All patterns having symmetry are called symmetric patterns. It emphasises the size, shape, and design of buildings. ACCEDED, CABBAGE, BAGGAGE, DEFACED, EFFACED, and FEEDBAG are seven-letter words which can be played on a musical instrument, that is to say they contain only letters in the range A-G. CABBAGED, at eight letters, is the longest such word. (There are no vowels in the bottom row.). Lowercase h loses both lines of symmetry, as it no longer produces a mirrored image on either invisible axis. 5 Which alphabet has horizontal symmetry line? Whats a word that has a line of symmetry? For example, we can split the following square shape across the corners to form two identical halves. Glide symmetry: Glide symmetry is the combination of both translation and reflection transformations. 3 has one horizontal line of symmetry if we draw the top and bottom both equal size. Another symmetry that children sometimes use in their Pattern Block designs is Rotational Symmetry. A figure has rotational symmetry if some rotation (other than a full 360 turn) produces the same figure. Diagonal Line of Symmetry. A letter A will (usually) have a vertical line going through its center where the A is the . This line may also be called a sleeping straight line that parts an image or shape into identical halves. Figures with one line of symmetry are symmetrical only about one axis. The words most likely to be misspelled (ratio of incorrect to correct spelling) according to a study of Usenet traffic some years ago were DUMBELL, OCCURRENCE, MEMENTO, FRUSTUM, COLLECTIBLE, AMATEUR, DAIQUIRI, PASTIME, ACCIDENTALLY, PLAYWRIGHT, EMBARRASS, ACQUIT, HARASS, and PRONUNCIATION. This center line or axis can be located either vertically or horizontally. Others include MOM, WOW, AHA, AHA, AIA, AMA, AVA, AWA, HAH, HOH, HUH, MAM, MIM, MUM, OHO, OXO, TAT, TIT, TOT, TUT, UTU, VAV, and WAW! He has a rectangular photograph made of dimensions 10 inches (width) by 14 inches (length) as a gift for his parents. The algorithm is the same for each matrix. These designs are famous in India for their unique and symmetrical patterns. Watch the video below. Unfortunately, neither is HIGGLEHAGGLED nor GIBBLEGABBLED, also 13 letters each. The point O is the central point and the matching parts are in opposite directions. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. They will be vertically symmetrical. Explain that rotational symmetry, seen daily by the students when they look at flowers, domes, round grates and many other objects in their surroundings. Jeff is a senior graphic designer at Science World. A line of symmetry is one that divides a figure into two halves which are mirror images of each other. Therefore, it shows reflection symmetry. Vertical symmetry can be observed in the majority of simple shapes, like squares, some triangles, circles, hearts, hexagons and octagons. The star below has 5 lines of symmetry, five lines on which it can be folded so that both sides match perfectly. How do I choose between my boyfriend and my best friend? Lots of buildings and everyday objects use symmetry because it looks appealing to the human eye. Heres how it all works. The longest is NONSUPPORTS (11 letters), although if place names are allowed then the 13-letter words TUTTOQQORTOOQ (in Greenland) and ROSSOUWSPOORT (in South Africa) are valid. The same study showed the words most frequently misspelled (by gross count) to be: RECEIVE, A LOT, AMATEUR, SEPARATE, REALIZE, THEIR, DEFINITE, INDEPENDENT, WEIRD, EMBARRASS, ARGUMENT, NO ONE, ACQUIRE, ACCIDENTALLY, OCCURRENCE, COLLECTIBLE, RIDICULOUS, MANEUVER, LIAISON, GAUGE, ATHEIST, GRAMMAR, SUPERSEDE, KERNEL, and CONSENSUS. so the x of the vertex is -b/(2a) and the equation of the line of symmetry is x = -b/(2a) e.g. With two-dimensional shapes, you can find a line of symmetry by folding the image/object until both sides of the shape are completely aligned with one another. DRL-1934161 (Think Math+C), NSF Grant No. The other thing that is important to say is that the words horizontal and vertical don't just mean straight. In mathematics, horizontal symmetry is less common than vertical symmetry. The two concepts have nothing to do with one other. For this reason, it can also be observed in a multitude of tangible objects and settings, including buildings, architecture, art and furniture. Most looked-up and most misspelled Words When written in upper case, the word BID has horizontal symmetry, but when written in lower case it has vertical symmetry bid! Horizontal symmetry is a reflection across the horizontal axis. For example, different shapes like square, rectangle, circle are symmetric along their respective lines of symmetry. That means the axis here crosses across the shape to cut it into two equal parts. This means thatthe right side is a reflection of the left.Some vertically symmetrical words are: Science World | Alphabet Symmetry Template PDF. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Can your partner solvethe word without using a mirror? If both sides are symmetrical, your photo will look visually appealing. Find the Horizontal and Vertical Asymptotes of a rational function Learn how to find the vertical/horizontal asymptotes of a function. Remember vertical means from top to bottom. This means you can draw a mirror line down through the middle of each shape and divide it into two reflected halves. 2 Whats a word that has a line of symmetry? Join 425,000 subscribers and get a daily digest of news, geek trivia, and our feature articles. The longest words with vertical symmetry are OTTO, MAAM, and TOOT. Horizontal symmetry can be found in the letters B, C, D, E, H, I, K, O, and X. Others include MOM, WOW, AHA, AHA, AIA, AMA, AVA, AWA, HAH, HOH, HUH, MAM, MIM, MUM, OHO, OXO, TAT, TIT, TOT, TUT, UTU, VAV, and WAW! Notice that the A has a vertical line of symmetry, while the B, C, D, and E have a horizontal line of symmetry. Here is a brief summary video of horizontal lines: 5 Are there any words that are vertically symmetrical? The words most likely to be misspelled (ratio of incorrect to correct spelling) according to a study of Usenet traffic some years ago were DUMBELL, OCCURRENCE, MEMENTO, FRUSTUM, COLLECTIBLE, AMATEUR, DAIQUIRI, PASTIME, ACCIDENTALLY, PLAYWRIGHT, EMBARRASS, ACQUIT, HARASS, and PRONUNCIATION. The letters, N, Z, and S also share that property. These cookies ensure basic functionalities and security features of the website, anonymously. Both horizontal and vertical lines of symmetry occur in H, I and X. Which English letter has horizontal and vertical symmetry? Use a mirror to find the letters that have a horizontal axis of symmetry (letters that havethe same shape on top as on the bottom, like E, I and O). Horizontal Line of Symmetry. What is the shape of horizontally? For example, in general, human faces are identical on the left and right sides. DRL-1741792 (Math+C), and NSF Grant No. -1881 Cor Click to select your answer(s). Horizontal symmetry follows the same rules as vertical symmetry, only along a horizontal axis. Similarly, a regular pentagon when divided as shown in the image below, has one part symmetrical to the other. You also have the option to opt-out of these cookies. To see any real difference, try enabling the horizontal text option before inputting the text in your document. 2) Two perpendicular planes of reflection symmetry. From his chaotic workspace he draws in several different illustrative styles with thick outlines, bold colours and quirky-child like drawings. Symmetry is useful in language design because it allows speakers to recognize written words easily. 1 LoSOne Line of Symmetry Vertical lines of symmetry Horizontal lines of symmetry Diagonal lines of symmetry 6. Some horizontally symmetrical words are: CHEEK, BIKE, BOX, BOOK, HIDE, X-BOX Vertical symmetry is found in the letters A, H, I, M, O, T, U, V, W, X and Y. FICKLEHEADED and FIDDLEDEEDEE are the longest English words consisting only of letters in the first half of the alphabet, each being 12 letters long. Real-life examples of symmetry Reflection of trees in clear water and reflection of mountains in a lake. Now, compare each element of i-th row and j-th row. So, the slope of a vertical line is m = (y 2 - y 1) / (x - x) = (y 2 - y 1) / 0 which is not defined as . Remember vertical means from top to. His illustration work has been published in the Walrus, The National Post, Readers Digest and Chickadee Magazine. Try to find symmetry in lowercase letters. 1 Which words have both vertical and horizontal symmetry? Which is the vertical line of symmetry in math? All of the letters in the words SOONISH (7 letters) and ONIONS (6 letters) independently have 180-degree rotational symmetry. Has the letter T got a vertical or horizontal line of symmetry? having similarity in size, shape, and relative position of corresponding parts. Many letters of the English alphabet have point symmetry. Write just the top half orbottom half of the word and ask a partner to read it, using a mirror. