Parallel Lines: I first placed two dots on the graph (A and B). I then placed two lines through them and added one dot (C) on line A and then a dot (D) on line B. Perpendicular Line: I first looked at the parallel line to where I could put a line. I then placed a dot (L) outside of the parallel line, added a line through it, and then added a dot (M).
1. Which method do you find easier—making constructions by hand using a compass and straightedge or constructing using technology? Why? - I find constructing things by hand is easier because I kept messing up more with technology than I did when I had hand drawn it. 2. What are the benefits to using technology over a handheld compass and straightedge? - Benefits include but are not limited to the following: more precise measurements, doesn't take as long, and you don't have to hurt the environment by using paper. 3. What are the limitations to using technology over a handheld compass and straightedge? Limitations: You don't get hand-on experience and if you mess up sometimes you might have to redo the entire thing and when you are doing it by hand, you do not. 4. In various constructions, you need to use the longer of two segments to construct the radius of a circle. Why do you think this is? What happens if you use the shorter segment? - I think it is because it helps creates a rough sketch that we could erase later or just the fact it could be a good starting point when constructing inscribed polygons. If we use a shorter segment our measurements could be off and mess up the thing we were trying to make.