Type of shape in maths
Shapes – Definition with Examples
What are Shapes?
In geometry, a shape can be defined as the form of an object or its outline, outer boundary or outer surface.
Everything we see in the world around us has a shape. We can find different basic shapes such as the two-dimensional square, rectangle, and oval or the three-dimensional rectangular prism, cylinder, and sphere in the objects we see around us. These geometric shapes appear in objects we see as credit cards, bills and coins, finger rings, photo frames, dart boards, huts, windows, magician’s wands, tall buildings, flower pots, toy trains, and balloons.
Different Types of Shapes
Shapes can be classified into open and closed shapes.
| In geometry, an open shape can be defined as a shape or figure whose line segments and/or curves do not meet. They do not start and end at the same point. | In geometry, a closed shape can be defined as an enclosed shape or figure whose line segments and/or curves are connected or meet. |
Closed geometric shapes can further be put into two broad categories, namely two-dimensional and three-dimensional shapes.
| The 2-Dimensional shape is flat. | A 3-Dimensional Shape is a solid shape. |
| It has two dimensions, that is, length and width. | It has two dimensions, that is, length, width, and depth. |
Here’s a list of 2-D or two-dimensional shapes with their names and pictures:
| Two-Dimensional Geometric Shapes |
Here’s a list of 3-D or three-dimensional shapes with their names and pictures:
| Three-Dimensional Geometric Shapes |
The color, overall size, and orientation called the non-defining attributes of a two-dimensional or three-dimensional shape do not define or affect the shape in any way. These attributes can change without any effect on the shape.
On the other hand, defining attributes such as the number of sides (parallel or non-parallel, straight or curved), vertices, edges, and faces of a shape, whether the shape is open or closed, and the angle measures determine the shape of a two-dimensional or three-dimensional object. Any change in these defining attributes will change the shape.
Solved Examples on Shapes
Example 1: Name the shapes.
- A polygon with 6 sides.
- Outline of a door.
- When you fold square corner to corner.
- A square and a triangle on top of it.
Solution:
- Hexagon
- Rectangle or quadrilateral
- Triangle
- Pentagon
Example 2: Classify the given letters as open shape or closed shape.
C, D, L, M, O, S, U, V, Z
Solution:
Open shape: C, L, M, S, U, V, Z
Closed shape: D, O
Example 3: Identify the solid shape of given objects.
- Globe
- Book
- Cold drink can
- Dice
Solution:
- Sphere
- Cuboid
- Cylinder
- Cube
Example 4: Why is the crescent-shaped moon not a polygon?
Solution:
Crescent shape moon is not a polygon as it has curved lines.
Practice Problems
1
What is 8-sided polygon known as?
hexagon
heptagon
octagon
quadrilateral
Correct answer is: octagon
A polygon with 8 sides is known as octagon.
2
How many dimensions does a solid shape have?
1
2
3
depends on the shape
Correct answer is: 3
All solid shapes are 3-dimensional shapes.
3
Which of the following statements is incorrect?
closed shapes can have only straight sides.
closed shapes have definite area.
start and end point of a closed shape are the same.
start and end point of a open shape are the different.
Correct answer is: closed shapes can have only straight sides.
Closed shapes are shapes whose start and end points are the same. It is not necessary that it is formed by only straight sides.
Shapes- Definition, Types, List, Examples
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The shape can be defined as the boundary or outline of an object. It is the surface we see and does not depend on the size or the color of the object. Everything around us has a different shape, such as the square, rectangle, or three-dimensional sphere. Have you seen the model of the Earth called the globe? What is the shape of this globe? Have you noticed the shape of a pizza? It is round in shape. If we cut out a slice from the pizza, the slice gets a triangular shape. Let us learn all about shapes, types of shapes, and geometric shapes.
1. |
What are Shapes? |
| 2. | Types of Shapes |
| 3. | List of Shapes |
| 4. | FAQs on Shapes |
What are Shapes?
