Congruent Chords and Arcs Worksheet
This worksheet focuses on properties of congruent chords and arcs in circles, including theorems and problem-solving.
Includes
Standards
Topics
Congruent Chords and Arcs
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. If two chords in a circle are congruent, then their corresponding arcs are:
congruent
complementary
supplementary
perpendicular
2. In a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc. This statement is:
Always true
Sometimes true
Never true
Only true for semicircles
3. In the same circle or in congruent circles, two minor arcs are congruent if and only if their corresponding are congruent.
4. The perpendicular bisector of a chord is a of the circle.
5. In circle O, chord AB is congruent to chord CD. If the measure of arc AB is 70 degrees, what is the measure of arc CD?
6. A chord of a circle is 16 cm long and is 6 cm from the center of the circle. Find the radius of the circle.
7. If two chords are equidistant from the center of a circle, then they are congruent.
True
False
8. A chord that passes through the center of a circle is called a tangent.
True
False
9. In circle P, chord XY and chord WZ are congruent. If XY = 3x + 10 and WZ = 5x - 4, find the length of XY.
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