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How to identify different 2D shapes | Year 4 Mathematics PDF Download

What are 2D shapes?

  • 2D shapes are ubiquitous elements in our surroundings, appearing in various forms. 
  • For instance, windows commonly exhibit a rectangular shape, while clocks typically feature a circular design. 
  • These shapes are flat and possess distinct characteristics.

Properties of 2D Shapes

A property of a shape refers to a specific quality it possesses. These properties help us distinguish one shape from another. Some essential properties of 2D shapes include:

  • Number of sides
  • Number of vertices (corners)
  • Length of sides
  • Types of angles (acute, obtuse, right-angle)
  • Presence of perpendicular and parallel lines

Let's examine the properties of three common 2D shapes - a triangle, a square, and a hexagon etc.:
How to identify different 2D shapes | Year 4 Mathematics

Triangles

How to identify different 2D shapes | Year 4 Mathematics

  • All triangles consist of 3 sides and 3 angles. 
  • The sum of their internal angles always equals 180°. 
  • However, various types of triangles exist based on their properties, which include:
    • Isosceles
    • Equilateral
    • Scalene
    • Right-angled

Quadrilaterals

A quadrilateral is defined as a shape with 4 sides and 4 angles. Some examples of quadrilaterals along with their properties are:

How to identify different 2D shapes | Year 4 Mathematics

Rectangle

  • 2 pairs of equal sides.
  • Angles all right-angles (perpendicular lines).
  • 2 pairs of parallel lines.
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Square

  • A special type of rectangle.
  • Sides all have equal length.
  • Angles are all right-angles (perpendicular lines).
  • 2 pairs of parallel lines.

Trapezium

  • 1 pair of parallel lines.
  • 2 sets of equal angles.
  • 2 lines equal length and 2 that aren’t.

Kite

  • 2 pairs of equal sides.
  • 1 pair of equal angles.
  • No parallel lines.
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Regular Polygons

How to identify different 2D shapes | Year 4 Mathematics

Regular polygons are shapes with all sides and angles equal. Let's explore some common examples:

Pentagon

  • A pentagon has five equal sides and angles.

Hexagon

  • A hexagon has six equal sides and angles, with three pairs of parallel lines.

Heptagon

  • A heptagon features seven equal sides and angles.

Octagon

  • An octagon consists of eight equal sides and angles, with four pairs of parallel lines.
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Irregular Polygons

How to identify different 2D shapes | Year 4 Mathematics

  • Definition: Irregular polygons are shapes with sides and angles of varying sizes.
  • Identification: Each polygon can be recognized by the number of sides it possesses. For instance, a pentagon always has 5 sides.
  • Example:
    • This irregular pentagon features sides and angles of different lengths and sizes.
    • It includes two right angles and a pair of equal sides, while the other three sides have varying lengths.

Question for How to identify different 2D shapes
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Which shape has three equal sides and three equal angles?
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