Current File : /var/www/html/digiprint/public/site/cache/1328b437ebb974c58fe4749c94094785
a:5:{s:8:"template";s:10823:"<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8"/>
<meta content="width=device-width, initial-scale=1" name="viewport"/>
<title>{{ keyword }}</title>
<link href="http://fonts.googleapis.com/css?family=Libre+Franklin%3A300italic%2C400italic%2C700italic%2C400%2C700%2C300&ver=4.7.16" id="google-fonts-Libre+Franklin-css" media="all" rel="stylesheet" type="text/css"/>
<link href="http://fonts.googleapis.com/css?family=Questrial%3A300italic%2C400italic%2C700italic%2C400%2C700%2C300&ver=4.7.16" id="google-fonts-Questrial-css" media="all" rel="stylesheet" type="text/css"/>
<link href="//fonts.googleapis.com/css?family=Dosis%3A300italic%2C400italic%2C700italic%2C400%2C700%2C300&ver=4.7.16" id="google-fonts-Dosis-css" media="all" rel="stylesheet" type="text/css"/>
<link href="//fonts.googleapis.com/css?family=Poppins%3A300italic%2C400italic%2C700italic%2C400%2C700%2C300&ver=4.7.16" id="google-fonts-Poppins-css" media="all" rel="stylesheet" type="text/css"/>
<style rel="stylesheet" type="text/css">@charset "UTF-8";.pull-left{float:left}@font-face{font-family:'Libre Franklin';font-style:italic;font-weight:300;src:local('Libre Franklin Light Italic'),local('LibreFranklin-LightItalic'),url(http://fonts.gstatic.com/s/librefranklin/v4/jizGREVItHgc8qDIbSTKq4XkRiUa454xm1npiA.ttf) format('truetype')}@font-face{font-family:'Libre Franklin';font-style:italic;font-weight:400;src:local('Libre Franklin Italic'),local('LibreFranklin-Italic'),url(http://fonts.gstatic.com/s/librefranklin/v4/jizBREVItHgc8qDIbSTKq4XkRiUa6zUTiw.ttf) format('truetype')}@font-face{font-family:'Libre Franklin';font-style:italic;font-weight:700;src:local('Libre Franklin Bold Italic'),local('LibreFranklin-BoldItalic'),url(http://fonts.gstatic.com/s/librefranklin/v4/jizGREVItHgc8qDIbSTKq4XkRiUa4442m1npiA.ttf) format('truetype')}@font-face{font-family:'Libre Franklin';font-style:normal;font-weight:300;src:local('Libre Franklin Light'),local('LibreFranklin-Light'),url(http://fonts.gstatic.com/s/librefranklin/v4/jizAREVItHgc8qDIbSTKq4XkRi20-SI0q14.ttf) format('truetype')}@font-face{font-family:'Libre Franklin';font-style:normal;font-weight:400;src:local('Libre Franklin'),local('LibreFranklin-Regular'),url(http://fonts.gstatic.com/s/librefranklin/v4/jizDREVItHgc8qDIbSTKq4XkRiUf2zI.ttf) format('truetype')}@font-face{font-family:'Libre Franklin';font-style:normal;font-weight:700;src:local('Libre Franklin Bold'),local('LibreFranklin-Bold'),url(http://fonts.gstatic.com/s/librefranklin/v4/jizAREVItHgc8qDIbSTKq4XkRi2k_iI0q14.ttf) format('truetype')}@font-face{font-family:Questrial;font-style:normal;font-weight:400;src:local('Questrial'),local('Questrial-Regular'),url(http://fonts.gstatic.com/s/questrial/v9/QdVUSTchPBm7nuUeVf70viFg.ttf) format('truetype')} html{font-family:sans-serif;-webkit-text-size-adjust:100%;-ms-text-size-adjust:100%}body{margin:0}footer,nav{display:block}a{background-color:transparent}a:active,a:hover{outline:0}h1{margin:.67em 0;font-size:2em}input{margin:0;font:inherit;color:inherit}input::-moz-focus-inner{padding:0;border:0}input{line-height:normal} @media print{*,:after,:before{color:#000!important;text-shadow:none!important;background:0 0!important;-webkit-box-shadow:none!important;box-shadow:none!important}a,a:visited{text-decoration:underline}a[href]:after{content:" (" attr(href) ")"}a[href^="#"]:after{content:""}.navbar{display:none}} *{-webkit-box-sizing:border-box;-moz-box-sizing:border-box;box-sizing:border-box}:after,:before{-webkit-box-sizing:border-box;-moz-box-sizing:border-box;box-sizing:border-box}html{font-size:10px;-webkit-tap-highlight-color:transparent}body{font-family:"Helvetica Neue",Helvetica,Arial,sans-serif;font-size:14px;line-height:1.42857143;color:#333;background-color:#fff}input{font-family:inherit;font-size:inherit;line-height:inherit}a{color:#337ab7;text-decoration:none}a:focus,a:hover{color:#23527c;text-decoration:underline}a:focus{outline:thin