Free Printable WorksheetMathGeometryMath CurriculumG-CO.A.2-3

GEO.49 Transformations as functions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.49 Transformations as functions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.49 Transformations as functions - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.2-3. Skill statement in this prompt cell: Identify the transformation represented by a rule or mapping and select whether it preserves distance and angle measure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.A.2-3; NY GEO G.G-CO.A; FL MA.912.GR.2.1-2.3, 2.5-2.6, 2.8; TEKS §111.41(c). 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.49 Transformations as functions skill assessments:

Problem 1Difficulty: Mastery

The diagram shows pentagon PQRST mapped to P'Q'R'S'T'. Which function and preservation statement match the mapping?

A(x, y) -> (-x + 2, y - 3); reflection over x = 1 followed by translation down 3, preserving distance and angle measure

B(x, y) -> (x + 2, y - 3); translation, preserving distance and angle measure

C(x, y) -> (2x, 2y - 3); dilation, preserving angle measure but not distance

D(x, y) -> (x + y, y - 3); shear, preserving neither distance nor angle measure in general

Solution & Explanation:The x-coordinate changes according to 2 - x, which reflects over x = 1, and the y-coordinate decreases by 3. A reflection followed by a translation is rigid, so distances and angle measures are preserved.

Problem 2Difficulty: Mastery

Which rule best models a congruence transformation of a coordinate design?

A(x, y) -> (-x + 10, -y + 6), a 180-degree rotation about (5, 3)

B(x, y) -> (2x + 10, 2y + 6), a dilation by scale factor 2

C(x, y) -> (x + 2y, y + 6), a shear and translation

D(x, y) -> (0.5x + 10, y), a horizontal compression and shift

Solution & Explanation:A congruence transformation preserves all distances and angle measures. Choice A is a 180-degree rotation about (5,3), which is rigid. The other choices scale or shear the design.

Problem 3Difficulty: Mastery

Compare f(x, y) = (3 - y, x + 3) and g(x, y) = (2x - 3, 2y + 1). Which statement is correct?

Af is rigid and preserves distance and angle measure; g is a dilation with scale factor 2 and preserves angle measure but not distance

BBoth f and g are rigid because both use addition and subtraction

Cf is a projection and g is a reflection, so neither preserves angle measure

DBoth f and g are dilations, so both preserve angle measure but not distance

Solution & Explanation:The rule f has the form of a 90-degree counterclockwise rotation followed by a translation, so it is rigid. The rule g multiplies both coordinates by 2 from a center, so it is a dilation that changes distances but preserves angles.

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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.2-3 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.2-3. Skill statement in this prompt cell: Identify the transformation represented by a rule or mapping and select whether it preserves distance and angle measure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.A.2-3; NY GEO G.G-CO.A; FL MA.912.GR.2.1-2.3, 2.5-2.6, 2.8; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).