🎓 Grade 2📄 Free PDF✅ Answer Keys🎯 4 Classroom Sets

Identifying Polygons: Sides & Vertices · Free Worksheets (Grade 2)

Practice identifying polygons: sides & vertices (Grade 2) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

📐Aligned to Common Core (CCSS.MATH.CONTENT.2.G.A.1)·5-10 min per sheet

Include Key in PrintShow Worked Steps

Count:

Format:

PanMaths.comIdentifying Polygons: Sides & Vertices Worksheets • Set A (Standard)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

1.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

2.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

3.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

4.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

5.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

6.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

7.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

8.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

9.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

10.Count sides & vertices:

Sides:

____

Vertices:

____

Name:

________________

PanMaths.com • Free Printable Math WorksheetsPage 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Standard)

Answer Key

Total Problems: 10

1.Count sides & vertices:

Sides:

Vertices:

Name:

Hexagon

6 sides, 6 vertices ➔ Hexagon ✓

2.Count sides & vertices:

Sides:

Vertices:

Name:

Triangle

3 sides, 3 vertices ➔ Triangle ✓

3.Count sides & vertices:

Sides:

Vertices:

Name:

Rhombus

4 sides, 4 vertices ➔ Rhombus ✓

4.Count sides & vertices:

Sides:

Vertices:

Name:

Parallelogram

4 sides, 4 vertices ➔ Parallelogram ✓

5.Count sides & vertices:

Sides:

Vertices:

Name:

Trapezoid

4 sides, 4 vertices ➔ Trapezoid ✓

6.Count sides & vertices:

Sides:

Vertices:

Name:

Octagon

8 sides, 8 vertices ➔ Octagon ✓

7.Count sides & vertices:

Sides:

Vertices:

Name:

Rectangle

4 sides, 4 vertices ➔ Rectangle ✓

8.Count sides & vertices:

Sides:

Vertices:

Name:

Pentagon

5 sides, 5 vertices ➔ Pentagon ✓

9.Count sides & vertices:

Sides:

Vertices:

Name:

Right Triangle

3 sides, 3 vertices ➔ Right Triangle ✓

10.Count sides & vertices:

Sides:

Vertices:

Name:

Square

4 sides, 4 vertices ➔ Square ✓

PanMaths.com • Answer Key & SolutionsPage 2 of 2

✨

Need a Multi-Topic Review Test or Custom Problem Mix?Combine Identifying Polygons: Sides & Vertices Worksheets with other math skills into a custom 15-to-25 question test with 1-click dual-set anti-cheat PDFs & answer keys.

Build Custom Worksheet ➔

Worksheet Info

Categorygrade-2

Grade LevelGrade 2

DifficultyEasy, Medium, Hard, Sprint

Time5-10 min

CCSS CodeCCSS.MATH.CONTENT.2.G.A.1

Skills Practiced

✓ Identifying Polygons: Sides & Vertices

Key Strategies

📏 The Sides & Vertices Invariant: In every polygon, the number of straight sides ALWAYS equals the number of vertices and angles (e.g., a pentagon has 5 sides, 5 vertices, and 5 angles).
🚫 The Non-Polygon Rule: A shape is NOT a polygon if it has curved edges (like a circle or oval) or if it is an open shape (where lines do not connect completely).
🔷 The Quadrilateral Family: Any polygon with exactly 4 straight sides is a quadrilateral. Squares, rectangles, rhombuses, parallelograms, and trapezoids are all special quadrilaterals.
📍 Trace & Dot Method: Students physically trace each straight side with a pencil and place a dot at each sharp vertex to ensure accurate counting without double-counting.

Related Worksheets

📄 Base-10 Blocks to 1,000View →📄 Expanded Form 3-Digit NumbersView →📄 Comparing 3-Digit NumbersView →📄 Skip Counting by 3s and 4sView →

📜 Standard: CCSS.MATH.CONTENT.2.G.A.1🔗 CCSS.MATH.CONTENT.2.MD.A.1🔗 CCSS.MATH.CONTENT.3.G.A.1

Mastering Identifying Polygons: Sides & Vertices: Core Concepts & Mental Models

A polygon is a closed two-dimensional figure formed by straight line segments that meet only at their endpoints. In Grade 2, students transition from simple visual shape matching to attribute-based classification: counting the straight sides, vertices (corners), and angles of triangles, quadrilaterals, pentagons, hexagons, and octagons.

Worked Example & SolutionTeacher Step-by-Step Method

📝 Problem: Count the sides and vertices of a hexagon. Name the polygon.

