Your child points to a square and asks, “How many corners is that?” and you freeze up, stuck on the geometry word? Don’t worry, you’re not alone! Getting started with shape vocabulary like vertices can feel tricky. But it’s simple! Vertices are just the fancy name for the corners where the sides or edges of a shape meet. Understanding what vertices in shapes are is the first step to building your child’s spatial sense. Let’s make learning geometry intuitive and fun!
What Are Vertices in Shapes?
Vertices = The Shape’s “Handshake” Point
What are vertices in shapes? Imagine two lines walking toward each other. When they meet, they shake hands. That “handshake” point is a vertex!
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Get started free!- A vertex (singular) or vertices (plural) is where two or more straight sides or edges meet.
- It’s the sharp point on a flat shape (like a triangle) or the pointy corner on a solid object (like a gift box).
Try this simple trick with your child: Point to a slice of pizza. “See that super pointy tip? That’s a vertex!” Now look at a cardboard shipping box. Each of the eight solid corners is also a vertex.
Vertices in 2D Shapes
When we talk about flat, 2D shapes (the ones you can draw on paper), the vertices are the corners around the outside. Your child can easily touch them with their finger!
| 2D Shape | Number of Sides | Number of Vertices |
| Triangle | 3 | 3 |
| Square/Rectangle | 4 | 4 |
| Pentagon | 5 | 5 |
| Hexagon | 6 | 6 |
| Circle | 0 (Curved) | 0 |
Activity: The Finger-Counting Game
- Draw a big pentagon (5 sides) on a piece of paper.
- Ask your child to put their pointer finger on one corner (vertex).
- Have them count out loud as they move their finger to the next corner.
- Wow! They just counted all 5 vertices! This is the fastest way to check their understanding of vertices in 2D shapes.
Vertices in 3D Shapes
Corners, Sides, and Flat Surfaces
Solid, 3D shapes have three main features! They have vertices (the corners), edges (the straight lines), and faces (the flat sides).
| 3D Shape (e.g., Cube) | Feature Name | Simple Definition for Kids | Count |
| Vertex (Vertices) | Corner | The pointy spot where edges meet. | 8 |
| Edge (Edges) | Side/Line | The straight line where two faces meet. | 12 |
| Face (Faces) | Flat Surface | The flat side you can place your hand on. | 6 |
Think about a stack of building blocks (like a simple cube):
- Faces: The cube has 6 faces—the big, flat squares on the top, bottom, and all four sides. These are the parts you can draw on!
- Edges: The cube has 12 edges. These are the straight lines that connect one corner (vertex) to the next.
- Vertices: And yes, a cube has 8 vertices (4 on the top face and 4 on the bottom face).
How to Explain Vertices to a Child
The Easy 3-Step Method
You want to know how to explain vertices to a child without making it boring? Use this simple routine every time you introduce a new shape!
- Touch It! : Give your child a shape cutout or a real object (like a cereal box). Say, “Show me the part that feels pointy. That’s a vertex!”
- Count It!: Have them use a marker or a sticker to mark each vertex as they count it. A triangle has 1, 2, 3 vertices!
- Draw It!: Draw a simple 4-sided shape. Point out that the vertex is NOT the whole side, but just the exact meeting point.
A Common Mistake to Correct: Many kids confuse the side/edge with the vertex. The side is the long line between two vertices. The vertex is just the single point at the corner.
Fun Home Activities
Learning about what are vertices in shapes is best done through play! Try these quick, fun home activities tonight:
- Kitchen Vertices Hunt: Challenge your child to find shapes with vertices in the kitchen.
- Example: A square cracker (4 vertices), a hexagon on a floor tile (6 vertices), the corner of the refrigerator (8 vertices).
- The Fold-and-Count Game: Get a rectangular piece of paper.
- Count its 4 vertices.
- Fold the paper in half to make a smaller rectangle.
- Surprise! It still only has 4 vertices.
- Fold one of the corners down. Ask: “How many vertices do we have now?” (Answer: 5!) This shows them how folding changes the shape’s structure.
Learn More Geometry with WuKong Math
Understanding shapes, angles, and vertices becomes much easier when learning is guided step by step. WuKong Math offers a comprehensive K–12 curriculum that turns abstract geometry concepts into clear, visual, and engaging lessons.
Through interactive classes and real-world examples, students build strong spatial reasoning and problem-solving skills, essential foundations for advanced math and future SAT success. WuKong’s expert teachers make every concept easy to grasp, helping children move from “I don’t get it” to “I can explain it!”
Conclusion
Understanding vertices is like learning the basic letters of the geometry alphabet. Vertices are the essential “bones” or “skeletal structure” that holds every shape together. Try one of the fun counting activities tonight! When your child is ready to move beyond the basics, structured geometry lessons can help.
Frequently Asked Questions (FAQ)
The vertex is the single point (the corner). The edge is the straight line that connects two vertices. Think of a box: the pointy tip is the vertex, and the straight line on the box’s side is the edge.
No, a circle has zero vertices. Vertices are only formed where straight lines or edges meet. Since a circle is a continuous curved line, it has no corners.
The plural of vertex is vertices.
No! Any object, even an irregularly shaped rock or a crumpled piece of paper, will have vertices wherever its straight lines or edges meet.
Discovering the maths whiz in every child,
that’s what we do.
Suitable for students worldwide, from grades 1 to 12.
Get started free!Graduated from Columbia University in the United States and has rich practical experience in mathematics competitions’ teaching, including Math Kangaroo, AMC… He teaches students the ways to flexible thinking and quick thinking in sloving math questions, and he is good at inspiring and guiding students to think about mathematical problems and find solutions.
