Questions: a This shape is a trapezoid square quadrilateral rectangle b How do you know that the shape is not a trapezoid? Use labeled sketches, numbers, or words to explain.

Solution Steps

The given shape has four sides, making it a quadrilateral. It appears to have one pair of parallel sides, and adjacent sides are not perpendicular. This suggests the shape is a parallelogram but not a rectangle or square. Since a trapezoid has only one pair of parallel sides, it's plausible that this shape could be a trapezoid.

A trapezoid, by definition, has _exactly_ one pair of parallel sides. Although the original image makes it look like there is only one pair of parallel sides, it also looks like it might be a parallelogram drawn at a slight slant. Parallelograms have _two_ pairs of parallel sides. Without more information (like side lengths or angle measures), we can't definitively say it's _not_ a parallelogram. Therefore, we cannot definitively classify it as a trapezoid.

To explain visually, imagine a parallelogram: Now imagine tilting it: The given shape resembles the tilted parallelogram. Unless we have additional information confirming it has _only_ one pair of parallel sides, we can't conclude it's a trapezoid.

a. This shape is a quadrilateral. It may also be a parallelogram, or a trapezoid. It is not a square nor a rectangle.

b. I cannot definitively say the shape is not a trapezoid based on the image alone. A trapezoid has exactly one pair of parallel sides. The shape in the image appears to have only one pair, but it might also be a slanted parallelogram (which has two pairs of parallel sides). More information is needed to classify it with certainty.

Final Answer