Free Printable WorksheetMathGeometryMath CurriculumG-C.B.5

GEO.122 Segments formed by chords, secants, and tangents Worksheet

Download our free printable Geometry Math worksheet on GEO.122 Segments formed by chords, secants, and tangents. 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.122 Segments formed by chords, secants, and tangents. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.122 Segments formed by chords, secants, and tangents - Primary standard selected for prompt fields in this prompt cell: CCSS G-C.B.5. Skill statement in this prompt cell: Select the correct segment relationship and compute the unknown length for chords, secants, or tangents. Associated standards listed with this skill in the curriculum source: CCSS G-C.B.5; FL MA.912.GR.6.4; MA G-C.B.5; NY GEO G.G-C.B.5; CCSS SMP.2; NY HS MP; MA SMP; TEKS Process. 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.122 Segments formed by chords, secants, and tangents skill assessments:

Problem 1Difficulty: Mastery
A tangent from point P is 6 units longer than the external segment of a secant from P. The secant's internal segment is 16 units. What is the tangent length?
A9 units
B16 units
C21 units
D15 units
Solution & Explanation:Let the external secant segment be x, so the tangent is x + 6 and the whole secant is x + 16. Use (x + 6)2 = x(x + 16). This gives x = 9, so the tangent length is 15.
Problem 2Difficulty: Mastery
Two secants are drawn from point P. The first has external length 6 and whole length x. The second has external length x - 14 and whole length 27. What is x?
A16 units
B20 units
C18 units
D24 units
Solution & Explanation:Use 6x = (x - 14)*27. Then 6x = 27x - 378, so 21x = 378 and x = 18.
Problem 3Difficulty: Mastery
In an intersecting-chords diagram, one chord is divided into segments 7 and 24. The other chord is divided into segments x and x + 2. What is the shorter segment on the second chord?
A10 units
B12 units
C14 units
D17 units
Solution & Explanation:The known product is 7*24 = 168. Set x(x + 2) = 168. The positive solution is x = 12, so the shorter segment is 12.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.122 Segments formed by chords, secants, and tangents worksheet?

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QIs this GEO.122 Segments formed by chords, secants, and tangents worksheet free for teachers and homeschoolers?

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QCan students practice GEO.122 Segments formed by chords, secants, and tangents online with instant feedback?

Yes! In addition to this printable worksheet, students can practice GEO.122 Segments formed by chords, secants, and tangents interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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.B.5 (Primary standard selected for prompt fields in this prompt cell: CCSS G-C.B.5. Skill statement in this prompt cell: Select the correct segment relationship and compute the unknown length for chords, secants, or tangents. Associated standards listed with this skill in the curriculum source: CCSS G-C.B.5; FL MA.912.GR.6.4; MA G-C.B.5; NY GEO G.G-C.B.5; CCSS SMP.2; NY HS MP; MA SMP; TEKS Process. Use this prompt-provided wording as the supporting standard description for this workflow.).

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