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210 lines
7.4 KiB
HTML
210 lines
7.4 KiB
HTML
<!doctype html>
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<html lang="en">
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<!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/angles.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:43:07 GMT -->
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<head>
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<meta charset="UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Angles - Acute, Obtuse, Straight and Right</title>
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<meta name="description" content="An angle measures the amount of turn">
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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</script>
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</head>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="index.html"><img src="images/style/logo.svg" alt="Math is Fun"></a></div>
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<div id="search" role="search"></div>
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<div id="menuSlim" class="menu"></div>
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<div id="menuTiny" class="menu"></div>
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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Angles</h1>
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<p class="center"><i><b>An angle measures the amount of turn</b></i></p>
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<h2>Names of Angles</h2>
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<h3>As the Angle Increases, the Name Changes:</h3>
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<p class="center"><img src="geometry/images/angle-types.svg" alt="types of angle" height="83" width="527" ></p>
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<div class="simple">
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<th>Type of Angle</th>
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<th>
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Description</th>
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</tr>
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<tr>
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<td><a href="acute.html">Acute Angle</a></td>
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<td> is less than 90°</td>
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</tr>
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<tr>
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<td><a href="rightangle.html">Right Angle</a></td>
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<td>is 90° exactly</td>
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</tr>
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<tr>
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<td><a href="obtuse.html">Obtuse Angle</a></td>
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<td>is greater than 90° but<br>
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less
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than 180°</td>
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</tr>
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<tr>
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<td><a href="geometry/straight-angle.html">Straight Angle</a></td>
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<td> is 180° exactly</td>
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</tr>
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<tr>
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<td><a href="reflex.html">Reflex Angle</a></td>
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<td>is greater than 180°</td>
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</tr>
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<tr>
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<td><a href="geometry/full-rotation.html">Full Rotation</a></td>
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<td>is 360° exactly</td>
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</tr>
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</tbody></table>
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</div>
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<p>Try It Yourself:</p>
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<div style="width: 400px; margin:auto;">
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<div class="script" style="height: 320px;">
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geometry/images/angle-drag.js
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</div> </div>
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<div class="simple">
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td>
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<h3>In One Diagram</h3>
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<p>This diagram might make it easier to remember:</p>
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<p>Also: <b>Acute, Obtuse</b> and <b>Reflex</b> are in alphabetical order. </p></td>
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<td><img src="geometry/images/angle-types-together.svg" alt="angle types together" height="174" width="193" ></td>
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</tr>
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</tbody></table>
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</div>
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<p class="center"><img src="geometry/images/acute-text.svg" alt="acute" height="83" width="204" ><br>
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Also: the letter "A" has an acute angle.</p>
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<h2>Be Careful What You Measure</h2>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr style="text-align:center;">
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<td><img src="geometry/images/angle-obtuse-vs-reflex.svg" alt="angle obtuse vs reflex" height="141" width="167" ></td>
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</tr>
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<tr style="text-align:center;">
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<td>The smaller angle is an <b>Obtuse Angle</b>,<br>
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but the larger angle is a <b>Reflex Angle</b></td>
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</tr>
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</tbody></table>
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<p>So when naming the angles make sure
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that you know <b>which angle is being
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asked for</b>!</p>
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<h2>Positive and Negative Angles</h2>
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<p>When measuring from a line:</p>
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<ul>
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<li>a <b>positive</b> angle goes <a href="geometry/clockwise-counterclockwise.html">counterclockwise</a> (opposite direction that clocks go)</li>
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<li>a <b>negative</b> angle goes clockwise</li>
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</ul>
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<p class="center"><img src="geometry/images/positive-negative-angle.svg" alt="positive negative angle" height="126" width="285" ></p>
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<div class="example">
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<h3>Example: −67°</h3>
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<p class="center"><img src="geometry/images/negative-67-angle.svg" alt="negative 67 degrees" height="84" width="111" ></p>
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</div>
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<p> </p>
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<p style="float:left; margin: 0 0 5px 10px;"><img src="geometry/images/angle.svg" alt="angle" height="158" width="135" > </p>
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<h2>Parts of an Angle</h2>
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<p>The corner point of an angle is called the <b>vertex</b></p>
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<p>And the two straight sides are called <b>arms</b></p>
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<p>The angle is the <i>amount of turn</i> between each arm.</p>
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<p> </p>
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<h2>How to Label Angles</h2>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="geometry/images/angles.svg" alt="angles" height="195" width="186" ></p>
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<p>There are two main ways to label angles:</p>
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<p>1. give the angle a name, usually a lower-case letter like <b>a</b> or <b>b</b>, or sometimes a Greek letter like <span class="times">α</span> (alpha) or <b>θ</b> (theta)</p>
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<p>2. or by the three letters on the shape that define the angle, with the middle letter being where the angle actually is (its vertex).</p>
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<p>Example angle "<b>a</b>" is "<b>BAC</b>", and angle "<b>θ</b>" is "<b>BCD</b>"</p>
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<p> </p>
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<div class="questions">800, 801, 802, 803, 804, 805, 3276, 3277, 3278, 3279</div>
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<div class="related">
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<a href="geometry/degrees.html">Degrees (Angle)</a>
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<a href="geometry/parallel-lines.html">Parallel Lines and Pairs of Angles</a>
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<a href="geometry/supplementary-angles.html">Supplementary Angles</a>
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<a href="geometry/complementary-angles.html">Complementary Angles</a>
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<a href="geometry/interior-angles.html">Interior Angles</a>
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<a href="geometry/exterior-angles.html">Exterior Angles</a>
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<a href="geometry/index.html">Geometry Index</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<div id="adend" class="centerfull noprint"></div>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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</div>
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</body>
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<!-- #EndTemplate -->
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