Free Printable WorksheetMathGeometryMath CurriculumG-CO.A.5

GEO.54 Transformations that map a figure onto itself Worksheet

Download our free printable Geometry Math worksheet on GEO.54 Transformations that map a figure onto itself. 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 Geometry Math worksheet provides structured practice on GEO.54 Transformations that map a figure onto itself. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.54 Transformations that map a figure onto itself - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.5. Skill statement in this prompt cell: Select the line of symmetry or angle of rotational symmetry that correctly maps a figure onto itself. Associated standards listed with this skill in the curriculum source: CCSS G-CO.A.5; NY GEO G.G-CO.A.5; FL MA.912.GR.2.3, 2.5. 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.54 Transformations that map a figure onto itself skill assessments:

Problem 1Difficulty: Mastery
A design has rotational symmetry for both 72 degrees and 90 degrees about the same center. What is the smallest positive rotation angle guaranteed by these two symmetries?
A18 degrees
B36 degrees
C45 degrees
D162 degrees
Solution & Explanation:Rotations that both map the same figure onto itself combine and undo each other. Since 90 - 72 = 18, an 18-degree rotation is also forced; 18 is the greatest common divisor of 72 and 90.
Problem 2Difficulty: Mastery
A regular 32-gon is rotated about its center. Which angle maps the figure onto itself?
A260 degrees
B270 degrees
C275 degrees
D280 degrees
Solution & Explanation:The smallest rotation angle is 360 / 32 = 11.25 degrees. Since 270 = 24 x 11.25, a 270-degree rotation maps the 32-gon onto itself.
Problem 3Difficulty: Mastery
A regular polygon has an exterior angle of 15 degrees. What is the smallest positive rotation angle that maps the polygon onto itself?
A12 degrees
B15 degrees
C20 degrees
D24 degrees
Solution & Explanation:For a regular polygon, the exterior angle equals the central angle between adjacent vertices. That central angle is the smallest rotational symmetry angle, so it is 15 degrees.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this GEO.54 Transformations that map a figure onto itself worksheet free for teachers and homeschoolers?

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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.5 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.5. Skill statement in this prompt cell: Select the line of symmetry or angle of rotational symmetry that correctly maps a figure onto itself. Associated standards listed with this skill in the curriculum source: CCSS G-CO.A.5; NY GEO G.G-CO.A.5; FL MA.912.GR.2.3, 2.5. Use this prompt-provided wording as the supporting standard description for this workflow.).

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