12/15/2023 0 Comments Steel stack supplements![]() ![]() ![]() This goes through a conversion process from 1-Androsterone to 1-AD and then to 1-Testosterone. When it comes to building muscle, the ingredient 1-Andro is 1-androstene-3b-ol-17-one, or 1-Androsterone. Lastly, andro supplements can be stacked with powerful HGH boosters to dramatically enhance their efficiency. Liposomal technology takes the active ingredients and encapsulates them in lipids (fats) to improve absorption and uptake into the body. While selecting an andro-supplement, it’s a good idea to go for products manufactured with LIPOSOMAL TECHNOLOGY to increase the bioavailability/potency of ingredients. It has no illegal ingredients but on the contrary has dietary supplements which are natural, so fitness enthusiasts can safely take this scientifically designed formula. ![]() This is a natural legal steroid and a safe alternative which can be purchased without prescription. Side effects such as DHT conversion associated with accelerated hair loss, acne, gyno and conversion to estrogen are not a concern with 1-ANDRO because of its structural properties.Īn andro supplement like Steel Supplements 3-epi-andro is good for cutting and packing lean muscle. Prohormone Supplements like 1-Andro have the potential to increase lean muscle mass while dramatically improving strength and power Many users experience incredible gains in just 1 cycle. Legal steroids like Androstenedione ( andro), 1-AD,1-test and 4-Androstenedione are the closest thing to real steroids and some of these are available legally. Over the last few years the serious body builders have been using the alternative legal steroids and achieving amazing results. ![]()
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12/15/2023 0 Comments Sippho![]() ![]() Her poems about Eros, however, speak with equal force to men as well as to women. Because social norms in ancient Greece differed from those of today and because so little is actually known of her life, it is difficult to unequivocally answer such claims. Her reputation for licentiousness would cause Pope Gregory to burn her work in 1073. This characterization held fast, so much so that the very term “lesbian” is derived from the name of her home island. Three centuries after her death the writers of the New Comedy parodied Sappho as both overly promiscuous and lesbian. In 1914, in Egypt, archeologists discovered papier-mâché coffins made from scraps of paper that contained more verse fragments attributed to Sappho. In 1898, scholars unearthed papyri that contained fragments of her poems. ![]() Merely one twenty-eight-line poem of hers has survived intact, and she was known principally through quotations found in the works of other authors until the nineteenth century. Her poems were first collected into nine volumes around the third century BC, but her work was lost almost entirely for many years. It is unclear whether she invented or simply refined the meter of her day, but today it is known as “Sapphic” meter. ![]() She was known in antiquity as a great poet: Plato called her “the tenth Muse” and her likeness appeared on coins. The history of her poems is as speculative as that of her biography. Other historians posit that she died of old age around 550 BC. A legend from Ovid suggests that she threw herself from a cliff when her heart was broken by Phaon, a young sailor, and died at an early age. Sappho’s school devoted itself to the cult of Aphrodite and Eros, and Sappho earned great prominence as a dedicated teacher and poet. She spent most of her adult life in the city of Mytilene on Lesbos where she ran an academy for unmarried young women. Evidence suggests that she had several brothers, married a wealthy man named Cercylas, and had a daughter named Cleis. She was born around 615 BC to an aristocratic family on the Greek island of Lesbos. Only a handful of details are known about the life of Sappho. ![]() 12/15/2023 0 Comments Mutiny artwrx![]() ![]() ![]() I go above and Beyond in any job that I work I’m there early I work late I do things to make it look better I work way too hard to work for someone else at my previous job the work I did was meaningful and at the same time unappreciative after a colleague took her life the business handled it so callously that I knew