Free Printable WorksheetMathGeometryMath CurriculumVA 2023 G.RLT.1

GEO.29 Form converses, inverses, and contrapositives Worksheet

Download our free printable Geometry Math worksheet on GEO.29 Form converses, inverses, and contrapositives. 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

Download PDF Download DOCX

Prefer interactive practice with instant grading and explanations?Practice Form converses, inverses, and contrapositives Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.29 Form converses, inverses, and contrapositives. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.29 Form converses, inverses, and contrapositives - 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 the correct converse, inverse, or contrapositive of a statement and identify which is logically equivalent to the original. 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.*. 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.29 Form converses, inverses, and contrapositives skill assessments:

Problem 1Difficulty: Mastery

A proof begins with this equivalent statement: If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. Which original theorem is being proved by contrapositive?

AIf a quadrilateral is a parallelogram, then its diagonals bisect each other.

BIf the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

CIf a quadrilateral is not a parallelogram, then its diagonals do not bisect each other.

DIf the diagonals of a quadrilateral do not bisect each other, then it is a parallelogram.

Solution & Explanation:The given proof statement has the form if not q, then not p. The equivalent original is if p, then q: parallelogram implies diagonals bisect each other.

Problem 2Difficulty: Mastery

Original statement: If a polygon has no diagonals, then the polygon is a triangle. Which statement is the contrapositive?

AIf a polygon is a triangle, then it has no diagonals.

BIf a polygon has at least one diagonal, then it is not a triangle.

CIf a polygon is not a triangle, then it has at least one diagonal.

DIf a polygon has no diagonals, then it is not a triangle.

Solution & Explanation:The contrapositive is if not q, then not p. Not being a triangle is the negation of q, and having at least one diagonal is the negation of 'has no diagonals.'

Problem 3Difficulty: Mastery

Original statement: If two figures are congruent, then the figures are similar. Which statement is NOT the inverse?

AIf two figures are not congruent, then the figures are not similar.

BIf two figures are similar, then the figures are congruent.

CIf it is not true that two figures are congruent, then it is not true that the figures are similar.

DIf two figures fail to be congruent, then they fail to be similar.

Solution & Explanation:The inverse keeps the same order and negates both parts. Choice B switches the parts without negating them, so it is the converse, not the inverse.

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.29 Form converses, inverses, and contrapositives 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.29 Form converses, inverses, and contrapositives 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.29 Form converses, inverses, and contrapositives online with instant feedback?

Yes! In addition to this printable worksheet, students can practice GEO.29 Form converses, inverses, and contrapositives 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 the correct converse, inverse, or contrapositive of a statement and identify which is logically equivalent to the original. 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.*. Use this prompt-provided wording as the supporting standard description for this workflow.).