equilateral triangle
Which method do you find easier—making constructions by hand using a compass and straightedge or constructing using technology? Why?
I find that constructing using technology is easier because it is more like picking a point and if that point doesn't work you can just click on the mouse (move button) to direct that point to another location were the construction would work.Now if i was using a compass and a straightedge i would have to make sure that when constructing an angle i don't make any changes in the compass if so my construction would be wrong even a little inch of a move on the compass can mess up my whole construction this is why i believe that construction using technology is easier.
What are the benefits to using technology over a handheld compass and straightedge?
Some benefits of using technology over handheld compass and straightedges is that it is easier to erase or start over.Another is that when your using technology rather then a compass and a straightedge it calculates where you are putting your points and solving the problem for you so pretty much it does all the hard work for you.
What are the limitations to using technology over a handheld compass and straightedge?
The limitation to using technology over a handheld compass is that technology runs out of battery and you would need internet access if you don't have neither one of these it would be hard to do your work as of a straightedge and a compass you can do this by using just paper in pencil.
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?
Cause if your using the shorter segment from the end points the arcs will not intersect. but if your using the longer segment the arcs will intersect.
For an example if i drew the perpendicular bisector of a line AB, I have to set the radius slightly longer than half the length of AB. Then i will be able to draw two arcs on either side of AB from point A and two arcs from point B. Then from there , Joining the points of intersecting arcs you get the perpendicular bisector.