Shapes define the boundary of an object and can be differentiated in many ways based on their properties. These shapes are closed by a boundary which is made by combining the curves, points, and line segments. Each shape has a name depending upon the structure. Few shapes are circle, square, rectangle, triangle, and so on.
Types of Shapes
Shapes can be classified into various categories. Before classifying shapes further in separate structures the basis of each shape depends on the following classification:
- Open Shapes: Open shapes are not continuous and are made up of line segments or curves which do not meet. Letter C is an example of an open shape.
- Closed Shapes: Closed shapes can be traced without any break. They start and end in the same place. Letter D is an example of a closed shape.
Further, each shape is classified on the basis of dimensions it has. In this section, we will discuss the two major types of shapes:
- Two-dimensional (2D): 2D shapes, as the name suggests, have only two of these measurements, i.e., length and breadth.
- Three-dimensional (3D) shapes: 3D shapes have a length, a width, and a height. You can learn more about it here.
A square is a 2D shape, whereas, a cube is a 3D shape.
List of Shapes
We know that shapes are made of straight lines or curved lines and they can be open or closed. Lines are defined as a collection of points. In other words, many points are put together to form a line. They may form a straight line or a curved line.
Shapes are closed shapes that are created by joining lines together. Closed shapes made of four straight lines are called quadrilateral shapes. Given Below is the list of shapes with real-world examples.
- Circle: A circle is a closed shape. It is categorized as a two-dimensional geometric shape that is round in structure. It does not have any lines or corners. For example, the wheel of a vehicle, pizza base, dartboard.
- Oval: An oval is an elongated shape slightly similar to a circle. It has no straight lines or corners. For example, the number zero (0).
- Square: A square is a closed 2-D shape that is formed by four sides. The length of each side is equal in measurement. For example, a chessboard and a carrom board.
- Triangle: A triangle is a shape with three sides and is categorized as a two-dimensional geometric shape. For example, the shape of tangy nachos, one slice of cheese burst pizza.
- Rectangle: A rectangle has four sides.
It is a two-dimensional geometric shape in which the length of the opposite sides is equal. For example, laptop screen, touch screen mobile phones etc. - Polygons: A polygon is a closed two-dimensional figure with three or more straight lines. For example, windows, doors.
- Cube: A cube is a closed three-dimensional geometric shape. It is made up of six squares. It has six faces. For example, a Rubik's cube, a ludo dice, an ice cube.
- Cuboid: A cuboid is another three-dimensional shape that is formed using rectangles. For example, a duster, a book, a pencil box.
- Sphere: A sphere is a solid shape that is similar to a ball. It is a closed three-dimensional shape formed using a circular base. For example, football, basketball, etc.
- Cylinder: A cylinder is a solid shape that has two flat ends of circular formation. It is a three-dimensional figure which is formed by folding a rectangle. For example, coldrink cans, pool noodles, water bottles.
- Cone: A cone is a solid three-dimensional geometric shape with a flat base. The base is circular in shape. It has a pointed edge at the top called the apex. For example, ice-cream cone, clown hat, etc.
☛Related Articles
Check out the following articles to learn more about different shapes in detail.
- Plane Shapes
- Closed Shapes
- 2-D Shapes
- 3-D Shapes
- Geometric Shapes
- Shapes Worksheets
Shapes Examples
-
Example 1: Solve the following riddles and write the name of the shapes.
a) I have three sides and a complete plane surface. Who am I?
b) I am a closed 3D shape formed with six squares. Who am I?Solution:
a) Triangle is a plane 2D shape with three sides.
b) Cube is a closed 3D shape with 6 squares. -
Example 2: Eva is holding a gaming gadget.
Its screen has 4 sides. Can you name the shape of the gadget screen?Solution: Since Eva has a gaming gadget with specifically four sides. It could be a mobile phone screen or a tablet screen. Hence the shape of a gadget screen is rectangular.
-
Example 3: Name two letters that are perfect examples of a closed shape and an open shape.
Solution: Letter O is a perfect example of a closed shape. It is round in shape hence it is also an example of a circle.
Letter U is an open shape. It is open at the other end.
