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a right trapezoid
In general, trapezoids do not have right angles. In fact, a trapezoid with a right angle is a special case, called a rectangle.
Yes, an isosceles trapezoid can have at least one right angle. In such a trapezoid, the non-parallel sides are equal in length, and if one of the angles between a base and a non-parallel side is a right angle, the trapezoid will still maintain its isosceles properties. This configuration results in a trapezoid that is both isosceles and contains a right angle.
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A right trapezoid.