Question

Problem 6 Let's do the above process the other way around: First transform the square ABCD, using G, to obtain figure A B C*D*. Then transform the resulting figure, using

F, to obtain A**B**C**D**. [Note: Don't worry about the "variables" x, y, and z here. Simply substitute the coordinates of A, B, C, and D into Equations (2)and then substitute the results into Equations (1).] Are A**B**C**D** and A"B"C"D"the same? What does this tell you about the order in which we perform the transformations F and G?

Fig: 1

Fig: 2