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Example 1

Refer to the figure below. Given that AC and BD are diameters of ⊙O, prove that AB is congruent to CD.

Example 2

Suppose AB is a chord of ⊙O and CD is a chord of ⊙P. Is it true that if AB = CD, then ⊙O is congruent to ⊙P?

Example 3

Given a circle with radius r, what is the maximum length of a chord of that circle?

Example 4

All chords are diameters, but not all diameters are chords. True or false?

Example 5

If two chords in the same circle are not congruent, then their associated arcs are also not congruent. True or false?

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