I meant nothing to them as well That was the moment I decided I have to work for myself I have to put in all this effort for what I WANT to do every dayĬan you open up a bit about your work and career? We’re big fans and we’d love for our community to learn more about your work. Hi Shāna “Lyiness”, we’d love to hear more about how you thought about starting your own business? We had the good fortune of connecting with Shāna “Lyiness” Salyer and we’ve shared our conversation below. Manchin: Downgrade of America’s credit rating a ‘historic failure’ of. Hurd ‘pissed’ about Trump arraignment: ‘We can do something about this’ UFOs are the story of the century - wake up, America! What it was like inside the courtroom for Trump’s arraignment John Bolton: ‘In a second Trump term, we’d almost certainly withdraw from. GOP releases Devon Archer transcript after lawmakers give conflicting accounts Gravity of new Trump charges scrambles GOP politicsīarr calls Trump indictment ‘tip of the iceberg’ in Jack Smith’s caseĥ takeaways from Devon Archer’s interview with House Oversight ![]() ![]() Judge warns Trump against bribing or influencing witnesses 6 committee was aware of notes Mike Pence. This material may not be published, broadcast, rewritten, or redistributed.ĭemocratic Rep. “So, for a lot of Russians watching this, used to this image of Putin as the arbiter of order, the question was, ‘Does the emperor have no clothes?’ or at least, ‘Why is it taking him so long for him to get dressed?’” he added. “What we saw was Russian security services, Russian military, Russian decisionmakers which were adrift, or appeared to be adrift for those 36 hours,” Burns also said Thursday. However, he halted the advance after Belarusian President Alexander Lukashenko reached a deal to allow him and his troops to leave Russia safely and move into Belarus. Prigozhin - who had for months criticized over the Russia’s military leadership’s handling of the war - marched his mercenary troops toward Moscow last month. US military may put armed troops on commercial ships in Strait of Hormuz to stop Iran seizures South Korean police pursue suspect in 2nd stabbing attack in 2 days “And so, that’s where Putin is trying to buy time, as he considers what to do with Wagner and what to do with Prigozhin himself.”īurns also suggested that Putin is currently “trying to settle things” in Russia but will ultimately try to separate Prigozhin from what he values in the Wagner Group. “If and when the Ukrainians make further advances on the battlefield, I think what that’s going to do is cause more and more Russians in the elite and outside the elite to pay attention to Prigozhin’s critique of the war as well,” he added. “Those weaknesses have been exposed by Prigozhin’s mutiny, but I think even more deeply than that, they’ve been exposed by Putin’s misjudgment since he launched this invasion as well,” the CIA director said. ![]() 12/15/2023 0 Comments Cut tangerine quartz earrings![]() ![]() These stones come in shades that are similar to the color of an orange or tangerine fruit - from pale orange hues to vivid and bold tangerine. Jacuzzi Bath Remodel Quartz & Granite Installation. Varieties And Colors When it comes to tangerine quartz, there’s a wide range of varieties and colors available. This nuance and variation is characteristic of the singularity of the piece and process. Diamond Studs Diamond Earrings Gemstone Earrings Gold Earrings One-of-a-Kind Earrings. Working between Detroit and DTLA, she sources all stone, crystal, shell, fossil and horn specimens locally, intuitively sourced in person from only the most reputable and ethical suppliers.Įlectroforming results are unique to each specimen and will never be identical, even when crafted under what seems the same conditions. Textured, electroformed copper at the top of the stonesĮach pair of earrings is unique and one of a kind, and made by hand by metalworking artist and Well Done Goods by Cyberoptix founder, Bethany Shorb.Each is one of a kind! Handmade in-house.Tangerine Quartz Sterling Silver Pendant, Wire Wrap. This warm tangerine/red stone is set in a bezel of 22k gold backed with sterling silver. Small Tangerine Quartz Points Crystal Natural Stone Reiki Gemstone Gridding SOUL HEALING. Natural hematoid quartz points average ~1" long