Free Printable WorksheetMathGrade 8Math Curriculum8.G.A.4

8.120 Finding Scale Factor and Center of Dilation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.120 Finding Scale Factor and Center of Dilation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.120 Finding Scale Factor and Center of Dilation - Which scale factor (and/or center) correctly describes the dilation that maps the preimage to the image? (CCSS 8.G.A.4; CA 8.G.A.4; MA 8.G.A.4)

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

Grade 8

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 8.120 Finding Scale Factor and Center of Dilation skill assessments:

Problem 1Difficulty: Hard
S(-1,-4) is dilated to S'(2,-10) with scale factor 7/4. What is the center of dilation?
A(-5,4)
B(-1,-4)
C(2,-10)
D(0,0)
Solution & Explanation:Test (-5,4) as the center. From (-5,4) to S the vector is (4,-8), and to the image it is (7,-14). Because (7,-14) = 7/4 times (4,-8), the center of dilation is (-5,4).
Problem 2Difficulty: Hard
R(25,0) is dilated to R'(17,-2) with scale factor 3/5. What is the center of dilation?
A(17,-2)
B(21,-1)
C(5,-5)
D(25,0)
Solution & Explanation:Test (5,-5) as the center. From (5,-5) to R the vector is (20,5), and to the image it is (12,3). Because (12,3) = 3/5 times (20,5), the center of dilation is (5,-5).
Problem 3Difficulty: Hard
A dilation with scale factor 4/3 maps Q(-9,0) to Q'(-11,2). Which ordered pair is the center of dilation?
A(-9,0)
B(-3,-6)
C(-10,1)
D(-11,2)
Solution & Explanation:Test (-3,-6) as the center. From (-3,-6) to Q the vector is (-6,6), and to the image it is (-8,8). Because (-8,8) = 4/3 times (-6,6), the center of dilation is (-3,-6).

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Frequently Asked Questions

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QIs this 8.120 Finding Scale Factor and Center of Dilation worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.G.A.4 (Primary standard selected for prompt fields: CCSS 8.G.A.4. Skill statement: Which scale factor (and/or center) correctly describes the dilation that maps the preimage to the image? Associated standards listed with this skill: CCSS 8.G.A.4; CA 8.G.A.4; MA 8.G.A.4. Use this embedded wording as the best available supporting standard description for this workflow.).

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