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The purpose of this activity is for students to explore the relationship between central and inscribed angles more generally.
Look for students who form inscribed angles that subtend the major arc to compare to those that subtend the minor arc during discussion. It is not necessary to use the words subtend, minor arc, or major arc with students, although you can if you nd it useful for communication.
Launch
Keep students arranged in groups of 2.
Student Task Statement
Here is a circle with central angle .
1. Use a protractor to approximate the degree measure of angle
2. Mark a point on the circle that is not the same as the point
Draw chords and . Use a protractor to approximate the degree measure of angle
.
your partner marks.
.
3. What is the relationship between the measures of angles and thinking with your partner. If you disagree, work to reach an agreement.
Student Response
1. or 2. or 3.
Activity Synthesis
There are two possibilities for angle .
? Discuss your
Unit 7 Lesson 6: The Angle Inscribed
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