Proofs Often proofs are constructed by working backwards. For example: Starting with the desired conclusion T, you could say, "If I could prove statement A, then using previously proved theorem B, I could conclude that T is true." This reduces your proof to proving statement A, then saying at the end of that proof, "Using Theorem B, T is true." Often there are many possibilities for A (and B). The trick is to pick one you can prove!
Is a method for studying geometry that illustrates congruence and similarity by use of transformations
Therefore a transformational proof is a proof that employs the use of transformation
Transformation Proof An isometry is a transformation of the plane that preserves length. For example, if the sides of an original pre-image triangle measure 3, 4, and 5, and the sides of its image after a transformation measure 3, 4, and 5, the transformation preserved length. A direct isometry preserves orientation or order - the letters on the diagram go in the same clockwise or counterclockwise direction on the figure and its image. A non-direct or opposite isometry changes the order (such as clockwise changes to counterclockwise).