4A 7-2 slides: Intro to Symmetry
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This document discusses symmetry and how to identify symmetric figures. It defines symmetry as figures that can be folded along a line and have mirror-image halves. Examples of symmetric figures include those that can be divided into two equal parts that are mirror images of each other when folded along the line of symmetry. The document encourages identifying lines of symmetry in everyday objects and creating both symmetric and asymmetric shapes.
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Symmetry
Symmetry is discussed in the document, including line symmetry and mirror reflection. Line symmetry occurs when a figure can be folded along a line so that the two halves are identical mirror images. Mirror reflection produces identical images that are left-right reversals. Figures can have no lines of symmetry, one line, two lines, or multiple lines depending on their shape. Symmetry is important in areas like art, architecture, and design as it produces pleasing proportional balances.
Line and mirror symmetry
Line and mirror symmetry discusses different types of symmetry including line symmetry, mirror symmetry, and rotational symmetry. Line symmetry means a shape is divided exactly in half by a line so that both halves match. Mirror symmetry is also known as line symmetry, where a shape can be divided by a line so one half is the mirror image of the other. Rotational symmetry refers to a shape appearing the same when rotated around a point. Examples and diagrams are provided to illustrate these concepts of symmetry.
Symmetry in mathematics
This presentation discusses different types of symmetry. It defines symmetry as identical parts facing each other or around an axis. There are two main types of symmetry discussed - line symmetry, where a figure does not change upon reflection, and rotational symmetry, where an object looks the same after rotation. Examples are given of different geometric shapes and their number of lines of symmetry, ranging from 1 line to many lines to no lines of symmetry. Mirror images are also introduced as reflected duplications that appear identical but reversed.
Line symmetry
This document discusses line symmetry in various contexts. It explains that an object has line symmetry if it can be divided into two mirror image halves by a line. Letters of the alphabet, road signs, monuments, and flags are provided as examples of objects that do or do not exhibit line symmetry. Regular polygons from triangles to octagons are also described as having a specific number of lines of symmetry corresponding to their number of sides and internal angles.
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The document discusses different types of balance in design including radial symmetry, exact symmetry, axial symmetry, symmetrical balance, and occult balance. Radial symmetry involves balance rotating around a center point, while exact symmetry is a mirror image or exactly repeated design. Axial symmetry has two opposing repeats on each side of an axis, and asymmetrical symmetry uses counterbalanced contrasts like dull and bright colors with strong variety in sizes. Occult balance involves movement in an angular or curved direction.
Symmetry - Rotational and Reflection
Symmetry refers to self-similarity across a dividing line or axis of rotation. There are two main types of symmetry: reflective symmetry, where a shape is identical to its mirror image across a bisecting line, and rotational symmetry, where a shape looks the same when rotated partway around a center point. A shape has reflective symmetry if its two halves are exactly matching mirror images, as seen when a heart shape is cut out from folded paper with the two half-hearts forming a whole heart.
1 34 Symmetry
Today's lesson focused on symmetry and included defining key terms like line of symmetry, rotational symmetry, and diagonal. Students learned that a shape has a line of symmetry if it can be folded into two congruent parts and may have more than one line of symmetry. The lesson involved identifying lines of symmetry in various figures, discussing rotational symmetry and the number of rotations for different shapes to return to their original position, and drawing diagonals on shapes.
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This document provides an overview of parallel lines, angles in triangles, and special triangles. It discusses key concepts like vertically opposite angles forming an X shape, corresponding angles forming an F shape, and alternate angles forming a Z shape. It also reviews that angles in a triangle add up to 180 degrees and presents examples of special triangles like right, isosceles, and equilateral triangles. Students are instructed to practice identifying and highlighting examples of Xs, Fs, and Zs in groups using different colored highlighters.
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Symmetry
Symmetry is discussed in the document, including line symmetry and mirror reflection. Line symmetry occurs when a figure can be folded along a line so that the two halves are identical mirror images. Mirror reflection produces identical images that are left-right reversals. Figures can have no lines of symmetry, one line, two lines, or multiple lines depending on their shape. Symmetry is important in areas like art, architecture, and design as it produces pleasing proportional balances.
Line and mirror symmetry
Line and mirror symmetry discusses different types of symmetry including line symmetry, mirror symmetry, and rotational symmetry. Line symmetry means a shape is divided exactly in half by a line so that both halves match. Mirror symmetry is also known as line symmetry, where a shape can be divided by a line so one half is the mirror image of the other. Rotational symmetry refers to a shape appearing the same when rotated around a point. Examples and diagrams are provided to illustrate these concepts of symmetry.
