Free Printable WorksheetMathGeometryMath CurriculumG-SRT.A.1-3

GEO.105 Set up and solve proportions from similar figures Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.105 Set up and solve proportions from similar figures. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.105 Set up and solve proportions from similar figures - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.A.1-3. Skill statement in this prompt cell: Select the correct proportion for similar figures and determine the value of the unknown. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.A.1-3; NY GEO G.G-SRT.A; MA G-SRT.A; FL MA.912.GR.2.8. Use this prompt-provided wording as the supporting standard description for this workflow.

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

Geometry

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 GEO.105 Set up and solve proportions from similar figures skill assessments:

Problem 1Difficulty: Mastery
Two similar triangles have one corresponding side pair 18 and 45. Another corresponding pair is 2x + 4 and 30, with 2x + 4 in the same triangle as the side 18. What is x?
A3
B4
C5
D6
Solution & Explanation:The ratio from the first triangle to the second is 18/45 = 2/5. Set (2x + 4)/30 = 2/5. Then 5(2x + 4) = 60, so 2x + 4 = 12 and x = 4.
Problem 2Difficulty: Mastery
A blueprint is similar to an actual room. A drawing width of 12 centimeters corresponds to an actual width of 30 feet. A drawing length x corresponds to an actual length of 18 feet. What is x?
A6.4 centimeters
B7.2 centimeters
C8 centimeters
D9.6 centimeters
Solution & Explanation:Compare drawing length to actual length: x/18 = 12/30. Since 12/30 = 0.4, x = 18 x 0.4 = 7.2 centimeters.
Problem 3Difficulty: Mastery
In two similar figures, a side of 7/2 corresponds to a side of 21/2. A side of 5 corresponds to side x. What is x?
A10
B12
C15
D18
Solution & Explanation:The scale factor is (21/2)/(7/2) = 3. Therefore the side corresponding to 5 is x = 5 x 3 = 15.

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Frequently Asked Questions

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QIs this GEO.105 Set up and solve proportions from similar figures worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-SRT.A.1-3 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.A.1-3. Skill statement in this prompt cell: Select the correct proportion for similar figures and determine the value of the unknown. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.A.1-3; NY GEO G.G-SRT.A; MA G-SRT.A; FL MA.912.GR.2.8. Use this prompt-provided wording as the supporting standard description for this workflow.).

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