Intercepted Arcs Worksheet
A Grade 11 Math worksheet focusing on understanding and calculating intercepted arcs and their relationship with inscribed angles.
Includes
Standards
Topics
Intercepted Arcs: Inscribed Angles and Their Measures
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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. How does it relate to an inscribed angle?
2. If an inscribed angle measures 40 degrees, what is the measure of its intercepted arc?
20 degrees
40 degrees
80 degrees
160 degrees
3. An inscribed angle is an angle whose vertex is on a circle and whose sides contain of the circle.
4. The measure of an inscribed angle is the measure of its intercepted arc.
5. In the circle below, if the measure of arc AB is 110 degrees, what is the measure of inscribed angle ACB?
6. An angle inscribed in a semicircle is a right angle.
True
False
7. If two inscribed angles intercept the same arc, then the angles are congruent.
True
False
8. A quadrilateral ABCD is inscribed in a circle. If angle A measures 85 degrees, what is the measure of angle C?