Symmetry in mathematics
This presentation discusses different types of symmetry. It defines symmetry as identical parts facing each other or around an axis. There are two main types of symmetry discussed - line symmetry, where a figure does not change upon reflection, and rotational symmetry, where an object looks the same after rotation. Examples are given of different geometric shapes and their number of lines of symmetry, ranging from 1 line to many lines to no lines of symmetry. Mirror images are also introduced as reflected duplications that appear identical but reversed.
Line symmetry
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The document discusses different types of balance in design including radial symmetry, exact symmetry, axial symmetry, symmetrical balance, and occult balance. Radial symmetry involves balance rotating around a center point, while exact symmetry is a mirror image or exactly repeated design. Axial symmetry has two opposing repeats on each side of an axis, and asymmetrical symmetry uses counterbalanced contrasts like dull and bright colors with strong variety in sizes. Occult balance involves movement in an angular or curved direction.
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Symmetry refers to self-similarity across a dividing line or axis of rotation. There are two main types of symmetry: reflective symmetry, where a shape is identical to its mirror image across a bisecting line, and rotational symmetry, where a shape looks the same when rotated partway around a center point. A shape has reflective symmetry if its two halves are exactly matching mirror images, as seen when a heart shape is cut out from folded paper with the two half-hearts forming a whole heart.
1 34 Symmetry
Today's lesson focused on symmetry and included defining key terms like line of symmetry, rotational symmetry, and diagonal. Students learned that a shape has a line of symmetry if it can be folded into two congruent parts and may have more than one line of symmetry. The lesson involved identifying lines of symmetry in various figures, discussing rotational symmetry and the number of rotations for different shapes to return to their original position, and drawing diagonals on shapes.
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SYMMETRY
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Line of symmetry, symmetrical figures, horizontal , vertical and diagonal lines of symmetry, figures having two or more lines of symmetry examples, symmetry in geometrical figures and alphabets
Symmetry
Line symmetry exists when one half of a shape is the mirror image of the other half. Many common shapes and structures exhibit line symmetry, including letters of the alphabet, road signs, polygons, and architectural landmarks like the Taj Mahal. The document explores line symmetry through examples, activities identifying symmetrical shapes, and explanations of what qualifies as a line of symmetry.
Symmetry
Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement")[1] in everyday language refers to a sense of harmonious and beautiful proportion and balance.[2][3][a] In mathematics, "symmetry" has a more precise definition, that an object is invariant to any of various transformations; including reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are related, so they are here discussed together.
Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, theoretic models, language, music and even knowledge itself.[4][b]
This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and in the arts, covering architecture, art and music.
The opposite of symmetry is asymmetry.
In geometry[edit]
Main article: Symmetry (geometry)
The triskelion has 3-fold rotational symmetry.
A geometric shape or object is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion.[5] This means that an object is symmetric if there is a transformation that moves individual pieces of the object but doesn't change the overall shape. The type of symmetry is determined by the way the pieces are organized, or by the type of transformation:
An object has reflectional symmetry (line or mirror symmetry) if there is a line going through it which divides it into two pieces which are mirror images of each other.[6]
An object has rotational symmetry if the object can be rotated about a fixed point without changing the overall shape.[7]
An object has translational symmetry if it can be translated without changing its overall shape.[8]
An object has helical symmetry if it can be simultaneously translated and rotated in three-dimensional space along a line known as a screw axis.[9]
An object has scale symmetry if it does not change shape when it is expanded or contracted.[10] Fractals also exhibit a form of scale symmetry, where small portions of the fractal are similar in shape to large portions.[11]
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There are several basic types of symmetry including line symmetry, rotational symmetry, translational symmetry, reflective symmetry, and glide reflective symmetry. Symmetry can be seen in art, nature, mathematics and other areas. The document discusses these types of symmetries and provides examples like kaleidoscopes, wheels, and shapes to illustrate symmetrical concepts. Exercises are suggested to help understand symmetry further such as folding paper or moving shapes on a plane.
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Symmetry is present in many areas of everyday life such as art, architecture, textiles, car manufacturing, and rangoli. There are three main types of symmetry: line symmetry, rotational symmetry, and mirror reflection. Line symmetry occurs when a line can be drawn to divide a figure into two identical halves. The number of lines of symmetry an object has can be zero, one, two, or multiple. Rotational symmetry is when an object looks the same after being rotated around a fixed center point. The angle of rotation and number of rotations before the object looks the same again determine its rotational symmetry.
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This document discusses the concept of symmetry by showing how shapes can be cut into two equal parts along a line. It demonstrates that a line of symmetry exists when a shape can be folded along that line, with the two halves being identical mirror images. The document asks students to identify lines of symmetry for different shapes, and defines symmetry as dividing a solid shape such that one part is the mirror image of the other.
