Step 1) Move points A, B, and C, paying attention to the ratio \overline AG to \overline GD.

Step 2) Select the segment tool and construct segments BG and GE.

Step 3) Right-Click on a segment bringing up the "properties" menu. Then show the "value" for segments BG and GE.

Step 4) Calculate the ratio, \overline BG to \overline GE.

 

Step 5) Repeat Steps 2 through 4 for segments CG and GF.

 

Step 6) Make a conjecture about the ratio of a triangles medians;

(vertex to centroid) divided by (centroid to midpoint)

 

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CONCEPTS / QUESTIONS you need to be familiar with and able to respond to:

1) With respect to the centroid, what is ratio of each median.

2) Very specifically, be able to calculate, if \overline BG= 13.5, what is the length of \overline GE?

3) If AF = 3x -9, FB = 2x - 4, and

AE = 2x + 1, what is CE?