Question

trapezium properties

Answer 1

Answer:

Every trapezium shows the following properties:

Angle: The sum of angles in a trapezoid-like other quadrilateral is 360°. So in a trapezoid ABCD, ∠A+∠B+∠C+∠D = 360°.

Two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°.

Its diagonals bisect with each other.

The length of the mid-segment is equal to 1/2 the sum of the bases. In the above figure mid-segment= 1/2 (AB+CD)

In special cases of the isosceles trapezium, legs of the trapezium are congruent to each other. This means that despite being non-parallel, the measurement of both the legs is equal.

Answer 2

$\huge{\underline{\tt{\green{Trapezium-}}}}$Trapezium is a geometrical quadrilateral which has 4 side. It has 1 pair of parallel lines.

• Area = (1/2)h (Sum of parallel sides)

$\longrightarrow \tt\frac{ 1}{2}h\:(AB + CD)$

• Perimeter = Sum of all sides.

${\underline{\tt{\orange{AB+BC+CD+DA}}}}$

$\huge{\underline{\tt{\green{Properties\:Of\:Trapezium}}}}$

• The one pair of parallel sides are called it's base and the non parallel sides are called leg.

• The diagonals of trapezium bisect each other.

• As Trapezium is a quadrilateral, The sum of all angles are 360° .

• The opposite sides of trapezium is parallel.

• The Trapezium has 4 vertices and 4 edges.

• The sum of two adjacent angles of trapezium is supplementary.