$ABC + Area of $\Delta$ADC.

= $\frac{1}{2}$ x AB x h + $\frac{1}{2}$ x CD x h

= $\frac{1}{2}$ ( AB + CD ) x h

= $\frac{1}{2}$ x (sum of parallel sides ) x height

In the above trapezoid ABCD, AB is parallel to CD. The non-parallel sides AD and BC are of equal lengths.

(i.e) AD = BC.

1. Only one pair of opposite sides are parallel. AB // DC.

2. The other pair of opposite sides are non-parallel BC is not parallel to AD.

3. (Isosceles trapezoid diagonals) The Diagonals of isosceles trapezoid are equal. (i.e) The diagonals AC = BD.

4. (Isosceles trapezoid angles) Two pairs of angles of isosceles trapezoid are equal.[ pairs of acute angles and pairs of obtuse angles are equal ]

(i.e) $\angle$A = $\angle$B and $\angle$C = $\angle$D.

5. Pairs Interior angles on the same side of the non-parallel sides and between the parallel lines are supplementary.[ sum of an acute + obtuse angle = 180° .

6. The sum of all the interior angles = 360°.