Congruent Chords and Arcs Worksheet

This worksheet focuses on properties of congruent chords and arcs in circles, including theorems and problem-solving.

Grade 11 Math GeometryCongruent Chords and Arcs

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSG.C.A.2CCSS.MATH.CONTENT.HSG.C.A.3

Topics

geometrycircleschordsarcscongruencegrade 11

7 sections · Free to use · Printable

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.