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<h1 class="center">Parallelogram</h1>
<p class="center"><i>(Jump to <a href="#Area">Area of a Parallelogram</a> or <a href="#Perimeter">Perimeter of a Parallelogram</a>)</i></p>
<p class="center">A <span class="center">Parallelogram</span> is a flat shape with opposite sides parallel and equal in length.</p>
<p class="center"><img src="images/parallelogram-angles.svg" alt="Parallelogram" height="" width=""></p>
<p class="center"></p>
<table align="center" width="83%" cellpadding="5" border="0">
<tbody>
<tr>
<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
<td>Opposite sides are <a href="../perpendicular-parallel.html">parallel</a></td>
</tr>
<tr>
<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
<td>
<p>Opposite sides are equal in length</p></td>
</tr>
<tr>
<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
<td>Opposite angles
are equal (angles <b>A</b> are the same, and angles <b>B</b> are the same)</td>
</tr>
<tr>
<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
<td>Angle <b>A</b> and angle <b>B</b> add up to 180°, so they are <a href="supplementary-angles.html">supplementary angles.</a></td>
</tr>
</tbody></table>
<p>Play with a <span class="center">Parallelogram</span>:</p>
<div class="script" style="height: 330px;">
images/geom-quad.js?mode=parallelogram
</div>
<p class="center large">NOTE: <a href="square.html">Squares</a>, <a href="rectangle.html">Rectangles</a> and <a href="rhombus.html">Rhombuses</a> are all
Parallelograms!</p>
<div class="example">
<p style="float:right; margin: 0 0 5px 10px;"><img src="images/rectangle-angles.svg" alt="Rectangle" height="113" width="158"></p>
<h3>Example:</h3>
<p>A <b>parallelogram</b> where all angles are right angles is a <b>rectangle</b>!</p>
</div>
<h2><a name="Area"></a>Area
of a<span class="center"> Parallelogram</span></h2>
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<td><img src="images/parallelogram-base-ht.svg" alt="parallelogram base and height" height="" width=""></td>
<td>&nbsp;</td>
<td>
<p>The Area is the <b>base times the height</b>:</p>
<p class="center larger">Area = b × h</p>
<p class="center">(<b>h</b> is at right angles to <b>b</b>)</p></td>
</tr>
</tbody></table>
<div class="example">
<h3>Example: A <span class="center">parallelogram</span> has a base of 6 m and is 3 m high, what is its Area?</h3>
<p>Area = 6 m × 3 m = <b>18 m<sup>2</sup></b></p>
</div>
<h2><a name="Perimeter"></a>Perimeter of a <span class="center">Parallelogram</span></h2>
<p>The Perimeter is the distance around the edges.</p>
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<td><img src="images/parallelogram-perim.svg" alt="parallelogram perimeter" height="" width=""></td>
<td>&nbsp;</td>
<td>
<p>The Perimeter is <b>2 times the (base + side length)</b>:</p>
<p class="center larger">Perimeter = 2(b+s)</p></td>
</tr>
</tbody></table>
<div class="example">
<h3>Example: A <span class="center">parallelogram</span> has a base of 12 cm and a side length of 6 cm, what is its Perimeter?</h3>
<p>Perimeter = 2 × (12 cm + 6 cm) = 2 × 18 cm = <b>36 cm</b></p>
</div>
<h2>Diagonals of a <span class="center">Parallelogram</span></h2>
<p style="float:left; margin: 0 10px 5px 0;"><img src="images/parallelogram-diameter-bisect.svg" alt="parallelogram diameter bisect" height="112" width="221"></p>
<p>The diagonals of a <span class="center">parallelogram</span> <a href="bisect.html">bisect</a> each other.</p>
<p>In other words the diagonals intersect each other at the half-way point.</p>
<div style="clear:both"></div>
<h2>Inside Any Quadrilateral</h2>
<p>And there is a <a href="parallelogram-in-quadrilateral.html">parallelogram in any quadrilateral</a>.</p>
<p>&nbsp;</p>
<div class="questions">9121, 9122, 9123, 9124, 9125, 9126, 9127, 9128, 9129, 9130</div>
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<a href="../quadrilaterals.html">Quadrilaterals</a>
<a href="index.html">Geometry Index</a>
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