Question

3. Which of the following statements are true about a trapezium?
a. Opposite sides are parallel and equal.
b. One pair of opposite sides is parallel.
c. Adjacent sides are equal.
d. Diagonals are equal.​

Answer 1

Answer:

Adjacent sides r equal

Step-by-step explanation:

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Answer 2

Answer:

b) One pair of opposite sides are parallel.

Step-by-step explanation:

A quadrilateral with at least one pair of parallel sides is called, in American and Canadian English, a trapezoid. In British and other forms of English, a trapezoid is called a trapezium. The transposition of these two terms was a result of an error in Charles Hutton's mathematical dictionary.

Properties of Trapezium

• It is a 2D shape.
• The bases of a trapezium 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 sum up to 180°.
• The sum of all the interior angles in a trapezium is always 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. the 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

A trapezium is a two-dimensional quadrilateral (as it is made of four straight lines) having a pair of parallel opposite sides. The opposite parallel sides are referred to as the base and the non-parallel sides are referred to as legs of the trapezium. It is a closed plane shape having four sides and four corners

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