**Trapezoid is a quadrilateral whose one pair of opposite sides are equal.**

**Isosceles Trapezoid: **In the given trapezoid of the pair of non-parallel lines are congruent then the trapezoid is called an isosceles trapezoid.

**Properties Isosceles Trapezoid:**1. The two non-parallel sides are of equal length.

In the above trapezoid ROME, RE = MO.

2. The base angles on each of the parallel lines are of equal measure.

$\angle R$ = $\angle O$ and $\angle E$ = $\angle M$

3. The diagonals are of equal measure.

RM = EO

4. Pair of interior angles on the same side of the non-parallel lines are supplementary.

$\angle R$ + $\angle E$ = 180

^{o} $\angle M$ + $\angle O$ = 180

^{o} **Scalene Trapezoid:** A trapezoid in which the non-parallel sides are not of equal measure is called a scalene Trapezoid.

**Properties os Scalene Trapezoid:**1. One pair of opposite sides are parallel.

In the above trapezoid FOIL, FO // L I.

2. Pair of interior angles on the same side of the non-parallel lines are supplementary.

$\angle F$ + $\angle L$ = 180

^{o} $\angle I$ + $\angle O$ = 180

^{o} 3. No sides or angles or diagonals are equal.

**Right Angled Trapezoid: **It is a quadrilateral which a pair of opposite sides are parallel and one pair of adjacent angles measure 90

^{o} each.

**Properties of Right angled Trapezoid:**1. Pair of adjacent angles within the parallel lines measure 90

^{o} each.

2. No sides are equal.

3. The diagonals are unequal.

4. Pair of interior angles on the same side of the non-parallel lines are supplementary.

$\angle S$ + $\angle L$ = 180

^{o} $\angle I$ + $\angle O$ = 180

^{o}
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