### Copies of Line Segments and Angles

#### Practice, Excercies, and Food for Thought

1) Draw an arrow similar to the one below on your paper using a straightedge. Then, using only your compass and straightedge, make a copy of the arrow. If you need help, visit this site: https://www.youtube.com/watch?v=38dkb_0egjU

Hint: Divide the arrow into multiple triangles. Then try to copy the triangles' angles and connect the dots.

2) Try recreating the arrow above using only the compass and straightedge on *Geometer's Sketchpad* or another digital constructions application.

3) Describe the difference between drawing and mathematical constructions. What are the benefits of both?

4) Why is a compass a great tool for copying distances? What about its ability to produce circles makes it so special?

5) What everyday item can help you make precise reflections?

6) Draw a line segment using a straightedge. Then using a ________ and straightedge, make an exact copy of it.

7) Use your protracter to draw a 72 degree angle. Then, *using only a compass and straightedge*, make an exact copy of the angle. Help.

8) What approach would you use to the following problem? How does the approach integrate problems 6 and 7?

An angle is created from two line segments. Use a straightedge to draw a similar figure on your paper. Then, use the straightedge and compass to copy the figure exactly.