Question

What are the properties of aTrapezium?

Answer 1

A quadrilateral in which one pair of opposite sides is parallel is called a trapezium.

The properties of a trapezium are ----

i)one pair of opposite sides is parallel.

ii)two pairs of adjacent angles(which form pairs of consecutive interior angles) are supplementary.

Isosceles Trapezium : If the two non-parallel sides of a trapezium are equal,it is known as an isosceles trapezium.

Properties:

i) one pair of opp sides is parallel.

ii)two pairs of adjacent angles are supplementary

iii) angles on the same base are equal

iv) diagonals are equal in length

Answer 2

Hii....
Here is your answer
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ⓟⓡⓞⓟⓔⓡⓣⓘⓔⓢ ⓞⓕ ⓣⓡⓐⓟⓔⓩⓘⓤⓜ

• A trapezium has exactly one pair of parallel sides.

• A line segment joining midpoints of non-parallel sides is parallel to the parallel sides.

• A line segment joining midpoints of the parallel side is half the sum of the lengths of its parallel sides i.e. mid-segment = 1/2 (base1 + base2).

• If a trapezoid is having sides a, b, c and d and diagonals p and q, the following equation holds
true - p² + q² = c² + d² + 2ab

• One pair of opposite sides are parallel

• Sum of angles is 360°

• Diagonals bisect each other

ⓗⓞⓟⓔ ⓘⓣ ⓗⓔⓛⓟⓢ!!