All+Sorts+of+Shapes

__All Sorts of Shapes__ By: Allisyn S.  Published 2012 This book is dedicated to… All of my friends and teachers who are about to write awesome books about colorful, wonderful shapes. About the author: Allisyn S. is an a eighth grade student at Windham Middle School. She is 13 years old. She has two brothers and three animals. For fun, Allisyn enjoys hanging out with friends & family, going outside, and listening to music.

2. Squares, Squares and more squares. In one land called the Quadrilateral City, it is all made up of squares. There are small squares, big squares, yellow squares and orange squares. There are also other types of squares that don’t look like each other and they are called rectangles, trapezoids, Rhombus, and parallelograms. Most squares have four sides that is why their city is called Quadrilateral City because Quad means four. One cool thing about squares is that if you turn it on either side it looks the same all the way around. That’s because the squares have four equal sides and four equal angles. A square has the properties of a rhombus and a rectangle. Its sides intersect at 90 degrees and all four sides are congruent.
 * 1) It all started…with just circles. One circle, two circles, a whole family of circles. There were small circles, and big circles, there were green circles and red circles. They all grew up in round’ town. Where one family had a circle and then that circle had a circle and the town began to grow. No one knew about Round’ Town except for the circles. Being a circle is fun. You’re round and you have an infinite amount of sides. Every body thinks circles don’t have any sides but if you look at it very closely there are actually little sides. You could think of a circle as a hula hoop.

3. 1,2,3….I can count to three because I have three sides, can you guess what I am? You’re right! I am a triangle, and I have 3 sides. One on the left, one on the right and then one on the bottom. There are three types of triangles which are Equilateral, Isosceles, and a scalene. Triangles can also have names that tell you the type of angle is inside there can be an acute angle, right angle, and an obtuse angle. The three angles of a triangle always add up to 180 degrees. Triangles are a very unique shape!



4. Guess what I am? I look like a house, I have five intersecting sides and a famous building is named after me. Can you guess what I am now? You got it right, I am a pentagon. A pentagon’s sides are all the same length and all its angles are equal in size too, which is very unique. The sum of the angles of a pentagon is 540 degrees. There are two types of pentagons which is an irregular pentagon and a regular pentagon. The irregular pentagon still has five sides but is much taller and skinnier than a regular pentagon.Another interesting fact about the pentagon is that it’s a two-dimensional figure.

5. Four sided, has exactly one pair of parallel sides, the sum of the angles is 360 degrees. Guess what shape I am? I’m a trapezoid…I have two parallel lines and they are called the base, then the two non parallel lines are called the legs. A trapezoid is a closed plane figure that has four line segments/lines. The area of the trapezoid is equal to half the product of altitude and the sum of the bases. The given formula is: area=a __ (b1+b2). __  2  The two b’s are the two bases, then the a represents the altitude. If two sides aren’t parallel in a trapezoid but are equal in length then it is called an Isosceles Trapezoid.



6. Ten sided figure in which the sum of the angles is 1440 degrees. I’m a Decagon. There are two types of Decagons for example there are regular and irregular decagons. In a decagon, all the sides are the same length which means they are congruent. Also all the interior angles are the same size too. To find the measure of the angles you use this equation: 1440 (the sum of the angles) divided by the number of sides which is ten. So, the measure of the angle of a regular decagon is 144 degrees. Some more facts about a Decagon is that it’s a polygon and it’s also a flat sided shape with straight sides.

7. I’m a parallelogram. I am a four-sided polygon with two pairs of parallel sides. The sum of my angles is 360 degrees. It’s funny but the opposite sides of my shape are equal in length, the opposite angles are the same (congruent) and then the diagonals bisect each other. There are about 7 properties to a Parallelogram and that is the base, the altitude(height), area, perimeter, its opposite sides, diagonals, and lastly interior angles. The square is the most obvious parallelogram because it has two sets of parallel sides. A quadrilateral with equal sides is called a rhombus, and a parallelogram with all right angles is called a rectangle. To get the area of a parallelogram you multiply base time height. A= b x h However the base and the height must be perpendicular. 8. I am a shape whose base is a circle, and whose sides taper up to a point. A cone is a 3- Dimensional figure with a circular base that narrows toward a point, it looks much like an upside down ice-cream cone. A cone is also a 3D mathematical shape which lies on a plane and is limited by a closed curve on the plane called Directrix. A cone is a pyramid with a circular crossed section. The word “Cone” actually means “double cone” and in mathematical terms a double cone is a quadratic surface. Some other cool facts about a circular cone is that it is a solid and it has one vertex.