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

GEO.52 Dilations and scale factors Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.52 Dilations and scale factors. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.52 Dilations and scale factors - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.2-3. Skill statement in this prompt cell: Identify the center and scale factor of a dilation and select how a length or coordinate changes under that dilation. 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); CCSS G-SRT.A.1-3; NY GEO G.G-SRT.A; MA G-SRT.A; FL MA.912.GR.2.8. 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.52 Dilations and scale factors skill assessments:

Problem 1Difficulty: Mastery
A dilation is centered at C(2, 6). Point P(14, -2) maps to P', and the x-coordinate of P' is 8. What are the scale factor and P'?
Ak=1/2 and P'=(8, 2)
Bk=2 and P'=(26, -10)
Ck=1/2 and P'=(7, 3)
Dk=3/2 and P'=(20, -6)
Solution & Explanation:From C to P, the offset is (12, -8). The image x-coordinate 8 means the image x-offset from C is 6, so k=6/12=1/2. Half of the y-offset is -4, so P'=(8, 2).
Problem 2Difficulty: Mastery
A dilation with scale factor 2 is centered at C. Point P is 13 units from C. Which statement about P' is correct?
ACP'=26 units and PP'=13 units, with P between C and P'.
BCP'=13 units and PP'=26 units, with P' between C and P.
CCP'=15 units because the scale factor adds 2 units.
DCP'=6.5 units because dilation by 2 cuts distances in half.
Solution & Explanation:The image distance is CP'=2*13=26 units. Since k>1, P' is beyond P on the ray from C, so PP'=26-13=13 units.
Problem 3Difficulty: Mastery
A polygon side changes from 10 units to 35 units under a dilation centered at C(1, 1). Under the same dilation, where does P(3, 5) map?
A(8, 15)
B(7, 14)
C(11, 21)
D(4.5, 9.5)
Solution & Explanation:The scale factor is 35/10=7/2. From C to P is (2, 4). Multiplying by 7/2 gives (7, 14), so P'=(8, 15).

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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.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 center and scale factor of a dilation and select how a length or coordinate changes under that dilation. 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); CCSS G-SRT.A.1-3; NY GEO G.G-SRT.A; MA G-SRT.A; FL MA.912.GR.2.8. Use this prompt-provided wording as the supporting standard description for this workflow.).

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