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

GEO.102 Area and perimeter changes under similarity Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.102 Area and perimeter changes under similarity. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.102 Area and perimeter changes under similarity - 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 scaling relationship for perimeter or area under similarity and compute the missing value. 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; CCSS G-SRT.A (scaling ideas), G-GMD; FL MA.912.GR.4.3; VA G.DF.2. 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.102 Area and perimeter changes under similarity skill assessments:

Problem 1Difficulty: Mastery
A patio is expanded to make a similar patio. The new patio's perimeter is 1.25 times the old patio's perimeter, and the new area is 225 square feet. What was the old patio's area?
A112.5 square feet
B144 square feet
C180 square feet
D281.25 square feet
Solution & Explanation:The linear scale factor is 1.25 = 5/4. The area factor is (5/4)2 = 25/16. To find the old area, divide 225 by 25/16: 225 x 16/25 = 144 square feet.
Problem 2Difficulty: Mastery
A diagram shows two similar L-shaped logos. The scale factor from the original logo to the image logo is 3/4. The original logo has perimeter 88 units and area 128 square units. Which measurement pair is correct for the image logo?
APerimeter 66 units; area 72 square units
BPerimeter 66 units; area 96 square units
CPerimeter 49.5 units; area 72 square units
DPerimeter 117.3 units; area 227.6 square units
Solution & Explanation:Perimeter is multiplied by 3/4, so 88 x 3/4 = 66. Area is multiplied by (3/4)2 = 9/16, so 128 x 9/16 = 72.
Problem 3Difficulty: Mastery
A similar image has perimeter 66 units and area 244 square units. The original figure's perimeter was 33 units. What was the original area?
A61 square units
B122 square units
C488 square units
D976 square units
Solution & Explanation:The scale factor from original to image is 66/33 = 2. Area was multiplied by 22 = 4, so the original area was 244 / 4 = 61 square units.

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Frequently Asked Questions

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QHow do I download and print this GEO.102 Area and perimeter changes under similarity worksheet?

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QIs this GEO.102 Area and perimeter changes under similarity 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 scaling relationship for perimeter or area under similarity and compute the missing value. 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; CCSS G-SRT.A (scaling ideas), G-GMD; FL MA.912.GR.4.3; VA G.DF.2. Use this prompt-provided wording as the supporting standard description for this workflow.).

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