dotted;outline:5px auto -webkit-focus-ring-color;outline-offset:-2px}h1{font-family:inherit;font-weight:500;line-height:1.1;color:inherit}h1{margin-top:20px;margin-bottom:10px}h1{font-size:36px}ul{margin-top:0;margin-bottom:10px}.container{padding-right:15px;padding-left:15px;margin-right:auto;margin-left:auto}@media (min-width:768px){.container{width:750px}}@media (min-width:992px){.container{width:970px}}@media (min-width:1200px){.container{width:1170px}}.row{margin-right:-15px;margin-left:-15px}.col-lg-4,.col-md-4,.col-sm-4,.col-xs-12{position:relative;min-height:1px;padding-right:15px;padding-left:15px}.col-xs-12{float:left}.col-xs-12{width:100%}@media (min-width:768px){.col-sm-4{float:left}.col-sm-4{width:33.33333333%}}@media (min-width:992px){.col-md-4{float:left}.col-md-4{width:33.33333333%}}@media (min-width:1200px){.col-lg-4{float:left}.col-lg-4{width:33.33333333%}}.collapse{display:none}.dropdown{position:relative}.nav{padding-left:0;margin-bottom:0;list-style:none}.nav>li{position:relative;display:block}.nav>li>a{position:relative;display:block;padding:10px 15px}.nav>li>a:focus,.nav>li>a:hover{text-decoration:none;background-color:#eee}.navbar{position:relative;min-height:50px;margin-bottom:20px;border:1px solid transparent}@media (min-width:768px){.navbar{border-radius:4px}}@media (min-width:768px){.navbar-header{float:left}}.navbar-collapse{padding-right:15px;padding-left:15px;overflow-x:visible;-webkit-overflow-scrolling:touch;border-top:1px solid transparent;-webkit-box-shadow:inset 0 1px 0 rgba(255,255,255,.1);box-shadow:inset 0 1px 0 rgba(255,255,255,.1)}@media (min-width:768px){.navbar-collapse{width:auto;border-top:0;-webkit-box-shadow:none;box-shadow:none}.navbar-collapse.collapse{display:block!important;height:auto!important;padding-bottom:0;overflow:visible!important}}.container>.navbar-collapse{margin-right:-15px;margin-left:-15px}@media (min-width:768px){.container>.navbar-collapse{margin-right:0;margin-left:0}}.navbar-nav{margin:7.5px -15px}.navbar-nav>li>a{padding-top:10px;padding-bottom:10px;line-height:20px}@media (min-width:768px){.navbar-nav{float:left;margin:0}.navbar-nav>li{float:left}.navbar-nav>li>a{padding-top:15px;padding-bottom:15px}}.navbar-default{background-color:#f8f8f8;border-color:#e7e7e7}.navbar-default .navbar-nav>li>a{color:#777}.navbar-default .navbar-nav>li>a:focus,.navbar-default .navbar-nav>li>a:hover{color:#333;background-color:transparent}.navbar-default .navbar-collapse{border-color:#e7e7e7}.clearfix:after,.clearfix:before,.container:after,.container:before,.nav:after,.nav:before,.navbar-collapse:after,.navbar-collapse:before,.navbar-header:after,.navbar-header:before,.navbar:after,.navbar:before,.row:after,.row:before{display:table;content:" "}.clearfix:after,.container:after,.nav:after,.navbar-collapse:after,.navbar-header:after,.navbar:after,.row:after{clear:both}.pull-left{float:left!important}@-ms-viewport{width:device-width}.pull-left{float:left}body{background:#f6f6f6;margin:0;position:relative}a{color:#222;text-decoration:none!important;text-transform:capitalize}h1{color:#222;margin:0;padding:0;font-family:Dosis,sans-serif}ul{list-style:none;padding:0}li{list-style:none}h1{font-size:60px}.clearfix:after{content:'';clear:both;display:block}.site-branding a{color:#5a679e}.navbar-default .navbar-nav>li>a,.site-branding a{text-transform:uppercase}.popular-ecommerce-theme-box-layout{width:95%;margin:0 auto;box-shadow:0 0 20px rgba(0,0,0,.3)}.navbar{margin-bottom:0;background:#222;border-radius:0}.navbar-default{border:none}.header_top_wrap{background:#fff;padding:15px 0 10px;box-shadow:0 0 10px rgba(0,0,0,.2)}.navbar-header{margin:0}.navbar-default .navbar-nav>li>a{font-size:16px;color:#fff}.navbar-default .navbar-nav>li>a:hover{color:#626ea3}.navbar-nav>li{position:relative}.site-branding{text-align:center;margin:0;padding:20px 0 0}.site-branding h1.site-title{margin:0;font-size:inherit}.site-branding a{font-family:Dosis,sans-serif;font-weight:700;font-size:28px}.nav>li>a:focus,.nav>li>a:hover{background:#333}.header_top_wrap .search{float:left}.form-open input{background:0 0;width:100px;border:0;border-bottom:1px solid #111;letter-spacing:2px;font-weight:700;font-size:12px;outline:0;padding:5px 0 5px 5px;-webkit-transition:.5s all cubic-bezier(.55,0,.1,1);transition:.5s all cubic-bezier(.55,0,.1,1)}.header_top_wrap .search input:focus{width:200px}.header_top_wrap .search{margin:20px 0 0}.header_top_wrap .search a{font-size:16px}footer{background:#fff}.footer-coppyright{background:#222;padding:20px 0;margin:80px 0 0}@media screen and (max-width:1200px){.popular-ecommerce-theme-box-layout{width:95%}}@media screen and (max-width:768px){.header_top_wrap .search{float:none;display:block;text-align:center;margin-bottom:20px}.header_top_wrap{padding:0}.footer-coppyright{text-align:center}footer{padding:20px 0}.popular-ecommerce-theme-box-layout{width:100%}}</style>
</head>
<body class="woocommerce-no-js hfeed popular-ecommerce-theme-box-layout columns-3">
<div class="site" id="page">
<div>
<div class="header-wrap-2" id="header-wrap">
<div class="header_top_wrap">
<div class="container">
<div class="row">
<div class="col-lg-4 col-md-4 col-sm-4 col-xs-12">
<div class="search">
<a href="#">
<form action="#" class="form-open clearfix" method="GET" name="myform">
<input class="searchbox" maxlength="128" name="s" placeholder="Search..." type="text" value=""/>
<input name="post_type" type="hidden" value="product"/>
</form>
</a>
</div>
</div>
<div class="col-lg-4 col-md-4 col-sm-4 col-xs-12">
<div class="site-branding">
<h1 class="site-title"><a href="#" rel="home">{{ keyword }}</a></h1>
</div>
</div>
</div>
</div>
</div>
<div id="header-section">
<nav class="primary-menu style-4 navbar navbar-default " id="primary-menu" role="navigation">
<div class="navbar-header">
<div class="container">
<div class="collapse navbar-collapse pull-left" id="bs-example-navbar-collapse-1">
<ul class="nav dropdown navbar-nav default-nav-menu" id="menu-primary-menu"><li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-home menu-item-2639" id="menu-item-2639"><a href="#">Home</a></li>
<li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-2387" id="menu-item-2387"><a href="#">About</a></li>
<li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-2400" id="menu-item-2400"><a href="#">My account</a></li>
<li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-2388" id="menu-item-2388"><a href="#">Contact Us</a></li>
</ul> </div>
</div>
</div>
</nav>
</div>
</div>
<div class="" id="content">
{{ text }}
<br>
<br>
{{ links }}
<footer class="ostore-footer">
<div class="footer-coppyright">
<div class="container">
<div class="row" style="text-align:center;color:#FFF">
{{ keyword }} 2020
</div>
</div>
</div>
</footer>
</div>
</div></div></body>
</html>";s:4:"text";s:9987:"<p>Label angles as right, obtuse or acute. Then you’ll almost certainly use CPCTC on the line right after you prove triangles congruent. Try to figure out how to get from the givens to the prove conclusion with a plain English, commonsense argument before you worry about how to write the formal, two-column proof. What follows are over three dozen of the most important geometry formulas, theorems, properties, and so on that you use for calculations. This page contains links to free math worksheets for Basic Geometry problems. Horizontal line: y = b, where b is the y -intercept. You can also use this strategy to figure out what reason to use in the first place. Look for congruent triangles (and keep CPCTC in mind). One Dad. . Draw new radii to important points on the circle, but don’t draw a radius that goes to a point on the circle where