Study this image from our math handbook:
Talk with your group, then explain with precise mathematical vocabulary, the difference between these polygons: quadrilateral, parallelogram, rhombus, rectangle, square. Tell how a shape can have more than one of these names at a time.
20somethingkids and 1kookyteacher 
A quadrilateral is any shape with four sides. A parallelogram is a shape the has two sets of parallel lines. A rectangle has four right angles. A rhombus is a quadrilateral and a parallelogram. A square is a parallelogram, equilateral, rectangle, rhombus, and it has four right angles.
–Seamus, Zoe, Sophia, Rebekah, Jernandra.
A polygon is a shape with straight sides, closed sides, and no intersecting lines. So we could call all of these shapes polygons.
A quadrilateral is a shape with 4 sides. So (for example) a square is a quadrilateral.
A parallelogram has 2 pairs of parallel sides, for example, a rhombus.
~Owen, Keelan, Luke, Aiden
A quadrilateral is a shape with 4 sides. For example a rectangle,trapezoid,rhombus, and squares are all quadrilaterals. A square has 1 right angle at each corner. A rhombus is a quadrilateral. It’s also a parallelogram because it has 2 pairs of parallel sides. A trapezoid is a quadrilateral, but NOT a parallelogram because it only has 1 set of parallel sides. Square is a quadrilateral, rhombus, rectangle, and a parallelogram.
Rosie, Don, Jack, and Anna K.
A quadrilateral is any shape with four straight sides.A parallelogram has 2 sets of parallel lines but it is also a quadrilateral.A quadrilateral has 4 angles too.A quadrilateral has no intersections also.