No.
YES
Yes. Remember that rectangles and squares are both parallelograms. Square tiles are the most common. The next most common are rectangles. Both shapes can tessellate finite planes. Other parallelograms can tessellate infinite planes (or finite ones if you allow parts of the parallelogram along the edge of the plane.)
No not all shapes tessellate.
Parallelograms tessellate a plane because their opposite sides are parallel and equal in length, allowing them to fit together without gaps or overlaps when arranged in a repeating pattern. Additionally, the angles of a parallelogram sum to 360 degrees, enabling them to cover a surface completely. This property allows for various configurations, making them versatile shapes for tiling.
they all tessellate because they all fit together
All squares are parallelograms, but all parallelograms are not squares.
Yes, a parallelogram can tessellate. Tessellation occurs when a shape can cover a plane without any gaps or overlaps, and parallelograms meet this criterion due to their opposite sides being equal and parallel. When arranged in a repeating pattern, parallelograms can fill a space completely, making them effective for tessellation. This property is why they are commonly used in various tiling designs and patterns.
No trapezoids are parallelograms, and no parallelograms are trapezoids.
No trapezoids are parallelograms, and no parallelograms are trapezoids.
Yes, they will all tessellate an infinite plane.
No but all parallelograms are trapezoids
No, but all parallelograms are trapezoids.