Tangerine Quartz Rectangle Pendant With Triple Goddess Bail Description Additional information. These elegant stud earrings feature rose hessionite cut garnet.pink cabochon cut agate, stingray leather and rhodium-plated sterling silver studs. Red quartz is similar to tangerine quartz, but its coating consists of a more finely divided, particulate hematite that produces a deeper red color. Gracy earrings stingray leather tangerine pink ahat a-cuckoo-moment. Red quartz is collected for its unusual association with hematite, which provides its distinctive reddish color. Red quartz is also known as hematoid quartz, as it contains both the amplification properties of quartz with the balance and stability of hematite. ![]() 12/15/2023 0 Comments Querious rat typ![]() It is the fastest burning and burning program that can put everything on disk. Advanced features can let you create and burn ISO images and support many file formats with the help of registry. NCH Express Burn Plus Keygen is a useful software that allows you to naturally burn videos, music, images, documents and other files to CD, DVD and Blu-ray discs. It is the best software that provides the most important tools including CD/DVD burning and ripping tools. The serial number is used to copy, rip and burn data to CDs, DVDs and Blu-ray Discs. It includes other functions besides converting audio and printing labels with code. You can free download the full version of the software available here. The torrent file is also available for download. 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Give your drivers and customers the Google Maps experience they know and love with routes that cover 40 million miles of roads in over 200 countries and territories. Whether you’re expanding your ridesharing operations into Australia or deploying a two-wheeler service in India, we’ve got you covered with detailed, high-quality data for urban areas and cities around the globe. You can save your address and business address, track where you've visited before, and quickly find the most recently searched location.ĭeliver great experiences all over the globe Log in to your Google account and enjoy your own Google Maps. ![]() Vincent & Grenadines (AUD $) Sudan (AUD $) Suriname (AUD $) Svalbard & Jan Mayen (AUD $) Sweden (AUD $) Switzerland (AUD $) Taiwan (AUD $) Tajikistan (AUD $) Tanzania (AUD $) Thailand (AUD $) Timor-Leste (AUD $) Togo (AUD $) Tokelau (AUD $) Tonga (AUD $) Trinidad & Tobago (AUD $) Tristan da Cunha (AUD $) Tunisia (AUD $) Turkey (AUD $) Turkmenistan (AUD $) Turks & Caicos Islands (AUD $) Tuvalu (AUD $) U.S.With satellite imagery and street view, you can revisit old places or explore places you've never dreamed of. Country Afghanistan (AUD $) Åland Islands (EUR €) Albania (AUD $) Algeria (AUD $) Andorra (EUR €) Angola (AUD $) Anguilla (AUD $) Antigua & Barbuda (AUD $) Argentina (AUD $) Armenia (AUD $) Aruba (AUD $) Ascension Island (AUD $) Australia (AUD $) Austria (EUR €) Azerbaijan (AUD $) Bahamas (AUD $) Bahrain (AUD $) Bangladesh (AUD $) Barbados (AUD $) Belarus (AUD $) Belgium (EUR €) Belize (AUD $) Benin (AUD $) Bermuda (AUD $) Bhutan (AUD $) Bolivia (AUD $) Bosnia & Herzegovina (AUD $) Botswana (AUD $) Brazil (AUD $) British Indian Ocean Territory (AUD $) British Virgin Islands (AUD $) Brunei (AUD $) Bulgaria (AUD $) Burkina Faso (AUD $) Burundi (AUD $) Cambodia (AUD $) Cameroon (AUD $) Canada (AUD $) Cape Verde (AUD $) Caribbean Netherlands (AUD $) Cayman Islands (AUD $) Central African Republic (AUD $) Chad (AUD $) Chile (AUD $) China (AUD $) Christmas Island (AUD $) Cocos (Keeling) Islands (AUD $) Colombia (AUD $) Comoros (AUD $) Congo - Brazzaville (AUD $) Congo - Kinshasa (AUD $) Cook Islands (AUD $) Costa Rica (AUD $) Côte d’Ivoire (AUD $) Croatia (AUD $) Curaçao (AUD $) Cyprus (EUR €) Czechia (AUD $) Denmark (AUD $) Djibouti (AUD $) Dominica (AUD $) Dominican Republic (AUD $) Ecuador (AUD $) Egypt (AUD $) El Salvador (AUD $) Equatorial Guinea (AUD $) Eritrea (AUD $) Estonia (EUR €) Eswatini (AUD $) Ethiopia (AUD $) Falkland Islands (AUD $) Faroe Islands (AUD $) Fiji (AUD $) Finland (EUR €) France (EUR €) French Guiana (EUR €) French Polynesia (AUD $) French Southern Territories (EUR €) Gabon (AUD $) Gambia (AUD $) Georgia (AUD $) Germany (EUR €) Ghana (AUD $) Gibraltar (AUD $) Greece (EUR €) Greenland (AUD $) Grenada (AUD $) Guadeloupe (EUR €) Guatemala (AUD $) Guernsey (AUD $) Guinea (AUD $) Guinea-Bissau (AUD $) Guyana (AUD $) Haiti (AUD $) Honduras (AUD $) Hong Kong SAR (AUD $) Hungary (AUD $) Iceland (AUD $) India (AUD $) Indonesia (AUD $) Iraq (AUD $) Ireland (EUR €) Isle of Man (AUD $) Israel (AUD $) Italy (EUR €) Jamaica (AUD $) Japan (AUD $) Jersey (AUD $) Jordan (AUD $) Kazakhstan (AUD $) Kenya (AUD $) Kiribati (AUD $) Kosovo (EUR €) Kuwait (AUD $) Kyrgyzstan (AUD $) Laos (AUD $) Latvia (EUR €) Lebanon (AUD $) Lesotho (AUD $) Liberia (AUD $) Libya (AUD $) Liechtenstein (AUD $) Lithuania (EUR €) Luxembourg (EUR €) Macao SAR (AUD $) Madagascar (AUD $) Malawi (AUD $) Malaysia (AUD $) Maldives (AUD $) Mali (AUD $) Malta (EUR €) Martinique (EUR €) Mauritania (AUD $) Mauritius (AUD $) Mayotte (EUR €) Mexico (AUD $) Moldova (AUD $) Monaco (EUR €) Mongolia (AUD $) Montenegro (EUR €) Montserrat (AUD $) Morocco (AUD $) Mozambique (AUD $) Myanmar (Burma) (AUD $) Namibia (AUD $) Nauru (AUD $) Nepal (AUD $) Netherlands (EUR €) New Caledonia (AUD $) New Zealand (NZD $) Nicaragua (AUD $) Niger (AUD $) Nigeria (AUD $) Niue (AUD $) Norfolk Island (AUD $) North Macedonia (AUD $) Norway (AUD $) Oman (AUD $) Pakistan (AUD $) Palestinian Territories (AUD $) Panama (AUD $) Papua New Guinea (AUD $) Paraguay (AUD $) Peru (AUD $) Philippines (AUD $) Pitcairn Islands (AUD $) Poland (AUD $) Portugal (EUR €) Qatar (AUD $) Réunion (EUR €) Romania (AUD $) Russia (AUD $) Rwanda (AUD $) Samoa (AUD $) San Marino (EUR €) São Tomé & Príncipe (AUD $) Saudi Arabia (AUD $) Senegal (AUD $) Serbia (AUD $) Seychelles (AUD $) Sierra Leone (AUD $) Singapore (AUD $) Sint Maarten (AUD $) Slovakia (EUR €) Slovenia (EUR €) Solomon Islands (AUD $) Somalia (AUD $) South Africa (AUD $) South Georgia & South Sandwich Islands (AUD $) South Korea (AUD $) South Sudan (AUD $) Spain (EUR €) Sri Lanka (AUD $) St. ![]() 12/14/2023 0 Comments Movie effects explosion![]() “And so for me, everything about Oppenheimer's story was about engagement. “That's engagement and that is the stuff of entertainment”, states Nolan. And possibly appalled, possibly horrified.” ![]() We're talking about being riveted by a very tense and dramatic story. And when we speak of entertainment in movies, we're not necessarily talking about fun, laughter, and happy things. But horror is a valid genre in cinema, the same way as drama, romance, comedy, or anything else. “And of course, it's a little uncomfortable talking about the word entertainment in regard to something so serious. “Well, it's useful that you use the word horrific in the same breath as entertainment, which seems contradictory”, Nolan explains. It’s meant to be a horrifying moment that leaves theatres solemnly quiet as opposed to whooping with glee. One more akin to a moment of tragedy from something like There Will Be Blood than the heroic action of Top Gun: Maverick. Oppenheimer called for a different type of effect. So many of his previous stunts and set pieces were designed in order to thrill and entertain the audience, turning their world upside down like a semi-truck flipping over in downtown Gotham. It’s a breadth of emotion that needed to be carefully balanced by Nolan and reflected in the blast itself. Each member of the cast is on top of their game displaying a range of excitement, fear, and dread. The scene set prior to the detonation in the vast New Mexico desert is one filled with tension. So let's see if we can produce all of these effects using analog methods, from the very first imaginings that Oppenheimer has of the quantum world, of atoms, and how they would be interacting with strong force between them. “So I first showed the script to Andrew Jackson, my visual effects supervisor, and said, I don't think that tool's going to work for us. It's very difficult to have computer graphics convey threat, which is why they have to be used very carefully in horror movies, for example. But the results tend to feel a little anodyne, a little safe. ![]() That's not going to work because computer graphics, they're extremely versatile, and the detail that can be achieved and the variety of imagery that can be achieved is obviously unparalleled. “But when I came to Oppenheimer and I thought, okay, how do we portray the Trinity test? That