nothing else is happening. Now let us discuss the basic concepts … Mark Ryan is the founder and owner of The Math Center in the Chicago area, where he provides tutoring in all math subjects as well as test preparation. Look for parallel lines in the proof’s diagram or in the givens. %�쏢 Successfully understanding and studying geometry involves using strategies for your geometry proofs; knowing important equations; and being able to identify commonly used geometry symbols. These geometry worksheets require students to identify and name basic quadrilaterals, triangles and polygons. The geometry worksheets in this section start out with applying basic addition and subtraction skills to determine supplementary and complementary angles. Before you give up on a proof, put whatever you understand down on paper. Angles. 1 Introductionto BasicGeometry 1.1 EuclideanGeometry andAxiomatic Systems 1.1.1 Points, Lines, and Line Segments Geometry is one of the oldest branchesof mathematics. For example, we refer to the following as "point A" (read “point A”) Line – a collection of points along a straight path that extends endlessly in both … Chapter 1 Basic Geometry. Four daughters. Try to find isosceles triangles. If you find any, you’ll very likely use the if-sides-then-angles or the if-angles-then-sides theorem somewhere in the proof. During the game plan stage, it’s sometimes helpful to make up arbitrary lengths for segments or measures for angles. How to find the midpoint of a segment If a square has an area of 49 ft2, what is the length of one of its sides? Watch this video to review how to find the distance between two points. Geometry is one of the first topics where basic arithmetic is applied to more advanced mathematical concepts. Includes line shapes that imply intersection. Basic Geometric Terms Definition Example Point – an exact location in space. </p> <p>How to find the distance between two points (this is the same as finding the length of a segment). Mark is the author of Calculus For Dummies, Calculus Workbook For Dummies, and Geometry Workbook For Dummies. of … p"��S���~�!VP!�Z��]���^�#������1��sщPl���-&�P�f.�h쬄���\q�W`^�FQ�i(%���6 All the ideas in the if clause appear in the statement column somewhere above the line you‘re checking. Linear algebra is one of the most applicable areas of mathematics. After looking at the prove conclusion, make a guess about the reason for that conclusion. Worksheets to calculate radius from diameter, diameter from radius, or radius and diameter from area or circumference. The most commonly used geometry symbols and their meanings are. It is used by the pure mathematician and by the mathematically trained scien-tists of all disciplines. Knowing how to write two-column geometry proofs provides a solid basis for working with theorems. Use all the givens. Try putting each given down in the statement column and writing another statement that follows from that given, even if you don’t know how it’ll help you. It is represented by a dot. </p> <p>While these worksheets a suitable for estimating common angle dimensions, some of these worksheets can also be used as practice for measuring angles with a protractor (the correct angle measurement is given in the answer key for each geometry worksheet). Practicing these strategies will help you write geometry proofs easily in no time: Make a game plan. n�V>�|6�b0��d�C�� Doing a proof is like communicating with a computer: The computer won’t understand you unless every little thing is precisely spelled out. A point has no dimension. Optionally estimate or use a protractor to measure the actual angles. Twitter Facebook Geometry worksheets with subtraction problems for finding complementary angles (Angles whose sum is 90 degrees). … Version 3.2 Page 8 of 82 August 28, 2018. x��]Y�$�q��Xr���(��Ԗ�n�S��x5`Л��@�i�%-� The basic geometry worksheets in this section cover a number of basic areas of knowledge in this deep section of mathematics. It’s quite remarkable how often putting something on paper triggers another idea, then another, and then another. —John Tate 5.1 Why Projective Spaces? Work backward. Click one of the buttons below to see all of the worksheets in each set. Glance at the proof diagram and look for all isosceles triangles. In diagrams, try to find all pairs of congruent triangles. 