What are the Sides of a Shape?
The sides of a two dimensional shape are straight lines forming the boundary of the shape. Sides of a 2D shape are also called its edges. Two sides join to form a vertex. For instance, a triangle has three sides or edges.
For three dimensional shapes, sides refers to the faces of the object. These sides or faces connect to form the edges of the shape. For example, a cube has 6 square shaped sides or faces.
What are Vertices of an object?
Vertices of an object are the points or corners where the edges connect. ‘Vertex’ is the singular form of vertices. For example, the following pentagon has five vertices.
Solved Examples
Example 1: In the following two shapes, which shape has more vertices?
Answer: The shapes given are a hexagon and a triangle. As we have learned, vertices are the corners which connect the edges with each other.
Hence, a hexagon has 6 vertices and a triangle has 3 vertices.
Thus, the hexagon has more vertices as compared to the triangle.
Example 2: Tanya created the following shapes with playdough.
Answer: The playdough figures created by Tanya are:
A square, circles, a triangle, a diamond, a star and the shape of a heart.
The shapes with more than three sides are:
- Diamond
- Square
- Star
Example 3: State the number of vertices for the following shapes:
Answer: Here are the number of vertices for the given shapes:
- Square has 4 vertices
- Circle has no vertices
- Triangle has 3 vertices
- Rectangle has 4 vertices
- Pentagon has 5 vertices
- Hexagon has 6 vertices
- Octagon has 8 vertices
- Nonagon has 9 vertices
Circles don’t have vertices as they are made of a single curved line.
A square has 4 sides.
Quadrilaterals are four sided two-dimensional shapes. These shapes are closed and have both sides and vertices. A rectangle is an example of a quadrilateral.
2D shapes are flat shapes that have only two dimensions which are length and width. These shapes do not have height, depth or thickness.
3D shapes are solid shapes that have three dimensions that are length, width and height.