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This document discusses different types of symmetry, including line symmetry and rotational symmetry. It provides examples of line symmetry in letters of the alphabet and examples of rotational symmetry in shapes like triangles, squares, and pentagons. It also discusses symmetry in architecture, flags, and natural phenomena. Symmetry is a fundamental organizing principle in nature and art that involves preserving certain properties when an object is transformed in some way.
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Line symmetry is the most common type of symmetry where an object can be folded along a central line so that one half is an exact mirror image of the other. Examples of objects that exhibit line symmetry include many creatures, plants, human faces, bodies, letters of the alphabet, and artworks which can be folded along a central line to form two congruent mirror images. Line symmetry is found throughout nature and in human-made objects.
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This PowerPoint presentation introduces the concept of line symmetry through examples found in nature, architecture, art, and everyday objects. It explains that line symmetry exists when one half of a shape is the mirror image of the other half. Examples discussed include butterflies, human faces and bodies, shells on the beach, underwater creatures like crabs and starfish, animal shapes, reflections in water, and architectural structures like the Taj Mahal. The presentation also examines line symmetry in 2D shapes like triangles, squares, pentagons, hexagons, and octagons.
Symmetry greta
This is a PowerPoint I prepared during my Teaching Practice on Symmetry. Not all slides are original !! It covers the whole symmetry topic :) Hope you find it useful !
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This PowerPoint lesson introduces the concept of lines of symmetry to visual, audio, and kinesthetic learners. It defines symmetrical and asymmetrical shapes, noting that some shapes can have multiple lines of symmetry. Examples are provided of symmetrical shapes like squares and rhombus, as well as asymmetrical shapes like hearts. Students participate in hands-on activities to identify symmetrical and asymmetrical objects and draw complementary shapes by folding paper.
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This document discusses different types of symmetry found in shapes, letters, numbers, objects, and designs. It provides examples of rotational symmetry, including some letters that have order 2 rotational symmetry like H, I, O, and Z. It also gives examples of shapes, flags, road signs, buildings and monuments that demonstrate various kinds of line and rotational symmetry.
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The triskelion has 3-fold rotational symmetry.
A geometric shape or object is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion.[5] This means that an object is symmetric if there is a transformation that moves individual pieces of the object but doesn't change the overall shape. The type of symmetry is determined by the way the pieces are organized, or by the type of transformation:
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An object has helical symmetry if it can be simultaneously translated and rotated in three-dimensional space along a line known as a screw axis.[9]
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There are several basic types of symmetry including line symmetry, rotational symmetry, translational symmetry, reflective symmetry, and glide reflective symmetry. Symmetry can be seen in art, nature, mathematics and other areas. The document discusses these types of symmetries and provides examples like kaleidoscopes, wheels, and shapes to illustrate symmetrical concepts. Exercises are suggested to help understand symmetry further such as folding paper or moving shapes on a plane.
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Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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Walmart Business+ and Spark Good for Nonprofits.pdf
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The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
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Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
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4A 7-2 slides: Intro to Symmetry
- 2. WALT • What a symmetric figure is • How to identify a line of symmetry • State what happens when you fold a symmetric object about its line of symmetry
- 3. These are symmetric figures
- 4. What you see are lines of symmetry
- 5. The halves along the line are mirror images of each other
- 6. I like to fold it, fold it • Your worksheet is rectangular in shape. • Fold it into two symmetric halves.
- 7. CAN YOU IMAGINE IT?
- 10. Which figures are symmetric? a b c d e f
- 11. Ans: a, d, e a b c d e f
- 12. Ma MPAH WB Pg 111: Which figures are symmetric? Ans: B, D, E, F, G, H
- 13. Ma MPAH WB Pg 112: Which figures are symmetric? Ans: A, C, D
- 15. • In your pairs, make a list of at least 10 examples of everyday symmetrical objects • Pick 5 and draw them along with their lines of symmetry
- 16. Let’s hear from some of you
- 17. Now it’s time to…
- 19. The dotted lines divide these figures into equal halves, but they are not lines of symmetry. Can you explain why? The two parts do not fit exactly when folded along the dotted line.
- 20. In which figure(s) is the dotted line a line of symmetry? a b c d e
- 21. Ans: b, d, e a b c d e
- 22. Now that we totally understand what symmetry is, we can MAKE a piece of art that is symmetric
- 23. Time for an activity
- 24. In your PAIRS • Make one SYMMETRIC shape • Make one NON-SYMMETRIC shape Followed by: MPAH Ma WB Pg 113-114