first atomic device being detonated. It was actually put further away and made to feel safe.” But, strange to say, in that sequence, it was the release of tension. ![]() “So we used computer graphics to do the explosion in Dark Knight Rises. “At the end of Dark Knight Rises, there's a nuclear explosion, the point of which is very, very different from the explosion we knew we had to portray in the real-life Trinity test”, says Nolan. But, for a director with a long-held passion for practical effects, it was actually one of the rare occasions from his previous films where he embraced CGI methods that made it clear to him that Oppenheimer’s cinematic centrepiece would have to be created without the use of computer graphics. ![]() 12/14/2023 0 Comments Macbook pro 2011 macos versions![]() ![]() If you need to know the build number as well, click the version number to see it. The window that opens might look different from the example shown here, but it always includes the macOS name followed by its version number. MacBook Pro (15-inch, Mid/Late 2007, 2.4/2. Which macOS is installed From the Apple menu in the upper-left corner of your screen, choose About This Mac. Also see: Macs By Series, Mac Clones, By Year, By Case Type and Currently Shipping. For other processors, please refer to the main By Processor page. MacBook Pro (17-inch, Mid/Late 2007, 2.4 GHz) Complete technical specifications for every Apple Mac using the Intel Core i7 processor are listed below for your convenience. With macOS Sonoma announced and currently in beta and likely to arrive on Macs in October, it’s likely that many Mac users will be wondering if their Mac will be able to support it or the current. MacBook Pro (Retina, 13-inch, Early 2013) MacBook Pro (Retina, 15-inch, Early 2013) MacBook Pro (Retina, 13-inch, Early 2015) MacBook Pro (13-inch, 2016, Two Thunderbolt 3 Ports) Full List of macOS Versions in order OS X 10.8, Mountain Lion, 12 OS X 10.9, Mavericks, 13 OS X 10.10, Yosemite, 14 OS X 10.11, El Capitan, 15 Mac OS 10.12. You should receive a notification that a new update is available, but if you havent seen it, you can check under System. Here is a list by operating system, that lists what Mac Model that has that operating system as the newest version of mac OS available to it. MacBook Pro (13-inch, 2016, Four Thunderbolt 3 Ports) Good news - you can download and install macOS 11 Big Sur right now. MacBook Pro (13-inch, 2017, Two Thunderbolt 3 Ports) MacBook Pro (13-inch, 2017, Four Thunderbolt 3 Ports) MacBook Pro (13-inch, 2018, Four Thunderbolt 3 Ports) MacBook Pro (13-inch, 2019, Four Thunderbolt 3 ports) MacBook Pro (13-inch, 2019, Two Thunderbolt 3 ports) MacBook Pro (13-inch, 2020, Two Thunderbolt 3 ports) ![]() ![]() MacBook Pro (13-inch, 2020, Four Thunderbolt 3 ports) Obsolete products: No repair support available.Vintage products: Repair support is available as long as repair parts are in stock.Mac laptops may be eligible for an extended battery-only repair period for up to 10 years from when the product was last distributed for sale, subject to parts availability. Monster-branded Beats products are considered obsolete regardless of when they were purchased.Īpple discontinues all hardware service for obsolete products, and service providers cannot order parts for obsolete products. Products are considered obsolete when Apple stopped distributing them for sale more than 7 years ago. This site contains user submitted content, comments and opinions and is for informational purposes only. Products are considered vintage when Apple stopped distributing them for sale more than 5 and less than 7 years ago.įor products purchased in France, see Statutory Warranties of Seller and Spare Parts (PDF). Owners of a new iPhone or Mac laptop purchased after December 31, 2020, in France, may obtain service and parts from Apple or Apple service providers for 7 years from the date the product model was last supplied by Apple for distribution into France. ![]() 12/14/2023 0 Comments Lightspeed restaurant pos review![]() Similarly, you have full security control of the system. You can also hide menu categories for breakfast, lunch, and dinner or remove instantly unavailable items. Menu items can be assigned to multiple ticket printers. The system also accommodates gift cards and loyalty deals.