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

8.121 Understanding Similarity Through 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 8.121 Understanding Similarity Through Transformations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.121 Understanding Similarity Through Transformations - Which conclusion about similarity is correct based on the transformations and scale factor? (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

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Below are sample questions representative of the exercises included on this worksheet and related 8.121 Understanding Similarity Through Transformations skill assessments:

Problem 1Difficulty: Hard
Two students compare a preimage and an image. Student 1 says, 'Because the image is farther from the origin, the figures are automatically similar.' Student 2 says, 'You must check that a dilation and rigid motions can map one figure to the other.' Which statement is best?
AStudent 1 only is correct.
BStudent 2 only is correct.
CBoth students are correct.
DNeither student is correct.
Solution & Explanation:A figure being farther from the origin does not prove similarity. You still need to verify that one constant scale factor and rigid motions can map one figure to the other.
Problem 2Difficulty: Hard
Figure G is translated 3 units left, reflected across the x-axis, and then dilated by a scale factor of 2 to form figure H. Which conclusion is most accurate?
AFigure H is congruent to figure G because the last step was a dilation.
BFigure H is similar to figure G because the rigid motions preserve shape and the dilation multiplies all lengths by 2.
CFigure H is not similar to figure G because a reflection changes the order of the vertices.
DFigure H is not similar to figure G because three transformations were used.
Solution & Explanation:The translation and reflection are rigid motions, so they keep the same shape. The dilation changes every side length by a factor of 2, so the final figure is similar to the original.
Problem 3Difficulty: Hard
A side length in the image is 27 units after a dilation with scale factor 0.6 from the original figure. What was the original side length?
Solution & Explanation:If image = original times 0.6, then original = 27 divided by 0.6. That gives an original side length of 45 units.

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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 conclusion about similarity is correct based on the transformations and scale factor? 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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