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Question
question 7 of 10 assume that two chords in a given circle are congruent. which of the following must also be true? a. they must be perpendicular. b. they must form an angle. c. they must be equidistant from the center of the circle. d. they must be diameters of the circle.
Step1: Recall circle - chord property
In a circle, congruent chords are equidistant from the center of the circle.
Step2: Analyze each option
- Option A: Congruent chords are not necessarily perpendicular.
- Option B: They don't have to form an angle. They could be parallel.
- Option C: This is correct by the property of congruent chords in a circle.
- Option D: Just because chords are congruent doesn't mean they are diameters.
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C. They must be equidistant from the center of the circle.