Congruent Chords and Arcs Worksheet
Explore properties of congruent chords and arcs in circles with this geometry worksheet for 9th grade.
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Standards
Topics
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, then their corresponding minor arcs are:
Congruent
Proportional
Complementary
Supplementary
2. If two minor arcs in the same circle are congruent, then their corresponding chords are:
Parallel
Perpendicular
Congruent
Intersecting
3. In a circle, if a diameter is perpendicular to a chord, then it the chord and its arc.
4. Two circles are congruent if and only if they have congruent .
5. In circle O, chord AB is congruent to chord CD. If the measure of arc AB is 70°, what is the measure of arc CD? Explain your reasoning.
6. In the circle below, if chord PQ = 10 cm and chord RS = 10 cm, what can you conclude about arc PQ and arc RS? Draw the circle and label the chords and arcs.
7. A chord is a segment whose endpoints are on the circle.
True
False
8. The measure of a major arc is always less than 180 degrees.
True
False
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