Free Printable WorksheetMathGrade 8Math Curriculum8.G.A.3

8.119 Dilations on a Coordinate Plane Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.119 Dilations on a Coordinate Plane. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.119 Dilations on a Coordinate Plane - Which image or coordinate rule shows the correct dilation for the given scale factor and center? (CCSS 8.G.A.3; CCSS 8.G.A.4; CA 8.G.A.3; MA 8.G.A.3)

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 8.119 Dilations on a Coordinate Plane skill assessments:

Problem 1Difficulty: Hard
Point P(6, 8) is dilated about (4, 4) and lands at P'(5, 6). What value of k was used?
Solution & Explanation:From center (4, 4), the vector (6, 8) - center is (2, 4), and the image vector is (1, 2). The image vector is 1/2 times as large, so k = 1/2.
Problem 2Difficulty: Hard
A dilation centered at (2, 2) with scale factor 1/2 is applied to the quadrilateral with points J(2, 2), K(6, 2), L(4, 6), M(2, 4). What are the image coordinates?
AJ'(1, 1), K'(3, 1), L'(2, 3), M'(1, 2)
BJ'(2, 2), K'(10, 2), L'(6, 10), M'(2, 6)
CJ'(2, 2), K'(4, 2), L'(3, 4), M'(2, 3)
DJ'(2, 2), K'(4, 2), L'(3, 6), M'(2, 4)
Solution & Explanation:Measure each vertex from the center (2, 2), multiply each difference by 1/2, and add the center back. The image is J'(2, 2), K'(4, 2), L'(3, 4), M'(2, 3).
Problem 3Difficulty: Hard
After a dilation from center (0, 0) by factor 2/3, what is the image of the triangle with points A(3, 0), B(0, 3), C(-3, 0)?
AA'(9/2, 0), B'(0, 9/2), C'(-9/2, 0)
BA'(2, 0), B'(0, 2), C'(-2, 0)
CA'(2, 0), B'(0, 3), C'(-2, 0)
DA'(3, 0), B'(0, 2), C'(-3, 0)
Solution & Explanation:Measure each vertex from the center (0, 0), multiply each difference by 2/3, and add the center back. The image is A'(2, 0), B'(0, 2), C'(-2, 0).

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Frequently Asked Questions

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Yes! In addition to this printable worksheet, students can practice 8.119 Dilations on a Coordinate Plane 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 Grade 8 Math students. It aligns with educational standard 8.G.A.3 (Primary standard selected for prompt fields: CCSS 8.G.A.3. Skill statement: Which image or coordinate rule shows the correct dilation for the given scale factor and center? Associated standards listed with this skill: CCSS 8.G.A.3; CCSS 8.G.A.4; CA 8.G.A.3; MA 8.G.A.3. Use this embedded wording as the best available supporting standard description for this workflow.).

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