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

8.122 Describing a Sequence of Transformations for Similarity Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.122 Describing a Sequence of Transformations for Similarity. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.122 Describing a Sequence of Transformations for Similarity - Which sequence of transformations correctly maps the preimage onto the similar 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 8.122 Describing a Sequence of Transformations for Similarity skill assessments:

Problem 1Difficulty: Hard

Each vertex of JKLM is transformed to make a similar figure. The preimage coordinates are J(-2, 2), K(2, 1), L(0, 4), M(-3, 4) and the image coordinates are J'(10/3, 8/3), K'(8/3, 16/3), L'(14/3, 4), M'(14/3, 2). Which sequence takes JKLM to J'K'L'M'?

ADilate by a factor of 2/3 centered at (-4, -3), then reflect across the line y = x, then translate by vector <3, 5>

BDilate by a factor of 2/3 centered at (-3, -3), then reflect across the line y = -x, then translate by vector <3, 5>

CDilate by a factor of 2/3 centered at (-3, -3), then reflect across the line y = x, then translate by vector <3, 5>

DDilate by a factor of 2/3 centered at (-2, -3), then reflect across the line y = x, then translate by vector <3, 5>

Solution & Explanation:The correct answer must match both the orientation and the scale factor. Applying dilate by a factor of 2/3 centered at (-3, -3), then reflect across the line y = x, then translate by vector <3, 5> sends the preimage to the listed image coordinates.

Problem 2Difficulty: Hard

Each vertex of JKLM is transformed to make a similar figure. The preimage coordinates are J(-3, 2), K(-1, 0), L(4, 4), M(-2, 3) and the image coordinates are J'(-8, 7), K'(-4, 3), L'(-12, -7), M'(-10, 5). Which sequence takes JKLM to J'K'L'M'?

ADilate by a factor of 2 centered at (1, -1), then reflect across the line y = -x, then translate by vector <-3, -1>

BDilate by a factor of 2 centered at (1, -1), then reflect across the line y = -x, then translate by vector <-3, 0>

CDilate by a factor of 2 centered at (1, -1), then reflect across the x-axis, then translate by vector <-3, 0>

DDilate by a factor of 2 centered at (0, -1), then reflect across the line y = -x, then translate by vector <-3, 0>

Solution & Explanation:Check one vertex and the scale change. J(-3, 2) moves step by step to J'(-8, 7), and the entire figure keeps the same shape while resizing correctly. That matches dilate by a factor of 2 centered at (1, -1), then reflect across the line y = -x, then translate by vector <-3, 0>.

Problem 3Difficulty: Hard

Which sequence of transformations maps polygon FGHI with vertices F(-3, -1), G(0, -2), H(-2, 3), I(-2, 2) to F'G'H'I' with vertices F'(29/2, -1), G'(7, -7/2), H'(12, 9), I'(12, 13/2)?

ADilate by a factor of 2 centered at (2, -1), then reflect across the y-axis, then translate by vector <4, 0>

BDilate by a factor of 2/3 centered at (2, -1), then reflect across the y-axis, then translate by vector <4, 0>

CDilate by a factor of 5/2 centered at (2, -1), then reflect across the y-axis, then translate by vector <4, 0>

DDilate by a factor of 5/2 centered at (2, -1), then reflect across the y-axis, then translate by vector <4, -1>

Solution & Explanation:The image has the correct size, orientation, and location only if you dilate by a factor of 5/2 centered at (2, -1), then reflect across the y-axis, then translate by vector <4, 0>. For example, G(0, -2) ends at G'(7, -7/2) under that sequence.

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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 sequence of transformations correctly maps the preimage onto the similar 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.).