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Practice Questions on Shapes
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FAQs on Shapes
What are Shapes in Geometry?
Shapes are also known as geometric shapes and figures made up of fixed lines or curves.
Shapes are categorized as closed shapes or open shapes. In our real-life, the example of shapes are, the Sun, Earth, Doors, Windows, Watch, Wall clocks, and so on.
What are the Different Types of Shapes?
The shapes have two major types:
- The two-dimensional shapes
- The three-dimensional shapes
What are Two-Dimensional Shapes?
A 2D shape is also written as a two-dimensional shape is a shape that has length and width but no depth. Examples of two-dimensional shapes are Circle, square, rectangle, triangles.
What are Three-Dimensional Geometric Shapes?
In geometry, a three-dimensional shape is a solid shape that has three dimensions, length, width, and height. We generally write it as 3D- shapes. For example, cylinder, sphere, cuboid.
Write the List of Shapes.
There are various shapes categorized on the basis of their dimensions. Given below is the list with one real-world example.
List of 2D geometric shapes:
- Triangle: traffic signboards
- Square: chessboard
- Rectangle: UNO game cards
- Circle: dinner plates
- Oval: Number 0 (zero).
List of 3D geometric shapes:
- Cube: ice cubes
- Cuboid: bricks
- Cylinder: Cold drinks straws
- Sphere: oranges
- Hemisphere: bowls
- Cone: birthday party caps
Why are Shapes Important for Kids?
Shapes help children develop the understanding of identifying visual information about structures revolving around them. It also helps kids in building navigation skills by easily comparing various shapes.
What is the Use of Geometric Shapes?
Shapes refresh our visual senses in an interesting way. They developed and generate a logical sense of any piece of work in our everyday life. Things around us need a definite shape to recognize and to maintain the balance in nature.
How Many Dimensions Are There in a 2D Shape?
There are only two dimensions in a 2D shape that is a length and breadth.
How Many Dimensions Are There in a 3D Shape?
There are only three dimensions in a 3D shape that is a length, width, and height.
How do you Identify Shapes?
A great way to identify a shape is by knowing the number of sides and points in it. For example, a triangle has 3 sides and 3 points. So, we can easily identify it as a triangle.
☛ Also Check:
- Solid Shapes Worksheets
- 2d and 3d Shapes Worksheets
Is Square a Closed Shape?
Yes, a square is a closed shape as all the sides of the square are connected at all the vertices.
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Shapes Worksheets
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How to determine the type of female figure?
As Hillary Kerr rightly said, fashion trends are guided by standards that are rarely found in real life. Therefore, you should not be upset by an unfavorable comparison with photo models, it is better, having studied the features of your figure, to determine its type and, taking into account individual characteristics, choose a wardrobe.
Calculation technique by fashion expert Bradley Bayou
Creating a calculation technique for determining body types is a major breakthrough in revealing the secrets of beauty and fashion.
Bradley Bayou in The Science of Sexuality lists 48 female body types. If we take his arguments into service, it turns out that the main thing in appearance is not the number of kilograms, but their distribution.
Consider the four basic body types according to the formulas given by Bradley Bayou. Each woman in relation to these data will be able to determine her type of figure, and, guided by the advice of experts, determine the silhouette that is suitable for herself.
Measurement of parameters: step one
To determine the body type, we need a measuring tape, a piece of paper, a pencil and an assistant.
Shoulder width
Shoulder width is measured from the extreme point on the left shoulder to the same point on the right. The assistant stands behind and stretches the tape from the left to the right shoulder. The tape is positioned horizontally without undue stress. The obtained values are recorded.
Waist circumference
To determine the waist size, it is convenient to tie a thin belt around the narrowest point above the navel.
When we have marked it in this way, we stretch the centimeter tape around the belt. We write down the numbers.
Chest circumference
The volume is measured by placing the tape on the most convex parts of the chest and back. The tape is located freely, the chest is not squeezed. We write the data.
