To complete the first side of this handout I had to figure out which shapes were mathematically similar. Earlier that day in math class we learned about what to look for when trying to figure out if two shapes are similar. You have to see if the corresponding angles are congruent and you have to see if the two shapes are related by a scale factor. What I did first was I measured the side lengths of each shape to see if I could make any comparisons. I also looked at the general shape of each figure to see if I could make any guesses about which shapes were similar. After I found which shapes were similar, I wrote the scale factor and explained my work and thoughts!

For the second side I did each question individually as if it were its own problem. For the first problem I knew that if a figure was congruent, it would be identical to the original one. To keep the figure similar the corresponding angles had to be congruent which was quite simple because it is a rectangle. The two figures also had to be related by a scale factor. I made the scale factor 2 and .5 which gave me 8×6! For the next problem I drew a 5×5 rectangle which is in no possible way similar to the original rectangle. For the next problem I did the same thing that I did for the first one. For the last one I made a right triangle which makes not all of the corresponding angles congruent.