Intercepted Arcs Worksheet
Grade 10 Geometry worksheet on intercepted arcs, central angles, and inscribed angles.
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Intercepted Arcs Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Define an intercepted arc in your own words.
2. How does the measure of a central angle relate to the measure of its intercepted arc?
3. In a circle, if a central angle measures 70 degrees, what is the measure of its intercepted arc?
35 degrees
70 degrees
140 degrees
210 degrees
4. An inscribed angle intercepts an arc of 120 degrees. What is the measure of the inscribed angle?
60 degrees
120 degrees
240 degrees
30 degrees
5. An angle whose vertex is on the circle and whose sides are chords of the circle is called an angle.
6. The measure of an inscribed angle is the measure of its intercepted arc.
7. If two inscribed angles intercept the same arc, then the angles are .
8. In the circle with center O, if the measure of arc BC is 80 degrees, what is the measure of angle BOC?
9. In the circle, if the measure of arc BC is 100 degrees, what is the measure of angle BAC?
10. An angle inscribed in a semicircle is a right angle.
True
False