Drag different parts of your figure to confirm that the chords you constructed stay congruent. [br]1. Measure central angles CAB and DAE. Fill in the blank for question #A[br]2. Measure the ARC intercepted by the each chord. What can you conclude about congruent CHORDS in a[br]circle and the arcs they intercept? Fill in the blank for question #B.
[b]Chord Central Angles Conjecture:[/b] If two chords in a circle are congruent, then their central angles are ___________.
[b]Chord Arcs Conjecture[/b]: If two chords in a circle are congruent, then their _________________ are congruent.
Prove the statement "If arc ED is congruent to arc CB, then segment ED is congruent to segment CB"[br]Hint: Use the fact that if arcs are congruent, their central angles are congruent. Also, remember, that all radii of a circle are congruent.
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