Free Printable WorksheetMathGeometryMath CurriculumG-CO.A.4

GEO.75 Rotate figures and use rotation rules Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.75 Rotate figures and use rotation rules. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.75 Rotate figures and use rotation rules - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.4. Skill statement in this prompt cell: Select the image coordinates or the description (center, direction, and angle) that matches a rotation. 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.75 Rotate figures and use rotation rules skill assessments:

Problem 1Difficulty: Mastery
Point P(-2, 7) maps to P'(8, -1) under a 180 degree rotation. Which center and description match the rotation?
A90 degrees clockwise about (3, 3)
B180 degrees about (3, 3)
C180 degrees about the origin
D90 degrees counterclockwise about (-2, 7)
Solution & Explanation:For a 180 degree rotation, the center is the midpoint of P and P'. The midpoint is ((-2 + 8)/2, (7 + -1)/2) = (3, 3), so the rotation is 180 degrees about (3, 3).
Problem 2Difficulty: Mastery
A rotation has coordinate rule (x, y) -> (y + 2, -x + 4). Which description matches the rule?
A90 degrees counterclockwise about (3, 1)
B180 degrees about (1, 2)
C90 degrees clockwise about the origin
D90 degrees clockwise about (3, 1)
Solution & Explanation:A 90 degree clockwise rotation about (h, k) has rule (y + h - k, -x + h + k). Matching y + 2 and -x + 4 gives h - k = 2 and h + k = 4, so h = 3 and k = 1.
Problem 3Difficulty: Mastery
Triangle ABC has vertices A(5, -2), B(5, 1), C(2, 1). The triangle is rotated 90 degrees counterclockwise about K(2, -2). Which image coordinates are correct?
AA'(2, 1), B'(-1, 1), C'(-1, -2)
BA'(2, -5), B'(5, -5), C'(5, -2)
CA'(-1, -2), B'(-1, -5), C'(2, -5)
DA'(2, 5), B'(-1, 5), C'(-1, 2)
Solution & Explanation:Using K as the center, A has vector (3, 0), which becomes (0, 3), so A'(2, 1). B has vector (3, 3), which becomes (-3, 3), so B'(-1, 1). C has vector (0, 3), which becomes (-3, 0), so C'(-1, -2).

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this GEO.75 Rotate figures and use rotation rules worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice GEO.75 Rotate figures and use rotation rules 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 image coordinates or the description (center, direction, and angle) that matches a rotation. 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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