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?