In its most general form, a trapezoid (or trapezium, outside of North America) is a four-sided figure with exactly one pair of parallel sides. The two parallel sides do not have to be the same length; therefore a trapezoid will have either:
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The base angles are congruent in an isosceles trapezoid
If the trapezoid is an isosceles trapezoid, with congruent legs, then the base angles are congruent. Otherwise, no.
A trapezoid can have either none or two right angles.
There are two pairs of congruent base angles in an isosceles trapezoid.
A trapezoid is a quadrilateral with a set of parallel lines. Because it is a quadrilateral, it has four angles.