Free Printable WorksheetMathGeometryMath CurriculumG-CO.A.1

GEO.63 Polygon classification and angle sums Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.63 Polygon classification and angle sums. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.63 Polygon classification and angle sums - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.1. Skill statement in this prompt cell: Select the correct polygon classification and compute an interior or exterior angle sum or measure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.A.1; NY GEO G.G-CO.1; MA G-CO.A.1; TEKS §111.41(c); FL MA.912.GR.2.*; CCSS G-CO.C.10; FL MA.912.GR.1.3; MA G-CO.C.10; NY GEO G.G-CO.C.10. 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.63 Polygon classification and angle sums skill assessments:

Problem 1Difficulty: Mastery
A builder compares a regular nonagon and a regular dodecagon. Which polygon has the larger interior angle, and by how much?
AThe regular nonagon by 10 degrees
BThe regular dodecagon by 10 degrees
CThe regular dodecagon by 20 degrees
DThey are equal
Solution & Explanation:A regular nonagon has interior angle 140 degrees. A regular dodecagon has interior angle 150 degrees. The dodecagon's interior angle is larger by 10 degrees.
Problem 2Difficulty: Mastery
A convex 17-gon is divided into triangles by drawing all diagonals from one vertex to nonadjacent vertices. How many triangles are formed, and what is the interior angle sum?
A15 triangles; 2700 degrees
B16 triangles; 2880 degrees
C17 triangles; 3060 degrees
D19 triangles; 3420 degrees
Solution & Explanation:Drawing diagonals from one vertex divides an n-gon into n - 2 triangles. For n = 17, there are 15 triangles and the angle sum is 15 x 180 = 2700 degrees.
Problem 3Difficulty: Mastery
A convex octagon has exterior angles 30 degrees, 30 degrees, 40 degrees, 40 degrees, 50 degrees, 50 degrees, x degrees, and x degrees. What is x, and what does this show about the octagon?
Ax = 40; the octagon is regular
Bx = 50; the octagon is regular
Cx = 60; the octagon is not regular
Dx = 70; the octagon is not regular
Solution & Explanation:The exterior angles sum to 360 degrees. The known angles total 240 degrees, so 2x = 120 and x = 60. The exterior angles are not all equal, so the octagon is not regular.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this GEO.63 Polygon classification and angle sums worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice GEO.63 Polygon classification and angle sums interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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-CO.A.1 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.A.1. Skill statement in this prompt cell: Select the correct polygon classification and compute an interior or exterior angle sum or measure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.A.1; NY GEO G.G-CO.1; MA G-CO.A.1; TEKS §111.41(c); FL MA.912.GR.2.*; CCSS G-CO.C.10; FL MA.912.GR.1.3; MA G-CO.C.10; NY GEO G.G-CO.C.10. Use this prompt-provided wording as the supporting standard description for this workflow.).

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