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Can a trapezium have all angles equal? Can it have all sides equal? Explain.

Sagot :

Final answer:

A trapezium cannot have all angles equal but can have all sides equal, known as a trapezoid.


Explanation:

A trapezium is a quadrilateral with at least one pair of parallel sides. It cannot have all angles equal because the sum of angles in a trapezium is 360 degrees, and if all angles were equal, they would each have to be 90 degrees, which is not possible in a trapezium.

However, in a trapezium, all sides can be equal. This special case is known as a trapezoid, where all four sides are of equal length, making it a special type of trapezium.


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