Arcs and Chords Geometry Worksheet
Explore the properties of arcs and chords in circles with this geometry worksheet for Grade 9 students.
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Arcs and Chords Geometry
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Read each question carefully and answer to the best of your ability. Show all work where applicable.
1. What is the relationship between congruent chords and their corresponding arcs in the same circle?
Congruent chords have shorter arcs.
Congruent chords have congruent arcs.
Congruent chords have longer arcs.
There is no relationship.
2. A segment whose endpoints are on a circle is called a .
3. An arc that measures exactly 180 degrees is called a arc.
4. In a circle with center O, chord AB is perpendicular to radius OC. If the length of AB is 10 cm, what is the length of the segment from O to AB?
5. A diameter is the longest chord in a circle.
True
False
6. In circle P, if arc XY measures 70 degrees and chord XY has a length of 8 cm, what would be the measure of arc AB if chord AB also has a length of 8 cm?