Geometric shapes are practically all around. No matter where you look or go, you will find almost everything made up of geometry. For example, the wall decals in your home are square, pentagon or rectangular. Similarly, a truss bridge is structured majorly in squares, rectangles, and triangles. Also if you have noticed, your favorite snowman is composed of circles, with a cone-shaped carrot nose. These shapes, both 2D and 3D, are quite important concerning Math learning too. With various examples of geometric shapes, we are also able to understand their usability, function and how to better implement them for our use.
List of Geometric Shapes
Here is a list of all geometric shapes that you will encounter. You must know that there are 2-dimensional shape areas followed by 3-dimensional shape areas. Different types of geometrical shapes have different shapes, sizes and properties as well. Understanding Math geometrical figures will help you to recognize different 2d & 3d shapes and know the distinctive properties of different 2d & 3d shapes as well the interior angles of regular polygons.
Geometric Shapes Definition with Examples
Here is a list of types of geometric shapes that you will frequently encounter in daily life. You will also find geometric shapes names that you might not be familiar with. Check below for different geometric shapes, along with an explanation, images and examples of where you can find them in everyday life.
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Square- The Square is the most common geometric figure that can be easily spotted in different spheres of everyday life. This geometric shape has 4 equal straight sides and 4 right angles. E.g., floor tile, room type, chessboard, wall clock, waffles etc.
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Triangle- A figure with three straight sides. Triangle is of different types with different measures of sides and angles. E.g., truss bridge, pyramids, sandwich, nachos cut diagonally.
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Rectangle- A rectangle has four straight sides and four right angles with opposites of different lengths and widths. E.g., deck of cards, hopscotch board, scale etc.
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Circle- A geometric figure which is completely round in shape and has the same radius from a definite point in the center is known as a circle. E.g., cake, cookie, wheels of a bike.
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Semicircle- A circle that is cut in exactly half along its diameter is what we call a semicircle. E.g., half a pizza, half a cardboard, diameter of compass set, diyas etc.
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Oval- A vertically extended form of a circle in which the radius is shorter on one axis than the other. E.g., oval mirror, eggs, hot dog buns etc.
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Cylinder- A 3-dimensional figure has parallel sides and a circular cross-section. E.g., pipe, test tube, cold drink cans, drinking glass etc.
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Parallelogram- A Four-sided polygon that has two pairs of parallel sides opposite to each other. E.g., laptop, building blocks, women’s clutch purses etc.
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Rhombus- A kind of parallelogram that consists of equal sides of length. E.g., kites, crystals of some sort and baseball diamonds.
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Pentagon- Basic geometric shape with five straight sides, essentially of equal length. E.g., sections of the soccer ball design, school crossing signs and honeycomb etc.
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Hexagon- Type of geometric shape having six straight sides, essentially of equal length. E.g., snowflakes, ice crystals, turtle shells etc.
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Heptagon- Heptagon is what we see of a figure with seven straight sides, essentially having an equal length. E.g., serving plate, antique coin, covers for a cookie bin etc.
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Trapezoid- A Four-sided geometric figure that has only one pair of parallel sides. E.g. a pyramid with a cut-off top, a popcorn can.
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Crescent- A curved sickle shape is tapered to a point. E.g., the moon during certain periods, curved shapes on the national flags of countries like Turkey and Pakistan.
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Prism- A 3-dimensional figure where one pair of opposite sides of similar shape, linked by straight, parallel lines/sides. E.g., skyscraper buildings, birthday presents, aquariums and notebooks etc.
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Pyramid- A 3-dimensional geometric figure with one flat side and edges appearing to all meet together at a point. E.g., Toblerone chocolate, the Great Pyramid of Giza etc.
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List of 2D & 3D Shapes
2D Shapes |
|
Triangle |
Sphere |
semicircle |
Cone |
square |
Cylinder |
circle |
Cube |
Rectangle |
Cuboid |
parallelogram |
Prism |
rhombus |
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Trapezium |
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kite |
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All the polygons ( For example Pentagon hexagon…) |
Difference between 2D Shapes & 3D Shapes
2D Shape |
3D Shape |
The full form is a two-dimensional shape |
The full form is the three-dimensional shape |
2D shapes only have two parameters that are length and height |
3D shapes have three parameters that are length, height and width |
There are two axes associated with 2D shapes which are the x-axis and y-axis |
Four 3D shapes three Axes are involved that is x-axis, y-axis and Z axis |
The 2D shape is a flat figure |
The 3D shape is a solid figure |
2D shapes do not have any face |
3D shapes have faces |
Any edge in 2D shape has two lines |
Any edge in 3D shape has three lines |
Shapes are used to represent a simple view of the earth |
3D Shapes help to present the architectural view of the object |
2D shape all the edges are visible |
In 3D shapes, some edges are hidden |
Can be explained easily |
Due to its invisibility 3D shape cannot be explained easily |
2D shapes are easy to draw |
The detailing becomes difficult for drawing 3D shapes |
Examples of 2D shape our triangle, square and rectangle |
Examples of 3D shapes are cube, cuboid and cylinder |
Properties
Property |
Square |
Triangle |
Rectangle |
Parallelogram |
Rhombus |
Angles |
Each angle is equal to 90o |
For an equilateral triangle, each angle is equal to 60o |
Each angle is equal to 90o |
Opposite angles are equal |
Two pairs of opposite angles are equal |
Sides |
All four sides are equal and two pairs of opposite sides are parallel to each other |
Depending upon the type the length varies |
two pairs of opposite sides are parallel to each other |
Sides are equal and parallel to each other |
All four sides are equal and two pairs of opposite sides are parallel to each other |
Congruence of Diagonals |
Yes |
– |
Yes |
No |
No |
Do Diagonals Bisect Each Other? |
Yes |
– |
Yes |
Yes |
Yes |
Is Diagonal perpendicular to each other? |
Yes |
– |
No |
No |
Yes |
Perimeter |
4l (l= length of side) |
a+b+c (a, b,c are sides of triangle) |
2(l +b) where l is length and b is the breadth of a rectangle |
A+b+c+d where a, b, c, d are the length of sides of a parallelogram |
4l (l= length of side) |
Area |
L2 where L is the length of the side |
½ b x h where b and h are base and height of a triangle |
L x b where l & b are length and breadth of a rectangle |
b x h where b and h are base and height of a parallelogram |
½ d1 x d2 where d1 and d2 are the lengths of diagonals of the rhombus |
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