Investigations with Circles

__Objective__: Have the students discover some properties of
circles using GSP.

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1) Have the students investigate the property that any line tangent to a circle is in fact perpendicular to the radius of the circle and any two tangent lines are equal in length. For the Activity click here. For the GSP sketch showing the first property click here. For a GSP sketch showing the second property click here.

2) Have the students discover the formula for the measure of an arc of a circle. For the Activity click here. For the GSP sketch showing this property click here.

3) Have the students investigate the property that the measure of the central angle is twice the measure of the inscribed angle with the same endpoints. For the Activity click here. For the GSP sketch showing this property click here.

__Conclusion__: Discuss the various properties of circles
with the students and what conclusions they came to from working
through their activities.

Next: Day 3

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Developed by Katherine
Huffman