Congruent Chords (I)

[color=#980000]Interact with the following applet below for a few minutes, then answer the questions that follow. [br][br][/color][color=#ff00ff][i]Be sure to change the locations of the BIG POINTS each time before re-sliding the slider! [/i][/color][br][br]
[color=#980000][b]Questions:[/b][/color][color=#000000][br][br][/color][color=#000000]1) Explain why the 2 circles shown are congruent. How do you know? [br][br]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: [br][br][/color][color=#0000ff][b]In the same circle or _________________________ circles, _________________ chords [br][br]determine ________________________ arcs. [br][/b][b][br][br][/b]3) Write a formal, 2-column proof of this statement. [br][/color]
Quick Demo: 0:58 sec to 1:28 sec (BGM: Andy Hunter)

Information: Congruent Chords (I)