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GeoGebraGeoGebra Classroom

Trisect Challenge

Directions

Use Geogebra to find the trisect (one-third) point of a given segment • The given segment AB must be the first object created on the screen • Use MEASURE to demonstrate that your method works • You may not use the feature called “dilate” in the transformations menu. All other menu items (such as “construct midpoint” or “construct perpendicular” are fair game.) • Email your solutions as soon as you get them to: kweber@headroyce.org or jfuentes@headroyce.org • There are numerous ways to trisect a segment. You may hand in more than one solution. We will let you know if you found a truly new method or if you basically did the same thing again in a slightly different way. Scoring You need to find 4 possible methods for trisections for full credit. Any additional methods will be counted towards extra credit. Your submissions should SHOW all your circles and segments. Warning • Please...do not cheat! You must avoid the temptation to peek at other student’s solutions or talk to your friends about this assignment. Furthermore, there are plenty of solutions on the internet - no peeking!

Trisection Method 1

Trisection Method 2

Trisection Method 3

Trisection Method 4

Trisection Method 5 (Extra Credit)

Trisection Method 6 (Extra Credit)