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Arcs and Chords Geometry Worksheet

A Grade 12 geometry worksheet focusing on the properties of arcs and chords in circles, including theorems and problem-solving.

Grade 12 Math GeometryArcs and Chords
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseLong Answer

Standards

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

Topics

geometryarcschordscirclesgrade 12
8 sections · Free to use · Printable
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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 a diameter is perpendicular to a chord, then it bisects the chord and its arc. Which theorem does this describe?

a

Congruent Chords Theorem

b

Perpendicular Chord Bisector Theorem

c

Equidistant Chords Theorem

d

Inscribed Angle Theorem

2. A segment whose endpoints are on a circle is called a  .

3. An arc with a measure greater than 180 degrees is called a   arc.

4. In a circle with center O, chord AB has a length of 16 cm. If the radius of the circle is 10 cm, what is the distance from the center O to the chord AB?

OAB10dM

5. Congruent chords in the same circle subtend congruent arcs.

T

True

F

False

6. A minor arc has a measure less than or equal to 180 degrees.

T

True

F

False

7. In a circle, two chords are equidistant from the center. If one chord has a length of 24 cm, what is the length of the other chord?

8. Explain the relationship between the measure of a central angle and the measure of its intercepted arc. Provide an example.