Sandy GadeNew York, Alabama, US,

September 4, 2013

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- Mathematics > General
- Mathematics > Geometry

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This folder contains resources on geometry to be used for this project.

<div align="justify" width="100%">This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - <a href="http://www.winpossible.com/lessons/Geometry_Getting_Started_-_Areas_of_Polygons_and_Circles.html">
Getting Started - Area of Polygons and Circles</a>.<br><br>
This mini-lesson content introduces and walks you through the basic concepts of area of polygons. You'll learn it with the help of some examples, practice questions and quizzes with solution, using video explanations by the instructor that brings in an element of real-class room experience. The area of a figure measures the size of the region enclosed by the figure. This is usually expressed in terms of some square unit i.e. square meters, square inches, or square kilometers etc. To find the area of a square, we count the squares inside the closed figure. But to make it simpler, you can use area formulas instead. Every polygon has a formula for finding its area. For example, if we are given the base of the triangle (b) and the perpendicular height (h); to calculate area use the formula: <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1/2 x base(b) x height(h)
<br><br>
<p>This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can <a href="http://www.winpossible.com/Course/Class_SubjectDetails.aspx">buy our online course in Geometry</a> by clicking here.</p></div>

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<div align="justify" width="100%">This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - <a href="http://www.winpossible.com/lessons/Geometry_Perimeter_of_a_Polygon.html">Perimeter of a Polygon</a>.<br><br>
In this section; with the help of some examples and solution, we'll explore how to calculate the perimeter of the polygons. The perimeter is one dimensional and measured in linear units such as feet, meters or similar units. To find the perimeter of a polygon, follow these simple steps:
<ul class="minus">
<li>Measure the length of each side of the shape using the same unit of measurement.</li>
<li>Add all the lengths of each side together.</li>
<li>Write the answer using the same unit of measurement or an equivalent unit of measurement.</li>
</ul>
For example, if '<i>P</i>' is the perimeter, '<i>S</i>' is the length of each side and '<i>n</i>' stands for the number of sides of the polygon:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <i>P</i> = <i>S</i><sub>1</sub>+<i>S</i><sub>2</sub>+<i>S</i><sub>3</sub>+....+<i>S</i><sub>n</sub><br>
The perimeter of a pentagon <i>ABCDE</i> with each side measuring 3cm, is 15cm. The perimeter of a rectangle is the distance around the outside of the rectangle. It has four sides and opposite sides are congruent. If the length of a rectangle is <i>l</i> and the width is <i>w</i>, then the perimeter can be calculated by <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<i>P</i> = <i>l</i> + <i>w</i> + <i>l</i> + <i>w</i> <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; or<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <i>P</i> = 2(<i>l</i> + <i>w</i>) <br>
E.g., to calculate the perimeter of the rectangle <i>ABCD</i>, having length <i>CD</i> = 9 cm and width <i>BC</i> = 4 cm, substitute 9 for <i>l</i> and 4 for <i>w</i> in above expression. It comes to <i>P</i> = 2(9 + 4), and that gives 26cm.
similarly, if a is the measure of the side of a square, then perimeter is given by <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<i>P</i> = <i>a</i> + <i>a</i> + <i>a</i> + <i>a</i> = 4<i>a</i> <br>
for example, if each side of a square is 10 cm, then the perimeter is <i>P</i> = 4 × 10, which works out to 40cm.
<br><br>
<p>This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can <a href="http://www.winpossible.com/Course/Class_SubjectDetails.aspx">buy our online course in Geometry</a> by clicking here.</p></div>

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<div align="justify" width="100%">This is a part of the interactive online tutorial for Geometry learning with the help of audio visual lessons. It has been created to help you learn the concept, perception with explanations and includes solution to practice questions from the topic of ‘Basic constructions’. The mini-lessons here include: Getting started, Angle Bisectors and Perpendicular Bisectors, Construct Parallel and Perpendicular Lines, Midpoint of a Line Segment. </div></p>

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This video shows how to read and map points on a coordinate plane.

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<div align="justify" width="100%">This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - <a href="http://www.winpossible.com/lessons/Geometry_Midpoint_and_Congruence.html">Midpoint and Congruence</a>.<br><br>
In this section you'll learn the concept of congruence and midpoint of line segments and explore more about it. Midpoint of a line segment is a point that divides it into two equal parts E.g. if <i>M</i> divides the line segment <i>PQ</i> into two equal parts; it is midpoint of this line segment.
Only a line segment can have a midpoint. A line cannot since it goes on indefinitely in both directions, and a ray cannot because it has only one end, and hence no midpoint. The congruence relates to geometric figures that have the same size and shape. For example: Two triangles are congruent, if their sides are of the same length and their internal angles are of the same measure.
<br><br>
<p>This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can <a href="http://www.winpossible.com/Course/Class_SubjectDetails.aspx">buy our online course in Geometry</a> by clicking here.</p></div>

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A collection of problem sets involving Triangles and Congruence.

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<div align="justify" width="100%">This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - <a href="http://www.winpossible.com/lessons/Geometry_Getting_Started_-_Congruence_and_Similarity.html">Getting Started - Congruence and Similarity</a>.<br><br>
This mini-lesson introduces and walks you through the basic concepts of congruency and similarity. You'll learn it with the help of some examples and practice questions with solution, using video explanations and own handwriting by the instructor that brings in an element of real-class room experience.<br>
Congruence means that they are exactly the same and similarity means that they look the same, but are of different sizes. E.g. two triangles are congruent if everything about them is the same: angles, side lengths, etc. In case you have a small triangle and a big triangle, but they have the same angles, they are similar – they are not the same, but they share many properties. You will also find explanation of determining unknown dimensions or angles without measuring.
<br><br>
<p>This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can <a href="http://www.winpossible.com/Course/Class_SubjectDetails.aspx">buy our online course in Geometry</a> by clicking here.</p></div>

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