Free Printable WorksheetMathGeometryMath CurriculumG-C.A.2

GEO.117 Chords, arcs, and distances from the center Worksheet

Download our free printable Geometry Math worksheet on GEO.117 Chords, arcs, and distances from the center. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.117 Chords, arcs, and distances from the center. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.117 Chords, arcs, and distances from the center - Primary standard selected for prompt fields in this prompt cell: CCSS G-C.A.2. Skill statement in this prompt cell: Select the correct comparison or conclusion about chords and arcs based on their measures or distances from the center. Associated standards listed with this skill in the curriculum source: CCSS G-C.A.2; FL MA.912.GR.6.2; MA G-C.A.2; NY GEO G.G-C.A.2; CCSS G-C.B.5; FL MA.912.GR.6.4; MA G-C.B.5; NY GEO G.G-C.B.5. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.117 Chords, arcs, and distances from the center skill assessments:

Problem 1Difficulty: Mastery
Which statement correctly summarizes the relationship among chord length, minor arc measure, and distance from the center in one circle?
AChord lengths and minor arc measures increase together, while distances from the center decrease
BChord lengths and distances from the center increase together, while minor arcs decrease
CAll chords are the same distance from the center
DA larger minor arc always means the chord is farther from the center
Solution & Explanation:In one circle, the longer chord intercepts the larger minor arc. At the same time, the longer chord is closer to the center, so the distance from the center is smaller.
Problem 2Difficulty: Mastery
In the same circle, chord AB is 20 units long. If chord CD is farther from the center than chord AB, then chord CD has a larger minor arc than chord AB.
ATrue
BFalse
Solution & Explanation:A chord farther from the center is shorter. A shorter chord has a smaller minor arc, so CD does not have a larger minor arc.
Problem 3Difficulty: Mastery
Two congruent circles have radius 15 units. Chord A is 18 units long in one circle, and chord B is 12 units from the center in the other circle. Which conclusion is correct?
AA and B are congruent chords
BA is longer than B
CB is longer than A
DA has a larger minor arc than B
Solution & Explanation:Chord A has half-length 9, so its distance from the center is sqrt(152 - 92) = 12. In congruent circles, equal distances from centers give congruent chords.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-C.A.2 (Primary standard selected for prompt fields in this prompt cell: CCSS G-C.A.2. Skill statement in this prompt cell: Select the correct comparison or conclusion about chords and arcs based on their measures or distances from the center. Associated standards listed with this skill in the curriculum source: CCSS G-C.A.2; FL MA.912.GR.6.2; MA G-C.A.2; NY GEO G.G-C.A.2; CCSS G-C.B.5; FL MA.912.GR.6.4; MA G-C.B.5; NY GEO G.G-C.B.5. Use this prompt-provided wording as the supporting standard description for this workflow.).

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