Monica folded a piece of paper to create a quadrilateral with two pairs of parallel sides. Which answer shows all the possible classifications of the shape Monica created?

A.
rectangle, rhombus, square, and trapezoid
B.
rectangle, rhombus, and square
C.
parallelogram, rectangle, rhombus, and square
D.
parallelogram and trapezoi

1 answer

Monica created a shape with two pairs of parallel sides, which means the shape she created must be a parallelogram. Additionally, depending on its specific properties, it could also be classified further as a rectangle, rhombus, or square.

Here’s the breakdown:

  • Parallelogram: This is a general classification for a quadrilateral with two pairs of parallel sides.
  • Rectangle: A type of parallelogram where all angles are right angles.
  • Rhombus: A type of parallelogram where all sides are of equal length.
  • Square: A specific type of rectangle and rhombus where all sides are of equal length and all angles are right angles.

Based on this information, the correct answer is:

C. parallelogram, rectangle, rhombus, and square.