1. Load this Geogebra file

You should see this polyline.

1. Now move point H to position (4,2)

The move must leave the polyline remain at a = 10.

2. Now move any of the points C to K.
3. You may only move the point one integer coordinate at a time.
4. You may not cross over or go back!
5. Each time you move these points the polyline value must remain a = 10.

1. If you walk from Melbourne Central to Parliament, what is the distance?
2. What is the distance if you return to Melbourne Central?
3. Explain why a return path of this shape would always have length of 20.
4. What type of walk would you make if you broke the rule a = 10 ?

5. Use the "Interval between two points" to draw a straight line from Melbourne Central to Parliament.
6. Save a copy of your new polyline walk in your "Maths is Amazing" folder.