Congruent Transformation



Let's transform quadrilateral ABCD to parallelogram , rectangle, or triangle .
The point P ,Q ,R and S are midpoints of AD ,AB ,BC and CD respectively.

How to transform quadrilateral ABCD

  • to parallelogram

    We divide ABCD into four pieces by PR and QS ,and move the pieces like the following figure.
  • to rectangle

    In the following figure ,PT and RU are perpendicular to QS .We divide ABCD into four pieces by PT ,RU and QS ,and move the pieces like the following figure.
  • to triangle

    We put the point T on PQ .We divide ABCD into four pieces by PQ ,RT and ST ,and move the pieces like the following figure.
  • Let's consider we can transform like them.



    Applet

    How to use this applet.


    1.Drag A,B,C and D to change ABCD .

    2.Press "define" button to go to next step.

    3.Check "to Parallelogram" ,"to Rectangle" or "to Triangle" to select the mode.

    4.Drag red the point to transform to the type that you selected.
    Drag red point.