Free Printable WorksheetMathGeometryMath CurriculumG-CO.A.4

GEO.51 Translations, reflections, and rotations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.51 Translations, reflections, and rotations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.51 Translations, reflections, and rotations - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.4. Skill statement in this prompt cell: Select the correct transformation (translation, reflection, or rotation) shown by a diagram or coordinate rule and identify the image of a point or figure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.A.4; MA G-CO.A.4; NY GEO G.G-CO.A; FL MA.912.GR.2.*. 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.51 Translations, reflections, and rotations skill assessments:

Problem 1Difficulty: Mastery
A coordinate-plane diagram shows a rectangle with vertices (1, -2), (4, -2), (4, -5), and (1, -5). Its image has vertices (-2, -1), (-2, -4), (-5, -4), and (-5, -1). Which transformation maps the rectangle to its image?
Arotation 90 degrees clockwise about the origin
Brotation 90 degrees counterclockwise about the origin
Creflection over y = x
Dtranslation 3 units left and 1 unit up
Solution & Explanation:A 90-degree clockwise rotation uses (x, y) -> (y, -x). Applying it to each original vertex gives the listed image vertices, such as (1, -2) -> (-2, -1).
Problem 2Difficulty: Mastery
A coordinate-plane diagram shows triangle ABC with A(-3, 1), B(-1, 5), C(2, 4). Its image has A'(3, -1), B'(1, -5), C'(-2, -4). Which transformation is shown?
Arotation 180 degrees about the origin
Breflection over y = x
Creflection over the x-axis
Dtranslation 6 units right and 2 units down
Solution & Explanation:Every image point has both coordinates changed to their opposites. That is the rule for a 180-degree rotation about the origin.
Problem 3Difficulty: Mastery
A 90-degree counterclockwise rotation about the origin maps P(-7, -4) to P'(4, -7). Which rule and image of Q(2, -9) are correct?
A(x, y) -> (-y, x); Q'(9, 2)
B(x, y) -> (y, -x); Q'(-9, -2)
C(x, y) -> (-x, -y); Q'(-2, 9)
D(x, y) -> (y, x); Q'(-9, 2)
Solution & Explanation:The rule for 90 degrees counterclockwise is (x, y) -> (-y, x). Applying it to Q(2, -9) gives Q'(9, 2).

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.51 Translations, reflections, and rotations worksheet?

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QIs this GEO.51 Translations, reflections, and rotations worksheet free for teachers and homeschoolers?

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QCan students practice GEO.51 Translations, reflections, and rotations online with instant feedback?

Yes! In addition to this printable worksheet, students can practice GEO.51 Translations, reflections, and rotations 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-CO.A.4 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.4. Skill statement in this prompt cell: Select the correct transformation (translation, reflection, or rotation) shown by a diagram or coordinate rule and identify the image of a point or figure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.A.4; MA G-CO.A.4; NY GEO G.G-CO.A; FL MA.912.GR.2.*. Use this prompt-provided wording as the supporting standard description for this workflow.).

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