can a trapezium have all angles equal? Can it have all sides equal? Explain.
Answers
Answer:
Trapezium has two sides parallel and other two sides are non parallel. Parallel sides may be equal or unequal but we cannot have a trapezium with all sides and angles equal.
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why not !?!!
see,
when we learn the definition of trapezium, what do we learn is 'a quadrilateral having it's one pair of opposite sides parallel is known as a trapezium' .
we never learn it as 'a quadrilateral having it's one pair of opposite sides non-parallel'
having one pair of opposite sides parallel is the basic criteria it doesn't mean that it can't have another side parallel too or it's sides can't be equal in length.
I would like to clarify it more by an example if I'm permitted to....
so yaah!!
take the example of square (a perfect quadrilateral ) , you know what, each and every square is a rhombus, a rectangle, a parallelogram, a kite and a trapezium because it satisfies all the conditions required to be that specific figure.
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