Navigate to http://www.math.union.edu/locate/MFA-09-2008/evolver.html
to complete this assignment.

For each exercise:

- Try to
__predict__what will happen,**before**using the software. First write down your own prediction, then describe it to the rest of the group. __Test__your predictions by playing with the program. Discuss the results, and write down a__revised__group answer, based on what you learned.- Finally,
__explain__the revised predictions.

These questions are for theonly.mediancentre

A.Case 1:Start with three points forming a triangle, and add a fourth pointinside the triangle formed by your first three points.not

- What happens to the mediancenre as you shift around the four points,
begin careful never to let any point lie inside the triangle formed by the other 3?- Try to find a
for predicting the position of the mediancentre of four points that meet the condition in italics above.general rule

Predict

Test & Revise

Explain

B.Transition:Begin to move one of the points along a straight line directly towards the mediancentre until itreachesthe mediancentre.

- What hapens to the mediancentre as you do this?
Predict

Test & Revise

Explain

C.Case 2:When your moving pointreachesthe mediancentre, continue to move it in the same direction, staying on the same straight line path. Keep moving the point in the same direction until you feel confident that nothing really new will happen.

- What happens to the mediancentre as you do this?
- Create a
for predicting the mediancentre of four points when one of the fourgeneral ruleinside the triangle formed by the other three.isPredict

Test & Revise

Explain

D.General Case:Try to find a(expressed using cases, as we did for triangles) for predicting the location of the mediancenre ofgeneral ruleanyfour points.(Hint: do the 2 cases above cover all the situations?)

Predict

Test & Revise

Explain