Arcs and Chords Geometry Worksheet
This worksheet focuses on understanding and applying theorems related to arcs and chords in circles, suitable for Grade 11 Geometry students.
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Arcs and Chords Geometry Worksheet
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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
Supplementary
Complementary
Proportional
2. A diameter of a circle is perpendicular to a chord. What does this imply about the chord and its arc?
It bisects the chord but not the arc.
It bisects the arc but not the chord.
It bisects both the chord and its arc.
It has no relation to bisecting either.
3. In a circle, if two chords are equidistant from the center, then the chords are .
4. The measure of a central angle is to the measure of its intercepted arc.
5. Consider a circle with center O and a chord AB. If the radius of the circle is 10 cm and the length of the chord AB is 16 cm, find the distance from the center O to the chord AB. Show your work.
6. In a circle, a chord is 24 units long and is 5 units from the center. Find the length of the radius of the circle.
7. If two arcs of a circle are congruent, then their corresponding chords are congruent.
True
False
8. A radius that bisects a chord is perpendicular to the chord.
True
False
9. In the circle below, chord CD is parallel to chord EF. If the measure of arc CD is 80 degrees and the measure of arc EF is 120 degrees, find the measure of arc CE.