1 Introductionto BasicGeometry 1.1 EuclideanGeometry andAxiomatic Systems 1.1.1 Points, Lines, and Line Segments Geometry is one of the oldest branchesof mathematics. The concepts of angular measurement, complementary and suplementary angles, measurement of angles within triangles, the calculator of area of shapes (including circles) are all a promising playground for applying the math skills learned at early stops on a students mathematical journey. </p> <p>Geometry book authors don’t put irrelevant givens in proofs, so ask yourself why the author provided each given. Give two other names … If you get stuck, jump to the end of the proof and work back toward the beginning. The single idea in the then clause also appears in the statement column on the same line. 5 0 obj </p> <p>Look for radii and draw more radii. <> Before you know it, you’ve finished the proof. �F�W�8bz��|�,)Vi�o�?�J��������{`Oؽ;߇4�2z��⠁J��34:ݔ\pG'��:���>�5Y��V-@�W�Rn��V���-��{H��"(�3���O�-�@c+9� :��l�����)� year students, specializing in mathematics. Let's define them. Circles are a unique species of geometric shape, and the geometry worksheets in this section introduce the basic equations for calculating area and circumference of a circle. Basic Mathematics - Serge Lang.pdf Report ; Share. Angle introduction: Angles Measuring and drawing angles: Angles Angles in circles: Angles. </p> <p>Then use your if-then logic to figure out the second-to-last statement (and so on). You can also use the 'Worksheets' menu on the side of this page to find worksheets on other math topics. One area of knowledge in geometry is simple identification of shapes, and learning the names for shapes with a certain number of sides is a rote activity. Vertical line: x = a, where a is the x -intercept. Do something. Basics of Geometry PDF Geometry is a very important topic the aspirants who are preparing for the SSC, IBPS, SBI exams. Doing the math with those numbers (addition, subtraction, multiplication, or division) can help you understand how the proof works. If you find any, you’ll probably use one or more of the parallel-line theorems. Look for parallel lines. Problems that explore the relationships between the diameter and the radius are also provided, giving plenty of opportunity to explore the relationships between these values and pi and the area and circumference of a circle. </p> <p>The distance between two points can be generalized to “n” dimensions by successive use of the Pythagorean Theorem in multiple dimensions. I can measure segments and angles. Two sides of a triangle are 7 and ind the third side. Geometry is one of the first topics where basic arithmetic is applied to more advanced mathematical concepts. Chapter Success Criteria: I can name points, lines, and planes. Geometry worksheets with subtraction roblems for finding supplementary angles (Angles whose sum is 180 degrees). 4 Chapter 1 Basics of Geometry 1.1 Lesson Collinear points are points that lie on the same line.Coplanar points are points that lie in the same plane. For triangles, there are geometry worksheets that help memorize the types of triangles (equilateral, right, isosceles, as well as acute versus obtues.) 1 Basics of Geometry Alamillo Bridge (p 53) SEE the Big Idea Soccer (p. 49) Shed (p 33) Skateboard (p 20) Su lfu r H e x a fluo ride (p. 7) Chapter Learning Target: Understand basics of geometry. Proving one or more of these pairs of triangles congruent (with SSS, SAS, ASA, AAS, or HLR) will likely be an important part of the proof. BASIC PROBLEMS OF GEOMETRY 1. If you get stumped while working on a geometry problem and can’t come up with a formula, this is the place to look. 9,393 worksheets... and counting. Think like a computer. Properties of Rhombuses, Rectangles, and Squares, Interior and Exterior Angles of a Polygon, Identifying the 45 – 45 – 90 Degree Triangle. Geometry Distance Formula in “n” Dimensions. �h-C�R��!��+S�����*@�M!���c�8���W
