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

8.124 Solving Problems with Similar Figures and Scale Factor Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.124 Solving Problems with Similar Figures and Scale Factor. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.124 Solving Problems with Similar Figures and Scale Factor - Which missing side length is correct using similarity and the given scale factor? (CCSS 8.G.A.4; CCSS 8.G.A.5; 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 8.124 Solving Problems with Similar Figures and Scale Factor skill assessments:

Problem 1Difficulty: Hard
A larger parallelogram banner is similar to a smaller one. The small banner has perimeter 34 cm and a short side of 7 cm. The large banner has perimeter 51 cm. What is the matching short side on the large banner?
Solution & Explanation:Similar figures have matching perimeter and side-length ratios. The scale factor is 51/34 = 1.5, so 7 x 1.5 = 10.5.
Problem 2Difficulty: Hard
A display map is made from a travel map by enlarging every length by a factor of 1.35. If a road is 16 cm on the travel map, how long is that road on the display map?
Solution & Explanation:Multiply 16 by the scale factor 1.35: 16 x 1.35 = 21.6.
Problem 3Difficulty: Hard
Two similar triangles have a scale factor of 5/4 from smaller to larger. The larger corresponding side is 3 cm longer than the smaller side. What is the larger side length?
Solution & Explanation:Let the smaller side be s. Then the larger side is 1.25s, and the problem says 1.25s = s + 3. Solving gives s = 12, so the larger side is 15.

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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.4 (Primary standard selected for prompt fields: CCSS 8.G.A.4. Skill statement: Which missing side length is correct using similarity and the given scale factor? Associated standards listed with this skill: CCSS 8.G.A.4; CCSS 8.G.A.5; 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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