Hip circumference
Tape runs from the bottom of the thigh, along the largest bulge of the abdomen, and wraps around the protruding parts of the buttocks, returning to the thigh. We fix the numbers.
Calculation of body type: step two
The figures obtained will help in determining the body type. There are figures in which certain parts of the body are excessively or less developed than others. For example, prominent or vice versa sunken chest, narrow or wide shoulders. In this case, in order to get the correct conclusions when making calculations, it is recommended to swap these values.
If the violation of the proportions between the width of the shoulders and the girth of the chest leads to the fact that the physique simultaneously falls under two definitions: a pear and an hourglass, then they try on clothing models for the first and second types, choosing the one that best suits you.
Now consider the four main types of figure. From the description, try to determine which category your body belongs to, and then test your assumptions using the Bayou equations.
Inverted Triangle
Broad shoulders, large breasts - narrow hips: a figure that schematically resembles and is designated as an inverted triangle.
Mathematics will help you to finally establish your opinion that your figure belongs to this type.
Example: shoulder width - 91.5 cm, hip circumference - 87 cm = inverted triangle.
Clothing Tips
An inverted triangle silhouette should visually balance the top and bottom. Fitted items with flared bottoms are the main style for women with this body shape.
Rectangle
Shoulders, bust, hips approximately equal. The waist is expressed weakly, indistinctly.
Formula: waist > shoulder width/bust by 25%.
The difference between the size of the shoulders, chest, hips within 5%.
To derive our own formula, we take the largest value: the width of the shoulders, denote it as X, denote the other dimensions as Y, Z.
Multiply X by 0.95. If the resulting product is less than Y and Z, the ratio between your parameters corresponds to 5%.
Example: shoulder width 91.5 cm, waist circumference 68 cm = rectangle.
Clothing tips
Skirts with frills, bows, pockets. Things that optically enlarge the lower part of the body.
Triangle (pear)
Hips wider than shoulders, well defined waist.
The difference between hips, shoulders and bust is more than 5%.
Shoulders - 91.5 cm, hips not less than 96 cm = triangle (pear).
Clothing tips
Fitted dress with pleated skirt. The dress hides wide hips, emphasizes the waist.
Hourglass
The upper and lower parts of the body protrude above a thin waist: chest and hip circumferences are almost equal.
The waist is smaller than the shoulders and chest by about 25%.
Parameters: shoulder width and hip circumference are within 5% of each other.
To calculate the proportions, we take the largest value of the two parameters, denote it as X.
The smallest one is called Y.
If, with a thin waist, the circumference of the chest and hips is approximately the same, then the figure fits this definition.
For example: shoulder width and hips - 91.5 cm, waist - no more than 68.6 cm, we get an "hourglass".
Clothing tips
The garment accentuates the curve of the figure, emphasizing the waist. Top and bottom are balanced with a minimum of detail.
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Types of female figures. Classification. - Lovely Moms - Learn
Hello Lovely Moms :)
Let's start our month of body types. Such plans. First, I will talk about one system for typing female figures, we will try to figure out which of us belongs to which type. Then each type of figure will be considered in detail from a practical point of view of interest to everyone, i.
e. Recommendations on cut and fabrics will be given. And after the examples, some techniques for visual correction of specific individual characteristics will be considered. And any questions that arise in the context of these topics can and should be discussed in the comments.
Coming to the store, we usually encounter two global problems. The first is the size group, the second is whether the thing suits you personally. If the first problem is solved by fitting (on your own or in an atelier) a specific thing to a specific figure, then in order to solve the second problem, you need to know exactly your type of figure , because. it is that determines the choice of style and fabric , from which the thing is made.
There are various classifications of types of female figures, in this post I want to start looking at one of them in detail.
It must be said that in general, the classification of figure types in isolation from a specific case cannot explain the whole variety of individual features of a figure, but it will help to navigate in the choice of the main elements of cut, finish and suitable materials .
And visual correction techniques help cope with individual features of figure . Individual features of the figure include tall/short stature, wide/narrow shoulders, long/short limbs, long/short neck, excess/lack of weight, excess/lack of volume, for example, breasts, asymmetry, etc.
