Which statements are true? Choose all answers that are correct. A. All rectangles are parallelograms. B. All squares are rectangles. C. All squares are rhombuses. D. All rhombuses are trapezoids.

*The correct answers are:*

A, B and C. *Explanation**: *

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

A rectangle is a parallelogram with all right angles, so yes, every rectangle is a parallelogram.

A square 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.

A rhombus is a parallelogram with all congruent sides.

Since a square is a parallelogram with all congruent sides, then every square is a rhombus.

A trapezoid 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.

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