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

8.141 Finding Missing Side Lengths in Similar Figures Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.141 Finding Missing Side Lengths in Similar Figures. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.141 Finding Missing Side Lengths in Similar Figures - Which value is the correct missing side length using similarity and corresponding sides? (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 8.141 Finding Missing Side Lengths in Similar Figures skill assessments:

Problem 1Difficulty: Hard
The corresponding side lengths of two similar polygons are in the ratio 3.5:5.6 from the smaller polygon to the larger polygon. If a side on the larger polygon is 14.4, what is the matching side on the smaller polygon?
Solution & Explanation:Use corresponding sides to work back with the scale factor. Since 3.5/5.6 = 0.625, multiply 14.4 by 0.625 to get 9.
Problem 2Difficulty: Hard
At the same time of day, a fence post that is 2.5 m tall casts a shadow of 1.8 m. A radio tower casts a shadow of 43.2 m at the same time. Assuming the triangles are similar, how tall is the radio tower?
Solution & Explanation:The height-to-shadow ratios match in similar triangles. Since 43.2/1.8 = 24, multiply 2.5 by 24 to get 60.
Problem 3Difficulty: Hard
A reduced version of a painting is similar to the original. If the original width is 160 cm and the new width is 42 cm, find the new height when the original height is 240 cm.
Solution & Explanation:Use corresponding sides to find the scale factor. Since 42/160 = 0.2625, multiply 240 by 0.2625 to get 63.

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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 value is the correct missing side length using similarity and corresponding sides? 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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