A rectangle is a four sided polygon with four right angles and two pairs of parallel side. [Equal sides is not required since it is implied by parallel and right angles].
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Opposite sides of a rectangle must always be equal.
All four angles of a rectangle must equal 90 degrees each.
Isosceles trapezoid and rectangle
When all the vertices of a plane quadrilateral are exactly equal to 90 degrees it is is called a rectangle and, if all its sides are of equal length, that rectangle is called a square. So when a plane quadrilateral has all its vertices exactly equal to 90 degrees, but it does not have all its sides equal in length, it must be a rectangle but not a square.
Yes, a rectangle can be a parallelogram. A rectangle is a type of parallelogram with all angles equal to 90 degrees. Additionally, opposite sides of a rectangle are equal in length. Therefore, all rectangles meet the definition of a parallelogram, but not all parallelograms are rectangles.