#  >> K-12 >> K-12 Basics

How to Cut a Square Into Two Trapeziums

The square is the most regular of all the quadrilaterals, with four equal sides and four equal angles. Since every side is parallel to its opposite, cutting a square to produce two trapezoids is easy: just slice arbitrarily from a point on one side to another point on the opposite side. Cutting to create two trapeziums, defined as quadrilaterals with no parallel sides, actually is a little more complicated.

Things You'll Need

  • Paper on which a square is drawn
  • Ruler or other straight edge
  • Pencil
  • Scissors
Show More

Instructions

    • 1

      Label the corners of the square A, B, C and D, in a clockwise order, so that A is adjacent to B and D, and opposite to C.

    • 2

      Choose an arbitrary point somewhere inside the square, and label it E.

    • 3

      Draw a straight line from point A to point E, and another from point C to point E. This will divide the square into two trapeziums.

    • 4

      Cut along the straight lines you have drawn from point A to point E, and from point C to point E.

Learnify Hub © www.0685.com All Rights Reserved