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2 cards from this section. Quick, good the night before a test.
If chord AB is equal to chord CD, what can you say about the angles at the center?
Think of the effects of equal chords.
What is a cyclic quadrilateral?
Recall how vertices relate to circles.
Do equal chords of a circle always subtend equal angles at the center?
Remember this is a foundational property of circles.
The sum of opposite angles in a cyclic quadrilateral is 180°. Is this true?
Think about the definition of cyclic quadrilaterals.
Given a cyclic quadrilateral ABCD where ∠A + ∠C = 180°, prove that the quadrilateral is cyclic.
Think about the definition of cyclicness.
Two chords in circles with different radii are equal. Analyze how the central angles compare.
Consider that angles are directly related to the chord lengths.
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