A trapezoid need not have any equal sides, but it may have some equal sides. The only requirements to be a trapezoid, is that it has 4 sides, and at least one pair of parallel sides.
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No, a trapezoid does not have 4 equal sides.
Not necessarily. The two sides of equal length could be adjacent sides.
If the two sides which are not parallel have equal lengths, then the trapezoid is called an isosceles trapezoid (standard trapezoid has unequal sides). The base angles in an isosceles trapezoid are equal in measurement, also I know that a trapezoid with two nonparallel sides the same length is called an isosceles trapezoid.
No.
No.