Free Printable WorksheetMathGrade 4Math Curriculum4.164

4.164 Reflections, Rotations, and Translations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 4 Math worksheet provides structured practice on 4.164 Reflections, Rotations, and Translations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given a figure and a described transformation, select the image of the figure after the transformation.

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 4.164 Reflections, Rotations, and Translations skill assessments:

Problem 1Difficulty: Mastery

On a coordinate grid, pentagon ABCDE has vertices A(1,3), B(3,3), C(4,5), D(2,7), and E(0,5). First translate 5 units right; then rotate 90 degrees counterclockwise about point O(6,5); then reflect across the horizontal line y = 6. Which choice shows the final image of pentagon ABCDE?

AA'(8,5), B'(8,7), C'(6,8), D'(4,6), and E'(6,4)

BA'(4,5), B'(4,7), C'(6,8), D'(8,6), and E'(6,4)

CA'(8,7), B'(8,5), C'(6,4), D'(4,6), and E'(6,8)

DA'(9,7), B'(9,5), C'(7,4), D'(5,6), and E'(7,8)

Solution & Explanation:Follow the steps in order: translate 5 units right, then rotate 90 degrees counterclockwise about point O(6,5), then reflect across the horizontal line y = 6. Tracking the vertices through each move gives the final image A'(8,7), B'(8,5), C'(6,4), D'(4,6), and E'(6,8).

Problem 2Difficulty: Mastery

On a coordinate grid, rectangle ABCD has vertices A(4,4), B(7,4), C(7,6), and D(4,6). First rotate 90 degrees clockwise about point O(4,4); then reflect across the vertical line x = 5; then translate 2 units right and 3 units up. Which choice shows the final image of rectangle ABCD?

AA'(8,7), B'(8,4), C'(6,4), and D'(6,7)

BA'(6,4), B'(6,1), C'(4,1), and D'(4,4)

CA'(8,7), B'(5,7), C'(5,9), and D'(8,9)

DA'(7,4), B'(7,7), C'(9,7), and D'(9,4)

Solution & Explanation:Follow the steps in order: rotate 90 degrees clockwise about point O(4,4), then reflect across the vertical line x = 5, then translate 2 units right and 3 units up. Tracking the vertices through each move gives the final image A'(8,7), B'(8,4), C'(6,4), and D'(6,7).

Problem 3Difficulty: Mastery

On a coordinate grid, quadrilateral PQRS has vertices P(2,2), Q(5,3), R(4,6), and S(1,5). First translate 4 units right; then reflect across the horizontal line y = 5; then rotate 90 degrees counterclockwise about point O(6,5). Which choice shows the final image of quadrilateral PQRS?

AP'(6,8), Q'(9,7), R'(8,4), and S'(5,5)

BP'(3,1), Q'(4,4), R'(7,3), and S'(6,0)

CP'(3,5), Q'(4,8), R'(7,7), and S'(6,4)

DP'(9,5), Q'(8,2), R'(5,3), and S'(6,6)

Solution & Explanation:Follow the steps in order: translate 4 units right, then reflect across the horizontal line y = 5, then rotate 90 degrees counterclockwise about point O(6,5). Tracking the vertices through each move gives the final image P'(3,5), Q'(4,8), R'(7,7), and S'(6,4).

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 4.164 Reflections, Rotations, and Translations 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 4.164 Reflections, Rotations, and Translations worksheet free for teachers and homeschoolers?

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QCan students practice 4.164 Reflections, Rotations, and Translations online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 4.164 Reflections, Rotations, and Translations 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 4.164 (No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: Given a figure and a described transformation, select the image of the figure after the transformation. No attached standards were listed with this skill in the prompt cell. Use this curriculum wording and the source skill identifier 4.164 as the best available supporting standard description for this prompt-prep workflow.).