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What are 2D Shapes?

Collection of common 2D shapes
Common 2-dimensional shapes

2-dimensional shapes, also called 2D shapes, are flat figures that have length and width but no depth. These shapes lie completely on a flat surface, like a piece of paper. The "2D" stands for two dimensions - length and width.

Unlike 3D shapes that have thickness (like a ball or a box), 2D shapes are completely flat. You can draw them on paper, but you can't hold them in your hand because they have no thickness. Common examples include circles, squares, triangles, and rectangles.

Understanding 2D shapes is an important foundation for geometry. These shapes are everywhere in our world - in signs, patterns, buildings, and nature.

Properties of 2D Shapes

Illustration showing sides, vertices, and angles of a triangle and a square
Properties of 2D shapes - sides, vertices, angles

All 2D shapes have special characteristics called properties that help us identify and classify them:

Sides: These are the straight lines that make up the shape. For example, a triangle has 3 sides, a square has 4 sides, and a pentagon has 5 sides.

Vertices: These are the points where two sides meet (corners). The singular form is "vertex." A triangle has 3 vertices, a square has 4 vertices.

Angles: These are the spaces between two sides at each vertex. Angles are measured in degrees. Right angles (90 degrees) are common in squares and rectangles.

Symmetry: Many shapes have symmetry, meaning one half is a mirror image of the other half. A square has 4 lines of symmetry, while a rectangle has 2.

Triangle
3 Sides
3 Vertices
3 Angles
Square
4 Equal Sides
4 Vertices
4 Right Angles
Pentagon
5 Sides
5 Vertices
5 Angles
Hexagon
6 Sides
6 Vertices
6 Angles

Types of 2D Shapes

Collection of different polygon types and curved shapes
Different types of 2D shapes - polygons and curved shapes

2D shapes can be classified into different categories based on their properties:

Polygons: Closed shapes with straight sides. These include:

  • Triangle (3 sides)
  • Quadrilateral (4 sides) - square, rectangle, rhombus, trapezoid
  • Pentagon (5 sides)
  • Hexagon (6 sides)
  • Octagon (8 sides)
Curved Shapes: Shapes that have curved sides:
  • Circle - perfectly round, no sides
  • Oval - like a stretched circle
  • Heart - curved shape with two rounded parts at top
Regular vs. Irregular: Regular polygons have all sides equal and all angles equal. Irregular polygons have sides and angles of different lengths and measures.

Circle
0 Sides
No Vertices
Curved
Rhombus
4 Equal Sides
Opposite Angles Equal
Trapezoid
4 Sides
1 Pair Parallel Sides
Heart
Curved Shape
No Straight Sides

Transformations of 2D Shapes

Examples of reflection, rotation, and translation of a triangle
Transformations - reflection, rotation, translation

Transformations are ways to move or change a shape without altering its size or shape. There are three main types of transformations:

Reflection

Flipping a shape over a line (like a mirror image)

Rotation

Turning a shape around a fixed point

Translation

Sliding a shape without turning or flipping it

Understanding transformations helps us see how shapes can move and change position while keeping their essential properties the same. This is important in art, design, and computer graphics.

2D Shapes Practice Quiz

Test your knowledge of 2D shapes with this 5-question quiz. Choose the correct answer for each question.

1. How many sides does a hexagon have?
2. Which shape has no straight sides?
3. What is the name for a shape with 4 equal sides and 4 right angles?
4. Which transformation means "flipping" a shape?
5. How many vertices does a triangle have?

Frequently Asked Questions

Here are answers to common questions about 2D shapes:

Shape Trivia

Discover interesting facts about shapes:

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