įurthermore, TouchBistro provides versatile admin controls and customization tools. It’s also quick to generate transactional reports like payment and refund totals, detailed credit card refund and reporting. Its POS features help you transact faster while reducing manual error and increasing dining-counter-kitchen coordination with in-app communications. Allows the sending of daily email digests on key performance indicators to help owners and managers track staff performance and kitchen efficiency.Provides options to automate loyalty and discount program process flows.Offers bundled hardware with a one-time pricing option.Provides a subscription-based pricing model based on the core software and also offers add-on modules such as loyalty programs, online ordering, and physical and digital gift cards.It’s one of a few end-to-end restaurant management systems that support Android for tableside management.Toast POS is such a comprehensive restaurant system that it’s also the leading product in our list of best restaurant management software. Other main functions include customer management, staff performance tracking, product mix reports to identify your best-sellers and a kiosk system for digital ordering at restaurants. You can also set up menus for different subgroups. You can set time-specific menu pricing, for instance, during happy hours, or configure different menu sets for online and offline customers. Using a system-enabled Android tablet, servers can process payments, print receipts or send them via email at tableside.Ĭustomizing the menu is also easy. Likewise, servers can take orders on the fly. The system can also send alerts to service when an order is ready. Overall, Toast POS can enhance staff efficiency, reduce costs and improve customer service.įor one, servers can split menu items and bills among customers. It also integrates CRM to help you nurture customer loyalty. More than a POS system, Toast POS provides a comprehensive restaurant management system that streamlines front-end and back-office processes. The vendor offers a comprehensive look at its features. Users can turn to the huge Toast community to share or receive best practice tips. The software caters to quick-service and full-service establishments, with a configurable toolset for nightclubs, pizzerias, bars, and chains in the US. Android devices offer more options, provide faster software updates and have more customization options than the iPad. ![]() ![]() Toast POS is one of the few providers of an Android POS system, which is more suitable for restaurants due to the flexibility and affordability of the Android infrastructure. ![]() Hence, getting your POS right off the bat is crucial. Whether you’re planning to get into this exciting industry or are already in it, understand that competition is stiff and, in most cases between two restaurants with an equally successful menu, how efficient you provide customer service is the deal-breaker. In fact, our restaurant statistics show how technology is one of the biggest factors in gaining an edge in today’s fierce competitive restaurant industry. ![]() Even better is that they can utilize technology to further fuel this growth by improving how things are run behind the counter. You would also do well to keep a keen eye on vendor reputation for providing timely updates and customer service. These applications would typically provide the same core functions, so watch out for other things like the hardware you would need to purchase on top of the software or which mobile platform it runs on. In this article, you’ll read about what we found to be the 20 best POS systems for restaurants in the market today based on core features, restaurant management tools, ease of use, and more. How often do restaurants have to gray out certain menus on the list for unavailability because of a lack of certain ingredients? POS software does away with the embarrassment and inconvenience, while the best of them keep track of repeat customers and give them the rewards they deserve no matter if they’re switching branches of your restaurant. It provides all the order and payment processing tools you need, with additional capabilities to help you operate your restaurant optimally. The best POS system for restaurants is Toast POS, a reasonably priced, full-featured point-of-sale platform for US-based foodservice companies. ![]() 12/14/2023 0 Comments Transformations of shapes in geometry![]() ![]() What is transformation with an example?