Free Printable WorksheetMathGeometryMath CurriculumG-SRT.A.1-3

GEO.85 Scale factors and centers of dilation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.85 Scale factors and centers of dilation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.85 Scale factors and centers of dilation - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.A.1-3. Skill statement in this prompt cell: Identify the scale factor and center of dilation and choose the correct image length or coordinate after dilation. Associated standards listed with this skill in the curriculum source: 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.85 Scale factors and centers of dilation skill assessments:

Problem 1Difficulty: Mastery
A dilation has scale factor 3/4 and sends segment PQ to P'Q'. If P'Q' = 15 units, what is PQ?
A11.25 units
B18 units
C20 units
D45 units
Solution & Explanation:Image length = scale factor x original length. So 15 = (3/4)PQ, and PQ = 15 x 4/3 = 20 units.
Problem 2Difficulty: Mastery
Points C, P', and P lie on the same ray in that order, so P' is between C and P. If CP' = 9 units and P'P = 6 units, what is the scale factor of the dilation centered at C that maps P to P'?
A3/5
B2/3
C5/3
D15
Solution & Explanation:The original distance is CP = CP' + P'P = 9 + 6 = 15. The scale factor is CP'/CP = 9/15 = 3/5.
Problem 3Difficulty: Mastery
Which formula correctly finds the image P' of point P after a dilation with center C and scale factor k?
AP' = C + k(P - C)
BP' = P + kC
CP' = k(C - P)
DP' = C - k(P + C)
Solution & Explanation:The vector from the center to the point is P - C. A dilation multiplies that vector by k, then places it back from the center, so P' = C + k(P - C).

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Frequently Asked Questions

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QHow do I download and print this GEO.85 Scale factors and centers of dilation worksheet?

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QIs this GEO.85 Scale factors and centers of dilation worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice GEO.85 Scale factors and centers of dilation 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-SRT.A.1-3 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.A.1-3. Skill statement in this prompt cell: Identify the scale factor and center of dilation and choose the correct image length or coordinate after dilation. Associated standards listed with this skill in the curriculum source: 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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