Free Printable WorksheetMathGeometryMath CurriculumG-CO.A.5

GEO.76 Identify the sequence of transformations from preimage to image Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.76 Identify the sequence of transformations from preimage to image. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.76 Identify the sequence of transformations from preimage to image - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.5. Skill statement in this prompt cell: Select the sequence of transformations that correctly maps a preimage to a given image. 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.76 Identify the sequence of transformations from preimage to image skill assessments:

Problem 1Difficulty: Mastery

A student is choosing the correct transformation sequence for quadrilateral EFGH. The vertex correspondence is E(-1, -4) -> E'(12, 3); F(2, -2) -> F'(10, 6); G(3, 1) -> G'(7, 7); H(0, 0) -> H'(8, 4). Which sequence should the student select? All rotations are about the origin unless another center is stated.

ATranslate 4 units right and 4 units down, then reflect across the line y = x, then reflect across the line x = 2

BTranslate 4 units right and 4 units down, then reflect across the line y = x, then reflect across the line y = 2

CTranslate 4 units right and 4 units up, then reflect across the line y = x, then reflect across the line x = 2

DTranslate 4 units right and 4 units down, then reflect across the x-axis, then reflect across the line x = 2

Solution & Explanation:Apply the transformations in the listed order: Translate 4 units right and 4 units down, then reflect across the line y = x, then reflect across the line x = 2. Then E(-1, -4) becomes E'(12, 3) and F(2, -2) becomes F'(10, 6), matching the given image coordinates; the other choices change a sign, line of reflection, direction, or order.

Problem 2Difficulty: Mastery

A coordinate table from a blueprint detail lists these corresponding vertices: P(-2, -2) -> P'(1, -9); Q(1, 0) -> Q'(-1, -12); R(-1, 3) -> R'(-4, -10). Which ordered sequence of transformations maps each preimage vertex to its image? All rotations are about the origin unless another center is stated.

ARotate 90 degrees counterclockwise about the origin, then translate 1 unit left and 5 units up, then reflect across the line y = -2

BRotate 90 degrees counterclockwise about the origin, then translate 1 unit left and 5 units down, then reflect across the line y = -3

CRotate 90 degrees counterclockwise about the origin, then translate 1 unit left and 5 units up, then reflect across the line y = -3

DReflect across the y-axis, then translate 1 unit left and 5 units up, then reflect across the line y = -3

Solution & Explanation:Apply the transformations in the listed order: Rotate 90 degrees counterclockwise about the origin, then translate 1 unit left and 5 units up, then reflect across the line y = -3. Then P(-2, -2) becomes P'(1, -9) and Q(1, 0) becomes Q'(-1, -12), matching the given image coordinates; the other choices change a sign, line of reflection, direction, or order.

Problem 3Difficulty: Mastery

On a coordinate graph for a geometry notebook, quadrilateral JKLM has vertices J(-3, 2), K(0, 4), L(3, 3), M(2, 0). Its image J'K'L'M' has vertices J'(16, 4), K'(13, 6), L'(10, 5), M'(11, 2). Which ordered transformation sequence maps the preimage to the image? All rotations are about the origin unless another center is stated.

ATranslate 5 units left and 4 units up, then reflect across the line x = 3, then translate 2 units right and 2 units down

BTranslate 5 units left and 4 units up, then reflect across the line y = 3, then translate 2 units right and 2 units down

CTranslate 5 units left and 4 units up, then reflect across the line x = 3, then translate 2 units left and 2 units up

DTranslate 5 units right and 4 units down, then reflect across the line x = 3, then translate 2 units right and 2 units down

Solution & Explanation:Apply the transformations in the listed order: Translate 5 units left and 4 units up, then reflect across the line x = 3, then translate 2 units right and 2 units down. Then J(-3, 2) becomes J'(16, 4) and K(0, 4) becomes K'(13, 6), matching the given image coordinates; the other choices change a sign, line of reflection, direction, or order.

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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 sequence of transformations that correctly maps a preimage to a given image. 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.).