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

8.112 Translations 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 8.112 Translations on a Coordinate Plane. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.112 Translations on a Coordinate Plane - Which image or rule shows the correct translation of the figure by the given vector? (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

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 8.112 Translations on a Coordinate Plane skill assessments:

Problem 1Difficulty: Hard
Look at the correspondence A(-6, 2) -> A'(-2, 1); B(-3, 5) -> B'(1, 4); C(0, 3) -> C'(4, 2). Which statement is true?
AA translation changes the size of the figure, so this mapping cannot be one.
BBecause the coordinates include negative numbers, the move cannot be a translation.
COnly one point needs to move for the whole figure to be translated.
DEach vertex changes by (4, -1), so the image is a translation of the preimage.
Solution & Explanation:Every corresponding point has the same horizontal and vertical change, so the mapping is a translation.
Problem 2Difficulty: Hard
A student claims this mapping is a translation: A(0, 5) -> A'(4, -2); B(2, 8) -> B'(6, 1); C(5, 6) -> C'(11, -1). Which explanation best shows why the claim is incorrect?
AThe figure was rotated 180 degrees around the origin.
BC did not move by the same vector as the other points.
CA translation must always change only the x-coordinate.
DA translation changes side lengths, so this cannot be one.
Solution & Explanation:All points in a translation must move by the same vector (4, -7). Point C does not follow that same move.
Problem 3Difficulty: Hard
Two rules are suggested: Rule 1 (x, y) -> (x - 3, y - 3) and Rule 2 (x, y) -> (x + 3, y + 3). Which choice correctly identifies the rule that maps A(2, 1), B(5, 4), C(7, 2) to A'(-1, -2), B'(2, 1), C'(4, -1)?
ARule 1 only
BNeither rule
CRule 2 only
DBoth rules
Solution & Explanation:Checking a corresponding point shows the image matches (x, y) -> (x - 3, y - 3) and not (x, y) -> (x + 3, y + 3).

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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 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 rule shows the correct translation of the figure by the given vector? 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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