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Copies of Line Segments and Angles

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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.

License: CC BY-NC 3.0

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.

Image Attributions

  1. [1]^ License: CC BY-NC 3.0

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