Congruent Chords and Arcs Worksheet
Explore the relationships between congruent chords, arcs, and central angles in circles with this Grade 12 geometry worksheet.
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Congruent Chords and Arcs
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. In a circle, if two chords are congruent, what can be said about their corresponding arcs?
2. If two arcs in the same circle are congruent, then their corresponding chords are .
3. The perpendicular bisector of a chord is also a of the circle.
4. In circle P, if chord AB is congruent to chord CD, which of the following statements must be true?
Arc AB is longer than Arc CD.
Arc AB is congruent to Arc CD.
Chord AB is parallel to Chord CD.
The distance from P to AB is greater than the distance from P to CD.
5. In a circle with center O, if chord XY has a length of 10 cm and chord ZW has a length of 10 cm, what can you conclude about the arcs XY and ZW?
6. True or False: If two chords are equidistant from the center of a circle, then they are congruent.
True
False
7. Consider a circle with radius 8 cm. If a chord in this circle has a length of 12 cm, and another chord is congruent to it, what is the length of the second chord?
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