They're both quadrilaterals (have 4 sides)
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Both trapezoids and rectangles are quadrilaterals.
squares and rectangles
The only way they are both alike as if they a equilateral.
they are not congruent
Yes. Those trapezoids with four right angles are called squares. Since in order to be a trapezoids, a shape must be a quadrilateral with with one set of parallel lines, and a square fits those requirements. In conclusion, the trapezoids that have four right angles are squares.