Segments inside and outside a Circle
Drag point C to adjust the length of the segments formed. Observe the lengths of the segments.
1. What is line CA and line CB? How did you know?
2. What can you conclude about the length of the segments?
Drag either of the points D, C, or E to adjust the length of the lines formed. Observe the product of the outer segment and the line segment..
1. What is line DE and line EC? How did you know?
2. What is the product of AE and DE?
3. What is the product of EB and EC?
4. What can you conclude about the product of AE and DE and the product of EB and EC?
Drag either point A or point C to adjust the length of the segments. Find the product of the outer segment and the whole secant line segment. Compare the product to the square of the tangent line segment.
1. What is line AT and line CT?
2. What is the product of AT and BT?
3. What is the square of CT?
4. What can you conclude about the product of AT and BT and the square of CT?