Another important psychological point is the names of types. You must understand that the name is just a name, theoretically, you can find synonyms, but there is no guarantee that someone else will not like the new word. Therefore, one should not take the meanings of words straightforwardly, since we are not doing mathematics now. There is a historical anecdote about this. There was such a Russian mathematician Pafnuty Lvovich Chebyshev. Once, clothing manufacturers invited him to their congress, where they discussed the problems of rational cutting of fabric (well, in order to minimize waste). And mathematicians differ from ordinary people in that they think in mathematical models, and allegedly Chebyshev began his report with the phrase: "Let's imagine that the human body is a ball" :)
Now to the point.
In women there are four types of figure according to the silhouette : straight, fitted, semi-fitted and rounded . Figure types are determined by waist-to-hip ratio , i.e. natural proportions of the skeleton . In any type of figure, there can be both small and large breasts - these will already be those very individual features. And if you lose or gain a little weight, your body type will remain, usually , unchanged (after all, the proportions of the skeleton remained the same), and the consequences of this weight loss or correction pass into the rank of individual characteristics.
Straight body type
figure type. The straight type is characterized by angular lines of the silhouette, the shoulders are always straight, often wide. The waist is either weakly expressed, or the chest is so low that the characteristic bend is not obtained. If you look at the figure in profile, then often the lumbar region is slightly expressed, i.
e. this type of figure may have slightly flat buttocks. Usually, if a person with this type of figure begins to gain weight, then the hips remain straight (that is, the notorious "riding breeches" does not threaten this type of figure), but the waist may suffer.
Most athletes have just this type of figure. There are also many representatives of this type among famous personalities, here are some of them: Anastasia Volochkova, Jacqueline Kennedy, Laima Vaikule, Princess Diana, Irina Khakamada.
Fitted figure type
The next type of figure - the opposite of a straight line - is called fitted. This is the most feminine and graceful type of figure. This type is very characteristic of a thin waist, while rounded hips. The difference between their volumes can be 30 cm or more. The silhouette consists of the most rounded lines. At the same time, the line of the shoulder is very soft, sloping, the shoulder girdle is not strongly developed. In profile, it can be seen that the lumbar region is sufficiently developed, the buttocks are convex, the leg goes to the knee, i.
e. there is no breeches. This type always has thin bones and a "chiseled" figure.
Christian Dior sang this type in his collections. Among famous personalities, representatives of the fitted type are, for example, Elizabeth Taylor, Marilyn Monroe, Lyudmila Gurchenko.
Semi-fitted type figures
This type of figure is in a sense a compromise between the first two. The semi-fitted type, as a rule, has a straight torso, can have straight shoulders, all lines are smooth, smooth, calm. The waistline is well defined. The hips are heavy and rounded, the difference between the waist and hips is from 25 to 30 cm. Most often, the lumbar region is well developed, and the buttocks are quite convex. Representatives of this type of figure often have an individual feature in the form of breeches.
This type of figure is quite common in Russia, and of the celebrities, the most prominent representatives are Sophia Loren, J. Lo.
Round body type
It can be congenital, but is usually associated with excess weight.
The characteristic features of this type are when broad sloping shoulders smoothly pass into a wide chest, the waist is absent, the pelvis is wide, the knees seem to hang over. The volume of the waist can even exceed the volume of the hips, and the entire silhouette tends to be a complete oval.
As a practical exercise, try to identify your body type and your individual characteristics. Look at yourself in the mirror in front, behind, in profile, while it is important to see yourself in full growth. Try to analyze your body and attribute yourself to one of the body types. It is not at all necessary that all the characteristics of a certain type would be found in you at once, which is why the words "usually", "often", "usually" were used in the wording. Note what are the individual features of your figure.
The correct determination of the type of figure is another (after determining the color type) an important step on the way to being loved and beautiful. And if you really want to be a fitted type, and the mirror stubbornly repeats "straight" or, God forbid, "round", then you should not argue with him! It will cost you more in every way.
