Paper Airplane Design and Research Project – Applications of Congruence Activity

Students apply triangle congruence to a real object in this high school geometry project. They construct paper airplanes that include congruent triangles, then justify the congruence using measurements and theorems. A research task has them explore why congruence matters in fields like engineering, architecture, and manufacturing.

The project combines hands-on design with critical thinking and practical applications of math.

How it works

• Paper airplane task: students construct paper airplanes and identify at least four sets of congruent triangles, justifying them with congruence theorems.
• Measuring: students use tools like protractors and rulers to measure angles and sides, which reinforces precision and congruence.
• Optional or additional research component: students investigate how congruence is applied in practical fields such as manufacturing and construction.
• Optional contest: ideas for a classroom paper airplane contest are included if you want a competitive element.

What’s included

• Detailed instructions
• Recording sheets
• Sample answer key

Materials needed

Students need measuring tools such as protractors and rulers.

Quick facts

• Skill: identifying congruent triangles and justifying congruence with theorems
• Grades: 8–10
• CCSS: HSG-SRT.B.4, HSG-SRT.B.5, HSG-SRT.C.6
• Answer key: included

Bundles and related resources

This project can be found in my Congruent Triangles Geometry Curriculum Unit.

Free resources

Get my free Warm Up Slides templates.

Terms of use

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