Plane Shapes - Definition, Examples, Quiz, FAQ, Trivia
Discover the wonderful world of two-dimensional shapes all around us!
What Are Plane Shapes?

Plane shapes, also called two-dimensional shapes or 2D shapes, are flat figures that have length and width but no depth or thickness. Think of them as shapes you could draw on a piece of paper that are completely flat.
These shapes are all around us in everyday life. A plane shape is defined by its outline or boundary, and everything inside that boundary is part of the shape. They can be simple like circles and squares, or more complex like stars and hearts.
Math Fact!
The word "geometry" comes from Greek words meaning "earth measurement." Ancient Egyptians used geometry to measure land after Nile River floods!
Types of Plane Shapes

There are many different types of plane shapes. Some have straight sides, some have curved sides, and some have both. Here are the most common ones:
Square
4 equal sides, 4 right angles
Circle
All points are the same distance from the center
Triangle
3 sides, 3 angles
Rectangle
4 sides, opposite sides equal, 4 right angles
Rhombus
4 equal sides, opposite angles equal
Pentagon
5 sides, 5 angles
Hexagon
6 sides, 6 angles
Star
Points extending from a center
Shapes with straight sides are called polygons. Triangles, squares, rectangles, and hexagons are all examples of polygons. Circles and ovals are not polygons because they have curved sides.
Real World Examples

Plane shapes are all around us! Once you start looking, you'll notice them everywhere in your daily life:
Circles
Clocks, coins, wheels, buttons, pizza
Squares
Chess boards, sticky notes, windows, tiles
Triangles
Sandwiches, road signs, pizza slices, roofs
Rectangles
Doors, books, smartphones, tables
Artists and designers use plane shapes to create patterns and artwork. Architects use them when designing buildings. Even nature uses plane shapes - think of honeycomb hexagons or the circular shape of many flowers.
Shape Properties

We can describe and identify plane shapes by their properties. The main properties to look for are:
Sides
The straight lines that form the shape's boundary
Vertices
Points where two sides meet (corners)
Angles
The space between two connecting sides
Symmetry
When one half of a shape mirrors the other half
For example, a square has 4 equal sides, 4 vertices (corners), and 4 right angles (90° angles). It also has 4 lines of symmetry. A circle has no straight sides or vertices, but it has infinite lines of symmetry through its center.
Did You Know?
The triangle is the strongest shape used in construction. That's why you see triangular supports in bridges and towers!
Plane Shapes Quiz
Test your knowledge about plane shapes with this quiz! Answer all 5 questions to see how much you've learned.
Frequently Asked Questions
Here are answers to some common questions about plane shapes:
Math Trivia
Discover some amazing facts about shapes and geometry!
Ancient Geometry
The ancient Egyptians used geometry over 4,000 years ago to re-establish field boundaries after the Nile River flooded each year. This was crucial for their agricultural society.
Perfect Circles
It's mathematically impossible to draw a perfect circle freehand. Even the most skilled artists create circles that are slightly imperfect when examined closely.
Bee Geometry
Honeybees naturally build their honeycombs with hexagonal cells. This shape allows them to store the most honey using the least amount of wax, making it the most efficient design.
Strong Triangles
Triangles are the strongest geometric shape. That's why you see them in bridges, towers, and other structures that need to be strong and stable. The triangle distributes weight evenly.