Īn example of a transformation is translation, which occurs when an object is moved from one space to another without changing its shape or size. The translation is when an object is moved from one space to another without changing its shape or size rotation is when an object is turned around some point or axis on a graph paper reflection occurs when an object is flipped over across either a line (in two-dimensional shapes ) or plane (in three-dimensional shapes), and scaling is when an object’s size is changed while maintaining its shape. The four transformations in geometry are translation, rotation, reflection, and scaling. What is the 4 transformations in geometry? ![]() Examples of transformations include translation (moving an object from one space to another without changing its shape or size), rotation (turning an object around some point or axis on a graph paper without changing its size or shape), and reflection (flipping an object over across either a line or plane so that it appears as if there are two identical objects facing opposite directions on either side of the line/plane used for flipping purposes). FAQ How do you describe a transformation in geometry?Ī transformation in geometry is when an object is moved, rotated, or flipped over across a line or plane to change its size, orientation, and/or location. For students who want to become better at math, understanding these ideas will prove vital for success in future classes related to geometry. There are three main types of transformations-translation, rotation, and reflection-each one allowing us to manipulate shapes in different ways on our graph papers so we can better understand how objects interact with one another regardless of their initial locations and orientations when placed on our graphs. In conclusion, transformations are important concepts in geometry because they help us understand how shapes can move around and change while still maintaining their original size, shape, and orientation. This type of transformation flips an object over across either its line or plane so that it appears as if there are two identical objects facing opposite directions on either side of the line/plane used for flipping purposes. An example of this would be if you were to take a rectangle and flip it over along its vertical line on graph paper so that each side appears as if it has been mirrored across that line. When this happens, the shape remains unchanged but appears to be “mirrored” in some way due to how it has been flipped over across either its line or plane. ReflectionĪ reflection occurs when an object is flipped over across either a line (in two-dimensional shapes) or a plane (in three-dimensional shapes). This type of transformation changes the orientation of an object without moving it from its original location or changing its size or shape. An example of this would be if you were to take a square and rotate it 45 degrees clockwise on graph paper without moving it from its original position. This means that the object’s size and shape remain unchanged but its orientation changes as it turns around a given point or axis. RotationĪ rotation is when an object is turned around some point or axis on graph paper. This type of transformation does not change the orientation or angle of the original shape at all it simply moves it from one place to another. An example of this would be if a triangle was moved two inches to the left on a graph paper without being rotated or resized. TranslationĪ translation is when an object is moved from one space to another without changing its shape or size. ![]() Let’s break down the three main types of transformations in geometry. Understanding these concepts can help students become more proficient in their math skills. But do you know what they are and why they are important? In geometry, transformations refer to movements of shapes and figures that change the size, orientation, and location of an object. If you have ever taken a math class, then you are likely familiar with transformations. ![]() |
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