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GeoGebra
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May 2006

1. Using the circle tool : Click on point B, then anywhere on segment AB; then click on point B as the center of the circle.


2. Using the circle tool, construct the same size circle but with the center as the new point on segment AB.


3. Construct the same size circle but with the center as the intersection of segment BC and the circle with center B.


4. Using the ray tool , construct a ray from point B to the intersection of the circles from steps 2 and 3.


5. Using the intersection tool , click on the intersection of the ray with segment AC.

1. Using the label tool , click on this intersection. The label "D" should appear.


2. Using the hide tool , click on everything constructed in the previous steps EXCEPT point D.


3. Using the segment tool , construct segments AD, BD, and CD.


4. Using the edit tool , click on the segment AD and CD then choose the measurement button. Click "OK".

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Given DG || EF || BC in the figure below. DE = x, DB = 20, GF = x −6, FC = x −2. What is length of GF? Explain your reasoning.