Oct
2016
Check-Up 2
When I started this assignment I was a little scared because there were so many shapes. I then realized that they can each fit into three categories of general shapes, and then I only have to worry about the shapes in those categories and if they are similar or not. One category was just shape v, and so there was nothing for that to be similar to so I knew v wasn’t similar to anything. Then I went to the triangles. I measured the side lengths, and then realized x can’t be similar to y or w because the not all the corresponding angles were congruent. Then, I realized y and w are similar because all the corresponding angles were congruent, and there was a scale factor from y to w of 2. I then went on to the rectangles. I immediately knew u could not be similar to anything because there was no scale factor to any of the other triangles. I then saw t and z were similar because the corresponding side lengths from t to z, the lengths had doubled. That meant the scale factor from t to z was 2.
For the next side I started by measuring the sides of the original shape. The original rectangle (E) had a length of 4 and the other one was 3. I then created another triangle that was the same as E, just had lengths of 2 and 1.5 (A), and so the scale factor from E to A was 1/2. For next question, I just created a rectangle that had no scale factor to E. For the next question, I created another triangle that had the same angles as the original (F), just the side lengths were 1/2 the size. For the last question, I made a right triangle because then the corresponding angles weren’t congruent so it wasn’t similar.