Line-of-symmetry-examples

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From Encyclopedia

symmetry

symmetry generally speaking, a balance or correspondence between various parts of an object; the term symmetry is used both in the arts and in the sciences. In art and design, it is often used in a somewhat loose sense, to mean a kind of balance in which the corresponding parts are not necessarily alike but only similar. A symmetrical design should produce a pleasing effect; if there is too close a correspondence, the effect may be monotonous. Ancient Greek architecture is particularly distinguished for its symmetry. In modern art, the Dutch artist M. C. Escher achieved a number of striking effects in his works exploring mathematical symmetry. A mathematical operation, or transformation, that results in the same figure as the original figure (or its mirror image) is called a symmetry operation. Such operations include reflection, rotation, double reflection, and translation. The set of all operations on a given figure that leave the figure unchanged constitutes the symmetry group for that figure. The symmetry groups of three-dimensional figures are of special interest because of their application in fields such as crystallography (see crystal ). In general, a symmetry operation on a figure is defined with respect to a given point (center of symmetry), line (axis of symmetry), or plane (plane of symmetry). In biology, symmetry is studied in the correspondences between different parts of a given organism, as between the left and right halves of the human body or between the various segments of a starfish (see symmetry, biological ). In physics, basic symmetries in nature underlie the various conservation laws . For example, the symmetry of space and time with respect to translation and rotation means that a given experiment should yield the same results regardless of where it is performed, what direction the equipment is pointing in, or when it is performed. These three symmetries can be shown to imply the laws of conservation of linear momentum, angular momentum, and energy, respectively. Bibliography: See G. E. Martin, Transformation Geometry (1987); B. Bunch, Reality's Mirror (1989); M. C. Escher, Escher on Escher (tr. 1989).


From Yahoo Answers

Question:Everytime I draw a shape I get 1, 2 or 4. Please help!

Answers:An equilateral triangle has exactly 3 lines of symmetry.

Question:a line of symmetry divides a figure into ____(1,2,3,4) congruent parts??????????????? THANKS!!!!!! SINCE YOU WERE THE ONLY ONE TO ANSWER QUICKLY I'LL GIVE YOU THE BEST ANSWER WHEN I CAN.........

Answers:2 congruent parts

Question:f(x)=-2x^2+2x+1 The x-coordinate of the vertex is______ The y-coordinate of the vertex is _____ The equation of the line of symmetry is x=_______ The maximum/minimum of f(x) is ________ The value f(1/2)=(3/2) is a. Manimum b. Maximum This is really confussing to me....can anybody help?

Answers:The x-coordinate of the vertex is_1/2_____ The y-coordinate of the vertex is _3/2____ The equation of the line of symmetry is x=____1/2___ The minimum of f(x) is ____-inf____ The value f(1/2)=(3/2) is b. Maximum


From Youtube

Application of Gauss's law to line symmetry (1)

Physics: Using Gauss's law to determine the electric field from a charge distribution with line symmetry. Determining the electric potential difference from a nonuniform electric field. This is a recording of a tutoring session, posted with the student's permission. These videos are offered on a "pay-what-you-like" basis. You can pay for the use of the videos at my website: www.freelance-teacher.com For printable documents containing the problem and the handout discussed in this video series, go to my website. For a list of all the available video series, arranged in suggested viewing order, go to my website. For a playlist containing all the videos in this series, click here: www.youtube.com (1) Using Gauss's law to determine the electric field inside the charge distribution (2) Continued. Determining the electric field outside the charge distribution (3) Continued (4) Determining the electric potential difference from a nonuniform electric field (5) Continued. Conservation of energy (6) Continued

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A Beautiful Symmetry

This video explains the beauty of a universal symmetry that we see throughout nature and the Universe. In this theory time is formed continuously by the emission and absorption of light (EMR) from one atom to another continuously forming the broken symmetry and geometry of spacetime. I am only an artist but this can explain the beauty of mathematical patterns that we see in the Universe. The atoms will bond together forming their own spacetime symmetry and geometry. This will form the beauty of the broken symmetry that we see all around us. In this theory Time moves at the speed of light and energy and mass slow it down to form their own spacetime geometry. These spacetime are on every level of creation from the Planck constant to every day object to clusters of galaxies. Even the atoms of the observer have created their own spacetime geometry this can be seen as mirror or line symmetry in the physical shape of the observer. The observer will feel this line symmetry as the arrow of time or as the time line from the past into the future. TheUncertainty Principle of Quantum physics is the same uncertainty the observer will have with any future event. Any help in the promotion of this theory on You Tube or in the scientific community will be gratefully welcomed. www.quantumartandpoetry.blogspot.com

Symmetry Song

Symmetry o symmetry, with reflection and rotation, How can you be so nifty, yet cause so much frustration? Across line N or M or P, you sometimes confuse me. Oh symmetry you turn my whole world upside down and around and around. Take shapes or lines and make A and B prime Oh symmetry youre so divine. Its in the alphabet and butterflies, But if we were symmetrical wouldnt we die? Oh mirror mirror, we look for perfection, but arent you just a line of reflection??? Symmetry you turn my whole world upside down and around and around. Take shapes or lines and make A and B prime Oh symmetry youre so divine.


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