S�.��S�����!N6��y��k� ��C�b��A�8%�������Z�BbJ�O�u���}��6ڈ���r����:?�7� For quadrilaterals, being able to differentiate between a parallelogram (including the special case of the square), rhombus and a trapezoid are important skills. </p> <p>Basic geometry Basic geometry is the study of points, lines, angles, surfaces, and solids.The study of this topic starts with an understanding of these. </p>";s:7:"keyword";s:19:"geometry basics pdf";s:5:"links";s:3182:"<a href="http://digiprint.coding.al/site/page.php?tag=41e064-goblin-encounter-ideas">Goblin Encounter Ideas</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-alter-bridge---broken-wings-chords">Alter Bridge - Broken Wings Chords</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-oakwood-cemetery-siler-city%2C-nc">Oakwood Cemetery Siler City, Nc</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-terror-eyes-balloon">Terror Eyes Balloon</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-captain-pugwash-characters">Captain Pugwash Characters</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-examples-of-generosity-and-hospitality-in-beowulf">Examples Of Generosity And Hospitality In Beowulf</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-2004-six-nations-fixtures">2004 Six Nations Fixtures</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-goodyear-wrangler-trailrunner-at-reviews">Goodyear Wrangler Trailrunner At Reviews</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-brother-embroidery-machine-prices">Brother Embroidery Machine Prices</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-st-brendan-school-calendar">St Brendan School Calendar</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-oakwood-cemetery-siler-city%2C-nc">Oakwood Cemetery Siler City, Nc</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-mitchell-starc-family">Mitchell Starc Family</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-goodyear-wrangler-trailrunner-at-reviews">Goodyear Wrangler Trailrunner At Reviews</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-diamond-certified-songs">Diamond Certified Songs</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-bounty-rum-fiji">Bounty Rum Fiji</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-highland-local-school-district">Highland Local School District</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-the-hyper-cruzer-meaning-in-malayalam">The Hyper Cruzer Meaning In Malayalam</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-bounty-rum-fiji">Bounty Rum Fiji</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-hm-to-dam">Hm To Dam</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-what-is-national-identity">What Is National Identity</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-heat-vs-bucks-game-2">Heat Vs Bucks Game 2</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-mercedes-gla-2020-price">Mercedes Gla 2020 Price</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-make-sentence-with-imply">Make Sentence With Imply</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-what-does-of-mean-on-tiktok">What Does Of Mean On Tiktok</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-mercedes-gla-2020-price">Mercedes Gla 2020 Price</a>,
<a href="http://digiprint.coding.al/site/page.php?tag=41e064-turkey-vulture-predators">Turkey Vulture Predators</a>,
";s:7:"expired";i:-1;}
Mini Shell