An isosceles trapezoid (called an isosceles trapezium by the British; Bronshtein and Semendyayev 1997, p. 174) is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.

trapezium is a quadrilateral with four sides. one pair of its opposite sides are parralel and the pther pairs are non parallel. if the non parallel sides are of equal lenght then it will become an isosceles trapezium.

The formula to calculate the area of an isosceles trapezoid is Area = (sum of parallel sides ÷ 2) × height.

Likewise, because of same-side interior angles, a lower base angle is supplementary to any upper base angle. But there’s one more distinguishing element regarding an isosceles trapezoid. A trapezoid is isosceles if and only if its diagonals are congruent.

If, however, we define an isosceles trapezoid to be a “trapezoid with congruent base angles”, the legs can be proven congruent, a parallelogram will NOT be an isosceles trapezoid, and all of the commonly known properties of an isosceles trapezoid will remain true.

An isosceles trapezoid has one pair of parallel sides and another, different pair of congruent sides. They look like this: The trapezoid has one line of symmetry – the cyan line. The green angles are congruent, and the orange angles are congruent.

Trapezium. Some trapeziums have one line of symmetry. They are called isosceles trapeziums as they have two equal sides like isosceles triangles.

We know, a parallelogram is a special type of quadrilateral that has equal and parallel opposite sides. Therefore every parallelogram is not a trapezium.

Properties of Trapezium

• The bases of a trapezium(isosceles) are parallel to each other.
• The length of both the diagonals is equal.
• The diagonals of a trapezium always intersect each other.
• The adjacent interior angles in a trapezium sum up to be 180°.
• The sum of all the interior angles in a trapezium is always 360°.

A trapezium cannot have four right angles. A trapezium is a quadrilateral, which means that it has four sides and four angles, and the total of its…

The trapezoid has two right angles.

A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

There are three special types of a parallelogram.

• Rhombus: A parallelogram in which all sides are equal. Here AB = BC = CD = DA.
• Rectangle: A parallelogram in which all angles are right angles and the diagonals are equal.
• Square: A parallelogram with all equal sides and all angles equal to 90 degrees.

A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides. No, because a rhombus does not have to have 4 right angles.

In a parallelogram, if one of the angles is a right angle, all four angles must be right angles. If a four-sided figure has one right angle and at least one angle of a different measure, it is not a parallelogram; it is a trapezoid.

Never, If a parallelogram contains one right angle, then it must also contain three other right angles. The consecutive angles must be supplementary to the first right angle because of P-SS, so the two consecutive angles must be 90°, meaning that they are also both right angles.

A Parallelogram can be defined as a quadrilateral whose two s sides are parallel to each other and all the four angles at the vertices are not 90 degrees or right angles, then the quadrilateral is called a parallelogram.