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# Common Core Standard HSG-C.A.2 Questions

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

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What is the measure of an arc angle when the central angle is $45 deg$?
1. $22.5 deg$
2. $45 deg$
3. $90 deg$
4. $180 deg$
What is the measure of an inscribed angle when the arc angle is $60 deg$?
1. $90 deg$
2. $120 deg$
3. $60 deg$
4. $30 deg$
What is the measure of an arc angle when the inscribed angle is $45 deg$?
1. $22.5 deg$
2. $180 deg$
3. $90 deg$
4. $-90 deg$
What is the measure of an inscribed angle when the arc angle is $180 deg$?
1. $90 deg$
2. $80 deg$
3. $360 deg$
4. $60 deg$
1. $ang CAB$
2. $ang ADO$
3. $ang DAB$
4. $ang BOD$