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. Print out the alphabet card template or write the alphabet (capital letters) in thick marker on paper and cut the letters out. Choose active voice and vivid verbs. The trapezoid has only the vertical line of symmetry. when a vertical or horizontal line is made to pass through the letter, it gets divided into two equal halves. An object has a point symmetry if every part of the object has a matching part. Email this page to a friend.Also: Sign up for our free web site updates here. The definition of Symmetry in Math, states that symmetry is a mirror image, i.e., when an image looks identical to the original image after the shape is being turned or flipped, then it is called symmetry. This is a straight line, but it's neither horizontal or vertical. On this note, some letters keep their lines of symmetry even when made lowercase, no matter the font. A vertical line has a slope that is undefined. The word symmetry originates from the ancient Greek word, 'symmetria' and approximately means 'equal proportions' or an 'agreement in dimensions'. The most frequently looked up article in the World Book Encyclopedia is said to be SNAKE. Email this page to a friend.Also: Sign up for our free web site updates here. Three Lines of Symmetry SHAKALSHAS (10 letters) is the longest word which can be typed using only the middle row of letters on the keyboard. How much longer should the Sun remain in its stable phase? Letters with horizontal symmetry are B, C, D and E. The letters K, F, G, J, K, L, N, P, Q, R, S and Z all do not have lines of symmetry. Letters that have vertical lines of symmetry include A, M, T, U, V, W and Y. And some, like P, R, and N, have no lines of symmetry. All Rights Reserved. Symmetry Figures A to Z English Alphabet explained in details with some different Questions Watch on Other ten-letter words with this property are PEPPERROOT, PEPPERWORT, PERPETUITY, PEWTERWORT, PIROUETTER, PREREQUIRE, PRETORTURE, PROPRIETOR, REPERTOIRE, REPETITORY, TETTERWORT. Do you know anyone else who would enjoy this? 2 What letters have vertical line symmetry? Next, choose the desired vertical alignment type, open the drop-down menu next to Apply To, select Selected text, and then click the OK button. The cookie is used to store the user consent for the cookies in the category "Other. [1] Conversely, a direction or plane is said to be horizontal if it is perpendicular to the vertical direction. Ty distils the world around him into its basic geometry, prompting us to look at the mundane in a different way. Letters with tails or embellishments may lose their lines of symmetry, while fonts that produce uniform letters retain them. Passive voice, or leaving the subject out of the sentence, makes it look like you are trying to avoid responsibility. Such pictures or figures of which either of the two parts made by a straight line, covers the other part exactly when folded along this line, are called symmetrical figures. Unfortunately, neither is HIGGLEHAGGLED nor GIBBLEGABBLED, also 13 letters each. The letter O is special, as it is the only shape that boasts unlimited lines of symmetry. We may have observed several symmetrical objects in our daily life like rangolis or kolams. In the alphabet, over half of all letters have lines of symmetry. When the figure is folded about this line the two parts fir exactly over each other. On this lesson on lines of symmetry, you will learn about reflection symmetry, vertical line symmetry, horizontal line symmetry, and examples of line symmetr. Again, if a letter is lowercase, capitalized or written in a distinctive font, this can impact whether or not it maintains rotational symmetry. This cookie is set by GDPR Cookie Consent plugin. Horizontal alignment, also known as centered alignment, positions the text evenly between the margins on either side of the page. Free solutions for NCERT Solutions - Mathematics, Class 7 Chapter 15 - Symmetry Exercise 14.1 question 7. y=-2 y= 2. 3 Has the letter T got a vertical or horizontal line of symmetry? Increase i by 1 and decrease j by 1 in each loop cycle. From Canada, Ty was born in Vancouver, British Columbia in 1993. 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Answer: The letter X has both horizontal and vertical lines of symmetry,i.e. Some long words with horizontal symmetry are: BEDECKED, BOOHOOED, CHECKBOOK, CODEBOOK, COOKBOOK, DECIDED, DIOXIDE, DOBCHICK, EXCEEDED, HOODOOED, and KEBOBBED. And some, like P, R, and N, have no lines of symmetry. (a) The following letters have vertical lines of symmetry: A, H, I, M, O, T, U, V, W, X, and Y. People can also have a symmetrical mustache. Note that some figures, like the star and the colorful blob at the top of the page, but not the letters N, Z, or S, have both reflective and rotational symmetry. Axis of Symmetry : THe line that divides the figure into two identical parts is called Axis of Symmetry. The cookie is used to store the user consent for the cookies in the category "Performance". Per student: That said, horizontal symmetry is somewhat common when applied to the alphabet. However, lowercase h and i break the double symmetry. Look at the shapes above. We experience symmetry every day. In 2001, the ten most frequently looked up words in the Cambridge Dictionaries Online were SERENDIPITY, IDIOM, PARADIGM, UBIQUITOUS, DICTIONARY, PRAGMATIC, EFFECT, GRY, JINGOISM, and FOIBLE. Both vertical line and horizontal line of symmetry pass through the middle of an object or alphabet or pattern to form mirror halves, which when placed on each other covers the other part. They all have vertical symmetry. The leaves of plants have various patterns and shapes. More Word Records #Solvetic te ensea cmo PONER UNA HOJA en VERTICAL y OTRA en HORIZONTAL en WORD de manera sencilla y rpida. