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

8.138 Using Coordinate Rules for Transformations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.138 Using Coordinate Rules for Transformations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.138 Using Coordinate Rules for Transformations - Which coordinate rule correctly produces the image point for the transformation described? (CCSS 8.G.A.3; 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

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Below are sample questions representative of the exercises included on this worksheet and related 8.138 Using Coordinate Rules for Transformations skill assessments:

Problem 1Difficulty: Hard
Starting with (-1, -5), a point is translated 8 units right and 1 unit down and then reflected across the line y = -x. It ends at (6, -7). Which rule matches the overall transformation?
A(x, y) -> (-x - 8, -y + 1)
B(x, y) -> (-y + 1, -x - 8)
C(x, y) -> (-y + 1, x + 8)
D(x, y) -> (-y, -x)
Solution & Explanation:Apply the steps in order. First, translation 8 units right and 1 unit down gives (x, y) -> (x + 8, y - 1). Then reflection across the line y = -x changes that to (x, y) -> (-y + 1, -x - 8). Using (-1, -5) confirms the overall image is (6, -7).
Problem 2Difficulty: Hard
A point (x, y) is transformed in two steps: first rotate it 90 degrees counterclockwise about the origin, then reflect it across the line y = -x. Which coordinate rule gives the final image?
A(x, y) -> (x, -y)
B(x, y) -> (-y, -x)
C(x, y) -> (-x, y)
D(x, y) -> (-x, -y)
Solution & Explanation:Apply the steps in order. First, 90-degree counterclockwise rotation about the origin gives (x, y) -> (-y, x). Then reflection across the line y = -x changes that to (x, y) -> (-x, y).
Problem 3Difficulty: Hard
A vertex of pentagon LMNOP starts at (1, 4). After being dilated from the origin by a scale factor of 3 and then rotated 180 degrees about the origin, it lands at (-3, -12). Which coordinate rule describes the full transformation?
A(x, y) -> (-x, -y)
B(x, y) -> (3x, -3y)
C(x, y) -> (-3x, 3y)
D(x, y) -> (-3x, -3y)
Solution & Explanation:Apply the steps in order. First, dilation with scale factor 3 gives (x, y) -> (3x, 3y). Then 180-degree rotation about the origin changes that to (x, y) -> (-3x, -3y). Using (1, 4) confirms the overall image is (-3, -12).

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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.3 (Primary standard selected for prompt fields: CCSS 8.G.A.3. Skill statement: Which coordinate rule correctly produces the image point for the transformation described? Associated standards listed with this skill: CCSS 8.G.A.3; 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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