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# Circles

# Chords Exercises

### 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?