<u><em>The correct answers are:</em></u>
B, D, and E.
<u>A parallelogram</u> is a quadrilateral with both pairs of opposite sides parallel.
<u>A rectangle</u> is a parallelogram with all right angles, so yes, every rectangle is a parallelogram.
<u>A square</u> is a parallelogram with all right angles and all congruent sides; since it is a parallelogram with all right angles, every square is a rectangle.
<u>A rhombus</u> is a parallelogram with all congruent sides.
Since a square is a parallelogram with all congruent sides, then every square is a rhombus.
<u>A trapezoid</u> is a quadrilateral with one pair of parallel sides. Since a rhombus is a parallelogram, with 2 pairs of parallel sides, rhombus are not trapezoids.