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. RELATED: How to Change the Alignment of the Numbers in a Numbered List in Microsoft Word. An object and its image are symmetrical with reference to its mirror line. Reflections are one of the most obvious uses of horizontal symmetry. A common misconception found even in many glossaries and texts: Not all lines that divide a figure into two congruent parts are lines of symmetry. Hence, the alphabets which have vertical lines of symmetry are A, H, I, M, O, T, U, V, W, X and Y. Whats a word that has a line of symmetry? Well before children begin any formal study of symmetry, playing with mirrors perhaps on Pattern Block designs that they build develops experience and intuition that can serve both their geometric thinking and their artistic ideas. These cookies track visitors across websites and collect information to provide customized ads. For example, the letter "A" has one line of symmetry, that is the vertical line of symmetry along its center. A kaleidoscope has mirrors inside it that produce images that have multiple lines of symmetry. The metry in symmetry and geometry and metric refers to measurement. He loves to make music, ride bikes, and spend time in the forest. Thus, from the above-given figures, only figure (c) has symmetry. SWIMS is probably the longest word with 180-degree rotational symmetry. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts. In other words, objects are the same on both sides of a line (usually in the middle). To align text vertically on a page, head over to the Layout tab and select the small icon in the bottom-right corner of the Page Setup group. 2020 Education Development Center. For example, when you are told to cut out a heart from a piece of paper, you simply fold the paper, draw one-half of the heart at the fold and cut it out to find that the other half exactly matches the first half. In such a case, the line of symmetry is horizontal. 2 has no symmetry. 2.Rotational Symmetry This cookie is set by GDPR Cookie Consent plugin. The words will come from an input file. Most looked-up and most misspelled Words If x^2=49, then x=7, 2. This cookie is set by GDPR Cookie Consent plugin. Letters with horizontal symmetry are B, C, D and E. The letters K, F, G, J, K, L, N, P, Q, R, S and Z all do not have lines of symmetry. The following table shows the examples for different shapes with the number of lines of symmetry that they have. These objects might have one, two, or multiple lines of symmetry. Some letters, for example, X, H, and O, have both vertical and horizontal lines of symmetry. Others include MOM, WOW, AHA, AHA, AIA, AMA, AVA, AWA, HAH, HOH, HUH, MAM, MIM, MUM, OHO, OXO, TAT, TIT, TOT, TUT, UTU, VAV, and WAW! What letters have vertical line symmetry? What is the longest word with horizontal symmetry? But opting out of some of these cookies may affect your browsing experience. . HI- if you fold them they will have a horizontal line of symmetry. For example, the diagonal of a square divides it into two equal halves, this is referred to as the line of symmetry for a square. The heart carved out is an example of symmetry. Image by Peter H from Pixabay. Rotational symmetry exists when a shape is turned, and the shape is identical to the origin. A kaleidoscope is a good example of rotational symmetry. When written in upper case, the word BID has horizontal symmetry, but when written in lower case it has vertical symmetry bid! The only dictionary word which can be typed using only the bottom row of letters is ZZZ (to indicate sleeping). Some letters lines of symmetry only apply to their capital forms. A selection of vertical alignment options will appear. