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3 cards from this section. Quick, good the night before a test.
If chord AB = chord CD in a circle, what can you say about arcs AB and CD?
Think about the relationship between equal chords and their corresponding arcs.
What is the measure of an angle subtended by the chord at a point on the circle if it is 30 degrees at the center?
Remember that the angle at the center is double the angle at the circumference.
What is true about chords that subtend equal angles at the center of a circle?
Consider the relationship between the arc and chord lengths.
True or False: The angle at the center is always greater than the angle at any point on the circumference.
Reflect on the theorems we discussed related to arcs.
Two points A and B are on the circumference, and they subtend an angle of 100° at point C, which is on the circle. If point D is the center of the circle, what angle does ∠ ADB equal?
Use the relationship established by Theorem 9.7.
Prove that if two angles subtend equal arcs in the same circle, the segments formed by those arcs must also equal in size.
Think about inscribed and central angles together.
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