Free Printable WorksheetMathGeometryMath CurriculumVA 2023 G.RLT.1

GEO.33 Distinguish examples, nonexamples, and counterexamples Worksheet

Download our free printable Geometry Math worksheet on GEO.33 Distinguish examples, nonexamples, and counterexamples. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Distinguish examples, nonexamples, and counterexamples Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.33 Distinguish examples, nonexamples, and counterexamples. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.33 Distinguish examples, nonexamples, and counterexamples - Primary standard selected for prompt fields in this prompt cell: Not listed in source (VA 2023 G.RLT.1). Skill statement in this prompt cell: Select which option is a counterexample (or an example) for a given geometric claim. Associated standards listed with this skill in the curriculum source: VA 2023 G.RLT.1; CCSS SMP.3; TEKS §111.41(b)(2); FL MA.912.GR.1.*; G-CO.C; TEKS Process; VA G.RLT.1; FL MA.912.GR.1. 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.33 Distinguish examples, nonexamples, and counterexamples skill assessments:

Problem 1Difficulty: Mastery
Claim: All polygons with congruent diagonals are rectangles. The accompanying diagram shows a regular pentagon with all diagonals drawn. Which option is a counterexample to the claim?
AA regular pentagon with its five diagonals congruent
BA rectangle with congruent diagonals
CA square with congruent diagonals
DA rhombus with unequal diagonals
Solution & Explanation:In a regular pentagon, all five diagonals are congruent, but the figure is not a rectangle because it has five sides instead of four.
Problem 2Difficulty: Mastery
Claim: If a quadrilateral has at least one pair of parallel sides, then it has exactly one pair of parallel sides. Which option is a counterexample to the claim?
AA parallelogram
BA trapezoid with exactly one pair of parallel sides
CA kite with no parallel sides
DAn irregular pentagon
Solution & Explanation:A parallelogram has at least one pair of parallel sides, but it actually has two pairs. That makes the conclusion exactly one pair false.
Problem 3Difficulty: Mastery
Claim: A tangent line to a circle intersects the circle in exactly two points. The accompanying diagram shows a circle and a tangent line. Which option is a counterexample to the claim?
AA tangent line touching the circle at exactly one point
BA secant line crossing the circle at two points
CA chord with both endpoints on the circle
DA diameter through the center
Solution & Explanation:A tangent line intersects a circle at exactly one point. That satisfies the tangent part of the claim but makes the two-point conclusion false.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.33 Distinguish examples, nonexamples, and counterexamples worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this GEO.33 Distinguish examples, nonexamples, and counterexamples worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice GEO.33 Distinguish examples, nonexamples, and counterexamples online with instant feedback?

Yes! In addition to this printable worksheet, students can practice GEO.33 Distinguish examples, nonexamples, and counterexamples 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 VA 2023 G.RLT.1 (Primary standard selected for prompt fields in this prompt cell: Not listed in source (VA 2023 G.RLT.1). Skill statement in this prompt cell: Select which option is a counterexample (or an example) for a given geometric claim. Associated standards listed with this skill in the curriculum source: VA 2023 G.RLT.1; CCSS SMP.3; TEKS §111.41(b)(2); FL MA.912.GR.1.*; G-CO.C; TEKS Process; VA G.RLT.1; FL MA.912.GR.1. Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Geometry Math Resources

Continue learning with complementary skill worksheets and online practice