Worked Solution: 1. Count straight boundary edges: 6 sides. 2. Count corners (vertices): 6 vertices. 3. Name: A closed 6-sided polygon is a Hexagon. ✅

💡 Essential Strategies for Identifying Polygons: Sides & Vertices

📏 The Sides & Vertices Invariant

In every polygon, the number of straight sides ALWAYS equals the number of vertices and angles (e.g., a pentagon has 5 sides, 5 vertices, and 5 angles).

🚫 The Non-Polygon Rule

A shape is NOT a polygon if it has curved edges (like a circle or oval) or if it is an open shape (where lines do not connect completely).

🔷 The Quadrilateral Family

Any polygon with exactly 4 straight sides is a quadrilateral. Squares, rectangles, rhombuses, parallelograms, and trapezoids are all special quadrilaterals.

📍 Trace & Dot Method

Students physically trace each straight side with a pencil and place a dot at each sharp vertex to ensure accurate counting without double-counting.

⚠️ Common Mistakes & Teacher Fixes

⚠️Thinking a circle or oval is a polygon

Why students stumble: Students see circles as common 2D shapes and assume all 2D shapes are polygons.

Teacher Fix: A polygon MUST be made of straight sides. Curves cannot form polygons.

Example: A circle has 0 straight sides, so it is NOT a polygon.

⚠️Thinking a shape is not a polygon because it is rotated or non-regular

Why students stumble: Children often only recognize equilateral triangles or horizontal squares.

Teacher Fix: Focus only on defining attributes: 3 straight sides = triangle, no matter how it is turned.

Example: An upside-down triangle is still a triangle (3 sides, 3 vertices).

📖 Key Mathematical Vocabulary

Polygon

A closed, flat 2D shape with 3 or more straight sides.

Side

One of the straight line segments that forms the boundary of a polygon.

Vertex (plural: Vertices)

The corner point where two straight sides of a polygon meet.

Quadrilateral

Any 4-sided polygon (includes square, rectangle, rhombus, trapezoid).

Pentagon

A 5-sided polygon with 5 vertices.

Hexagon

A 6-sided polygon with 6 vertices.

Octagon

An 8-sided polygon with 8 vertices (like a stop sign).

🎯 4 Differentiated Classroom Sets Included

Standard 10Version A

Set A: Core Polygons & Attribute Counting (10 Problems)

Count sides, vertices, and classify vector polygons (triangles, squares, rectangles, pentagons, hexagons, octagons).

Anti-CheatVersion B

Set B: Alternate Polygons & Orientations (10 Problems)

Parallel structure with rotated shapes, trapezoids, rhombuses, and alternate polygons to eliminate desk-copying.

ChallengingVersion C

Set C: Polygon Discrimination & Quadrilateral Classification (8 Problems)

Higher cognitive load: distinguish polygons from non-polygons (curved/open), classify specific quadrilaterals, and solve attribute riddles.

Speed SprintVersion D

Set D: 3-Minute Quick Polygon Sprint (12 Problems)

12 rapid-fire polygon attribute facts (sides, vertices, names) for geometry automaticity.

❓ Frequently Asked Questions

How do you solve a identifying polygons: sides & vertices problem step by step?

Here is a worked example: "Count the sides and vertices of a hexagon. Name the polygon.". Solution: 1. Count straight boundary edges: 6 sides. 2. Count corners (vertices): 6 vertices. 3. Name: A closed 6-sided polygon is a Hexagon. ✅

What is the core learning objective for identifying polygons: sides & vertices?

Recognize, name, and categorize polygons based on defining geometric attributes (number of straight sides, vertices, and angles); classify triangles, quadrilaterals (squares, rectangles, rhombuses, trapezoids), pentagons, hexagons, and octagons, and distinguish polygons from non-polygons. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.2.G.A.1.

What is the most common mistake students make with identifying polygons: sides & vertices?

A frequent pitfall is: "Thinking a circle or oval is a polygon". Why students stumble: Students see circles as common 2D shapes and assume all 2D shapes are polygons. How to fix it: A polygon MUST be made of straight sides. Curves cannot form polygons. (Example: A circle has 0 straight sides, so it is NOT a polygon.)

What is included in the 4 differentiated worksheet sets?

Set A covers standard core practice (Count sides, vertices, and classify vector polygons (triangles, squares, rectangles, pentagons, hexagons, octagons).). Set B is an Anti-Cheat version with alternate numbers to prevent copying. Set C features challenging problems, and Set D is a timed sprint.

Are these identifying polygons: sides & vertices worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.