Free Printable WorksheetMathGeometryMath CurriculumG-CO.A.5

GEO.53 Sequences and compositions of transformations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.53 Sequences and compositions of transformations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.53 Sequences and compositions of transformations - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.5. Skill statement in this prompt cell: Select the correct sequence of transformations that maps a preimage to an image and identify the resulting transformation from a composition. 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.53 Sequences and compositions of transformations skill assessments:

Problem 1Difficulty: Mastery
A figure is reflected over the y-axis, translated 10 units right, and then reflected over the y-axis again. What single transformation has the same effect?
ATranslate 10 units right
BTranslate 10 units left
CReflect over x=5
DThe identity transformation
Solution & Explanation:Starting with (x,y), reflect to (-x,y), translate to (10-x,y), and reflect again to (x-10,y). The net effect is translation 10 units left.
Problem 2Difficulty: Mastery
Which ordered sequence maps every point (x, y) to (-y+1, -x-2)?
AReflect over the line y=-x, then translate 1 unit right and 2 units down
BReflect over the line y=x, then translate 1 unit right and 2 units down
CRotate 90 degrees clockwise, then translate 1 unit right and 2 units down
DTranslate 1 unit right and 2 units down, then reflect over the y-axis
Solution & Explanation:Reflection over y=-x sends (x,y) to (-y,-x). Translating 1 right and 2 down gives (-y+1,-x-2).
Problem 3Difficulty: Mastery
Point P(-2, 5) maps to P'(8, 1), and point Q(-2, 1) maps to Q'(4, 1). Which sequence maps P and Q to their images?
ARotate 90 degrees counterclockwise about the origin, then translate 3 units right and 1 unit down
BReflect over the x-axis, then translate 6 units right
CTranslate 3 units right and 1 unit down, then rotate 90 degrees clockwise
DRotate 90 degrees clockwise about the origin, then translate 3 units right and 1 unit down
Solution & Explanation:A 90-degree clockwise rotation sends P(-2,5) to (5,2) and Q(-2,1) to (1,2). Translating 3 right and 1 down gives P'(8,1) and Q'(4,1).

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Frequently Asked Questions

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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 correct sequence of transformations that maps a preimage to an image and identify the resulting transformation from a composition. 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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