Math Shapes - Olivia

A Book About

Polygons

By Olivia Newell

Contents

Introduction .............1

Rectangle ................2

Rhombus .................3

Concave Pentagon ...........4

Obtuse Triangle .......5

Not A Polygon .........6

Citations ..................7

Index......................8

Introduction

This book is to inform you about the wonderful world of polygons. By reading this book you will learn about rectangles, rhombuses, a concave pentagon, an obtuse triangle, and what is not a polygon. This is a sixth grade math project at Hebron Academy.

I, Olivia Newell, have four brothers and one sister. I love to read, play soccer, and ride horses. I hope you learn something from my book!

Page 1

Rectangle A rectangle is a four-sided polygon. It is a very common shape and many things we use on a daily basis are rectangle shaped.

✴ A rectangle has two pairs of parallel sides. ✴A rectangle has four 90 degree angles whose sum is 360 degrees. ✴A rectangle is a quadrilateral. ✴ A rectangle has four vertices. ✴ A rectangle has four sides.

Page 2

Rhombus

A rhombus is a four sided polygon. It may also be called a diamond. Many objects we use often are rhombus shaped.

✴ A rhombus has two pairs of parallel sides. ✴ A rhombus has four acute angles. ✴ A rhombus has four equal sides. ✴ A square is a rhombus because it has four equal sides and two pairs of parallel sides. ✴ A rhombus is not a square.

Page 3

Concave Pentagon A concave pentagon is a five-sided figure that is concave. It is not commonly seen in everyday life.

✴ A concave pentagon has five angles. ✴ At least one diagonal has to connect outside of the figure. ✴ All the angles of the pentagon must add up to 540 degrees. ✴ A diagonal connects any two vertices that are not already connected. ✴ A concave pentagon is an irregular pentagon.

Page 4

Obtuse Triangle

An obtuse triangle is a triangle with an angle more than 90 degrees.

✴ An obtuse triangle must have one obtuse angle. ✴ There can only be one obtuse angle in an obtuse triangle. ✴ The obtuse angle must be more than 90 degrees. ✴ All obtuse triangles have two acute angles ✴ All the angles in the triangle add up to 180 degrees.

Page 5

Not A Polygon

Many people think that shapes are polygons when they are not. Here are a few examples of what is NOT a polygon.

✴ A polygon must have three or more sides. ✴ A polygon cannot have any round sides. ✴ A polygon must be a closed figure. ✴ A polygon’s lines can not touch anywhere but the vertices. ✴ A polygon must have three or more angles

Page 6

Citations

#1: http://etc.usf.edu/clipart/42600/42613/irregpent_42613_md.gif #2: http://www.learner.org/courses/learningmath/geometry/images/ session3/3a_not_polygon.gif  #3: http://i.imgur.com/D3YeC.jpg #4: http://www.elitecrafthomes.com/wp-content/uploads/2013/10/masonite-fiberglass-entrydoors-masonite-door-6panel-primed-smooth-fiberglass-entry-door-with-in-82648.jpg #5: http://store.storeimages.cdn-apple.com/4530/as-images.apple.com/is/image/AppleInc/aos/ published/images/i/ph/iphone6/plus/iphone6-plus-box-space-gray-2014? wid=478&hei=595&fmt=jpeg&qlt=95&op_sharpen=0&resMode=bicub&op_usm=0.5,0.5,0,0&icc Embed=0&layer=comp&.v=1411520743411 #6: http://www.unisourcesigns.com/wp-content/uploads/2014/05/D4971_CM_0035.jpg #7: http://moyermathandliteracy.weebly.com/uploads/2/4/6/5/24659074/5813985_orig.jpg #8: http://sweetclipart.com/multisite/sweetclipart/files/coat_hanger_black.png

#9: https://elgee18.files.wordpress.com/2011/06/whitehouseobtuse.jpg

#10: http://images.clipartpanda.com/hot-pink-crown-clip-art-tlwz8pmun9bgh5ls6o7.gif #11: https://c1.staticflickr.com/5/4143/4751986840_2bf016eb50.jpg #12: http://content.mycutegraphics.com/graphics/hearts/dark-pink-heart.png

Page 7

Index

Page 8