Lengths of Segments, Part 2
2. In Round 2, each group chooses any three positive whole numbers. This time, players can change the sign of one of the numbers. Play again to make the longest line segment.
Drag points in each segment to make segments with the coordinate pairs you came up with. Check their lengths and see which coordinate pairs produce the longest segment.
3. Make conjectures:
A. Make a conjecture about how you can find the length of a line segment given 2 endpoints with their coordinates.
B. Make another conjecture about how you can always win the game.
4. Justify your conjectures.
5. Write down your conclusion.