Free Printable WorksheetMathGrade 4Math Curriculum4.165

4.165 Rotational Symmetry Worksheet

Download our free printable Grade 4 Math worksheet on 4.165 Rotational Symmetry. 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 Grade 4 Math worksheet provides structured practice on 4.165 Rotational Symmetry. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given a figure, select whether it has rotational symmetry and/or select a turn that maps it onto itself.

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

Grade 4

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 4.165 Rotational Symmetry skill assessments:

Problem 1Difficulty: Mastery

The figure shows a 4 by 4 grid with shaded cells at row 1 column 2, row 2 column 4, row 4 column 3, and row 3 column 1. Rows are counted from top to bottom and columns from left to right. Which turns less than a full turn map the pattern onto itself?

A90 degrees, 180 degrees, and 270 degrees work for the four-by-four cycle grid

B180 degrees only works for the four-by-four cycle grid

C90 degrees only works for the four-by-four cycle grid

DNo turns less than a full turn work for the four-by-four cycle grid

Solution & Explanation:Those four cells form one complete quarter-turn cycle around the center. A 90 degrees turn moves each shaded cell to another shaded cell, so 180 and 270 degrees also work.

Problem 2Difficulty: Mastery

The figure shows a 3 by 3 grid with shaded cells at upper-left, top-middle, center, bottom-middle, and lower-right. Which turn maps the pattern onto itself?

AA half-turn (180 degrees) works for the offset grid pattern

BA quarter-turn (90 degrees) works for the offset grid pattern

CA one-third turn works for the offset grid pattern

DNo turn less than a full turn works for the offset grid pattern

Solution & Explanation:A half-turn swaps upper-left with lower-right and top-middle with bottom-middle, while the center stays in place.

Problem 3Difficulty: Mastery

The figure shows a 3 by 3 grid with the center square and the four side-middle squares shaded. After a quarter-turn clockwise, what happens to the shaded pattern?

AIt maps onto itself because each arm moves to another shaded arm

BIt stops matching because the top arm has no match

CIt maps only after a one-third turn

DIt becomes the diagonal pattern

Solution & Explanation:The shaded cells form a plus pattern. A quarter-turn moves the top arm to the right arm, the right arm to the bottom arm, and so on, so it matches.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 4.165 Rotational Symmetry 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 4.165 Rotational Symmetry 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 4.165 Rotational Symmetry online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 4.165 Rotational Symmetry 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 Grade 4 Math students. It aligns with educational standard 4.165 (No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: Given a figure, select whether it has rotational symmetry and/or select a turn that maps it onto itself. No attached standards were listed with this skill in the prompt cell. Use this curriculum wording and the source skill identifier 4.165 as the best available supporting standard description for this prompt-prep workflow.).