Question

Which of these shapes is a parallelogram but not a square?Select all that are true.​

Answer 1

Answer: The top right and bottom right polygons are parallelograms and not squares.

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides opposing each other.

A square is a quadrilateral with two pairs of parallel sides opposing each other; however, all four sides must be equal and all angles must equal 90 degrees.

Any quadrilateral that is a parallelogram and not a square has angle measures that are not 90 degrees (or have unequal sides).

• The top left image is neither. There are two sets of equal sides, but they are not parallel.
• The top right image is a parallelogram, as it has two pairs of parallel sides opposing each other. It is not a square, as the side lengths are unequal.
• The middle left image is neither. There are not two sets of parallel sides.
• The middle right image is a square and a parallelogram. All its sides are equal, and it has two sets of opposing parallel sides.
• The bottom left image is neither. It only has one set of parallel opposing sides, and they are not equal in length. (This is a trapezoid.)
• The bottom right image is a parallelogram, as it has two pairs of parallel sides opposing each other, and the side lengths are unequal.

Only the top right and bottom right images are parallelograms and not squares.