# Congruent Chords (I)

- Author:
- Tim Brzezinski

Interact with the following applet below for a few minutes, then answer the questions that follow.

*Be sure to change the locations of the BIG POINTS each time before re-sliding the slider!***Questions:**1) Explain why the 2 circles shown are congruent. How do you know? 2) Notice how there are 3 congruent chords displayed. The red arc is said to be the arc "determined" (or "made") by these chords. Complete the following statement by filling in the blanks to make a true statement:

**In the same circle or _________________________ circles, _________________ chords determine ________________________ arcs.**

**3) Write a formal, 2-column proof of this statement.**