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Create puzzles byusing half-letters to spell out words for a partner to solve, with or without a mirror. In modern language though, symmetry means something that has parts which mirror each other. The Diagonal Line of Symmetry In 2001, the ten most frequently looked up words in the Cambridge Dictionaries Online were SERENDIPITY, IDIOM, PARADIGM, UBIQUITOUS, DICTIONARY, PRAGMATIC, EFFECT, GRY, JINGOISM, and FOIBLE. It is a balanced and proportionate similarity found in two halves of an object, which means one-half is the mirror image of the other half. CHECKBOOK SHAKALSHAS (10 letters) is the longest word which can be typed using only the middle row of letters on the keyboard. Statement 4: All letters are asymmetrical. This tool also allows you to be selective with the text you align horizontally, giving you more control over what you can do to your document. A line of symmetry is one that divides a figure into two halves which are mirror images of each other. The lines are always written in the form y=a y = a where a a represents a real number. F,G,J,L,N,P,Q,R,S, and Z letters dont have line of symmetry. 3. How-To Geek is where you turn when you want experts to explain technology. What type of medicine do you put on a burn? For example, the rectangle has two lines of symmetry, vertical and horizontal. What are horizontal and vertical lines of symmetry? When an object is rotated in a particular direction, around a point, then it is known as rotational symmetry, also known as radial symmetry. boolean horizontal = true; boolean vertical = true; // Checking for Horizontal Symmetry. Which is more common horizontal symmetry or vertical symmetry? Select the Layout tab and then click the arrow next to Vertical Alignment in the Page section. Statement 3: All letters have horizontal line of symmetry. answered by Sara February 6, 2010 Here are letters that have symettry about a vertical fold O, I, M, W, T, A, H,U,V,X,Y Does that help? Those letters are the capital versions of H and I and both the capital and lowercase versions of X/x. The line of symmetry is a line that divides an object into two identical pieces. Some horizontally symmetrical words are: CHEEK, BIKE, BOX, BOOK, HIDE, X-BOX. The longest such word, with ten letters, is OKEECHOBEE. Some letters, for example, X, H, and O, have both vertical and horizontal lines of symmetry. Which letters have horizontal lines of symmetry? This type of Symmetry is called Translational Symmetry. Letters that lose their rotational symmetry when made lowercase are h and i, while o, s, x and z all keep their rotational symmetry in either form. However, the alphabet Z does not possess vertical symmetry. It comes from the word 'horizon . Wordplay: Words with vertical symmetry AUTOMATA AUTOTOMY HIMATIA HOITY-TOITY HOMOTAXIA MAHATMA MAHIMAHI MAMMATI MAMMOTH MATAMATA MOTIVITY MOUTH-TO-MOUTH MYOMATA For example, the following shape can be split into two equal halves when cut horizontally. Symmetry is when one side of a shape is a mirror image of the other side. Radial Symmetry. Horizontal lines are always parallel to the x x -axis. 5 Tips to Making Your Writing More Exciting. They will be vertically symmetrical. 1 has no symmetry line. If the line of symmetry is parallel to the horizontal plane, then it is known as the horizontal line of symmetry. 4 has no symmetry. 1455 Quebec Street Using only the fingers of the right hand, one can type the 12-letter word JOHNNY-JUMP-UP (common name for a flower) including the hyphens, and also PHYLLOPHYLLIN (13 letters). It is harder to make long words from the second half of the alphabet, as there are only two vowels, and these vowels are less common than those found in the first half of the alphabet. The longest such word, with ten letters, is OKEECHOBEE. and E all have only 1 line of symmetry. Here are letters that have symettry about a vertical fold For example, EXCEEDED and ICEBOX have horizontal symmetry, but VERTICAL and SIMPLE do not. Statement 2: All letters have vertical line of symmetry. For example, a square has a symmetrical shape. Jason takes a selfie with his sister. By clicking Accept All, you consent to the use of ALL the cookies. The symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry. The cookies is used to store the user consent for the cookies in the category "Necessary". What is the longest word in the English language? Microsoft Word comes equipped with a tool that allows users to align text both vertically and horizontally, giving you complete freedom for determining the position of text in a Word document. The longest words with vertical symmetry are OTTO, MAAM, and TOOT. The cookie is used to store the user consent for the cookies in the category "Analytics". Most of these leaves depict symmetric patterns if we take the middle vein as the line of vertical symmetry. and more. But opting out of some of these cookies may affect your browsing experience. In other words, it is a straight standing line that divides an image or shape into two identical halves. Vertical symmetry is often used in architectural photography. The presence or absence of symmetry has important implications for the evolution of languages. Which alphabet has horizontal line of symmetry? These cookies ensure basic functionalities and security features of the website, anonymously. Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. It does not store any personal data. 4 Which English letter has horizontal and vertical symmetry? Some letters, for example, X, H, and O, have both vertical and horizontal lines of symmetry. A glide reflection is commutative in nature and the change in combinations order does not alter the output of the glide reflection. HAH, HOH, HUH, MA'AM, MOM, OHO, TAT, TIT, TOT, TOOT, TUT, and WOW are several words which, when written in upper case letters, have vertical symmetry. If an object looks the same when you turn it upside down, then it is said to have point symmetry. A shape or an object has symmetry if it can be divided into two identical pieces. A palindrome is spelled the same forward and backward. Word records: consecutive letters. A line of symmetry is one that divides a figure into two halves which are mirror images of each other. For that, you have to iterate over the elements of the row and check if row [x] == row [len-1-x]. You can ask a new question or browse more Math questions. Some other words frequently looked up, besides obscene words, were UBIQUITOUS, ESOTERIC, OXYMORON, SERENDIPITY, HUBRIS, OBSEQUIOUS, and ECLECTIC. In geometry, there are many shapes that depict rotational symmetry. Once selected, head back to the Layout tab of the Page Setup dialog box. Symmetry Line in Numbers From 0 To 9 0 has 2 lines of symmetry 1 horizontal and 1 vertical. B. a translation down and a reflection over the, There is also a diagram drawn on my homework which is a vertical, An image shows a two dimensional arrow with a dashed line drawn down the middle of the arrow. Vertical Line of Symmetry. 1) A single plane of reflection symmetry. Think of it this way: With reflection symmetry, if you were to draw a line down the center of your logo (horizontal or vertical) and then fold your logo over that line, both halves would be identical. Subalphabetic Words Capital letters (write your own with thick marker on paper or print out template) It is given that the figure has a reflexive line of symmetry. Hood Book Cook Bee Are words with vertical line symmetry possible? The longest such word, with ten letters, is OKEECHOBEE. All of these words can be sliced in half horizontally to produce identical halves. // We compare first row with last // row, second row with second // last row and so on. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. This new shape the combination of the triangular half of the original rectangle and its image in the mirror is called a kite. Sign up for our free web site updates here. However, you may visit "Cookie Settings" to provide a controlled consent. Letters with rotational symmetry are those which, when rotated 180 degrees around their centers, resemble their original forms at any point throughout the rotation. All of the letters in the words SOONISH (7 letters) and ONIONS (6 letters) independently have 180-degree rotational symmetry. First, highlight the text you want to align vertically. Mirror-symmetric objects have at least one line of symmetry, a line along which the figure can be folded into two precisely matching parts, parts that are mirror images of each other. Theres also an easy way to make this happen. The colorful design above has only vertical and horizontal lines of symmetry, but placing a mirror on it at another angle can create a beautiful new design. Email this page to a friend.Also: Sign up for our free web site updates here. PARADIGM was the word most frequently looked up in 1998 in the Merriam-Webster online dictionary. For example, if we take a molecule of water and rotate it by 180 about an axis passing through the central O atom (between the two H atoms) it will look the same as before. In such a case, the line of symmetry is horizontal. This also means that it has perfect rotational symmetry, a concept well explore more in a following section. What is a horizontal line of symmetry? Do you know anyone else who would enjoy this? For Horizontal Symmetry, initialize one pointer i = 0 and another pointer j = N - 1. This tool also allows you to be selective with the text you align horizontally, giving you more control over what you can do to your document. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. AFTERCATARACTS, TESSERADECADES and TETRASTEARATES (each 14 letters) are the longest words which can be typed using only the fingers of the left hand, using the standard method of typing. If a figure has rotational symmetry of 180, then it has point symmetry. The angle between the mirror decides the number of lines of symmetry.