Thread: Chords and Minor Arcs

If two chords of a circle have the same length, then their minor arcs have the same length too. True or false? Explain. What about the converse statement? Is it true? Why?

I am able to prove the first part of this problem, but I am having trouble with the converse. How would I go about proving the converse?

Originally Posted by thamathkid1729

If two chords of a circle have the same length, then their minor arcs have the same length too. True or false? Explain. What about the converse statement? Is it true? Why? How would I go about proving the converse?

Without knowing the theorems you have proven, this is just a guess.
The two minor arcs have the same length.
Join each endpoint to the center. Why are those two central angles congruent? Can you use SAS?
That should do it.