Which of the following statements is never true? a. a rectangle is a parallelogram. b. a square is a rhombus. c. a parallelogram is a rhombus and d. a trapezoid is a rectangle.

D). A Trapezoid is a rectangle

Explanation:

A Trapezoid can never be a rectangle. As a Trapezoid is a quadrilateral with at least two parallel sides but do not have all of its sides at right angles like rectangle which is a major difference between a trapezoid and a rectangle.

A rectangle is a quadrilateral with opposite sides equal and parallel, also all of its sides are at right angles with each other i.e 90 degree.

A parallelogram is a quadrilateral with opposite sides parallel.

A square can be a rhombus but a rhombus cannot be a square as a square has all of its sides at right angles which is not necessary in case of a rhombus.

Also, a parallelogram can be a rhombus but a rhombus is always a parallelogram.

Thus, option (D) can never be true in any case.