SOLUTION: Prove that the arcs between any two parallel chords in a circle must be the same size.

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Question 1158189: Prove that the arcs between any two parallel chords in a circle must be the same size.
Answer by solver91311(24713) About Me  (Show Source):
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1. and are chords : Given

2. : Given

3. Construct

4. Angle is congruent to angle : Opposite Interior Angles

5. The measure of arc is equal to 2 times the measure of angle and the measure of arc is equal to 2 times the measure of angle : Properties of inscribed angles

6. Arc is congruent to : Multiplication Postulate

Q.E.D.


John

My calculator said it, I believe it, that settles it