Plane shapes

Plane Shapes

What is a plane shape? A plane shape is a closed, two-dimensional shape. Plane shapes vary according to the numbers of sides or vertices. A vertex is where two sides meet. If a draw a line from two vertices that are not next to each other this line would be called a diagonal.

 

 

There are many plane shapes and here is a list of several common plane shapes.

 A triangle is a plane shape with three sides and three vertices. Here is a list of some common triangles.

Scalene triangles have three different side lengths and three different angle measures

Isosceles triangles have at least two equal sides and two equal angle measures

Equilateral triangles have equal sides and angles.

 A rectangle is a shape with four sides and four vertices

A square is a rectangle in which all four sides are of equal length and create four ninety degree angles.

 A circle is a round shape that has no sides or corners.

A parallelogram has four sides, four vertices, and two parallel sides.

A quadrilateral is a plane shape with four sides, four vertices, and two diagonals. There are many types of quadrilaterals and check here for a chart of the quadrilateral family.

A rhombus has four sides, four vertices, and four equal sides.

A trapezoid has four sides, four vertices, and exactly one pair of parallel sides.

Polygons are plane shapes classified by the number of sides. The number of sides and vertices are equal in polygons.

Classifying polygons by the number of sides

3 triangle

4 quadrilateral

5 pentagon

6 hexagon

7 septagon

8 octagon

9 nonagon

10 decagon

12 dodecagon

n  n-gon

 

 

 

Common Triples

Common Triples Video

In this video you will....

Look at common triples associated with the pythagoren theorem

How to use common triples to find a missing leg of a right triangle

Examples of common triples that are frequently seen in Geometry

Common Triples

Hi welcome to MooMooMath. Today we are going to look at common triples which are associated with the Pythagorean Theorem. Here is a common triple., a three, four,  five which works in the Pythagorean theorem because 3 squared ( 9 ) plus four squared ( 16 ) equals 5 squared ( 25  16 + 9 equals 25 ) so we have the numbers three. Four and five which are a common triple. In the Pythagorean Theorem. Below it is a triangle with a side of 6 and a hypotenuse of 10 and an X as the unknown side of X if you will notice this shows you a common triple. So three and 6 are associated with each other so they are corresponding sides and if I double 3 I get 6 and if I double 5 I get 10. Therefore if I double 4 I get 8 so the missing side is 8 so this is just applying the Pythagorean Theorem triple to an actual problem. So what are the actual rules for doing this? So what you will do is take your common triplets and multiple each number by the same factor. So we have a three, four, and five and in the example we multiplied each side by two to get a six, eight, ten triangle. You can also go back and multiple 3, 4, 5 by three and get 9, 12. and 15. You get do that with 4 10 or a 40, 50 right triangle. So what are the common triples? Let me show you several of the common triples you will see. 3, 4, 5 and multiples of those. A 5, 12, 13 is also a common triple. Because 5 squared plus 12 squared equals 13 squared. 25 plus 144 equals 169. Here are three more common triples 7, 24, 25 the 8, 15, 17 and the 20, 21, 29. So those are common triples you can take and multiple by sides by common factors. So you can see how this is done. Since I showed you the 3, 4, 5 triple first this time I will use the 5, 12, and 13. So if I were to make a table of possible values I will just draw the 5, 12, and 13 on top and make a list. If I multiple by two I get 10, 24, and 26. And multiple by three I get 15 26, 39 and by 4 I get 20 48 and 52 and those would be our common triples of 5, 12, 13. Hope this was helpful 

Math Resource Page

Math Resource Page Video

Check out our new math resource page. I designed the resource page to be helpful for teachers and students. I currently teach Math at a public high school, and tried to think through what would help the teachers I work with, and the students I teach. Next, went blog stalking and checked out all the blogs of good teachers I know and tried to find out resources that they had attached to their blog. Here is a list of resources I hope will help you in your Math class.

First, I have a long list of applets. Applets are a graphical approach to math concepts. They are good for demonstrating algebraic, geometry, and calculus concepts. I tested each applet and made sure they worked.

Graph paper

I included five or six links to free graph paper. Some sites you can design the graph paper you want.

Calculators

I have several links to different types of online calculators. Some of the calculators are basic, other are scientific or graphing calculators.

Calculator Shortcuts and Instruction

I have a long list of short cuts, manuals, and instructions for the TI83, TI84, and the TI89. I tried to find sites that had pictures and illustrations

Classroom Help

These resources include many links that will help the student and teacher with projects, presentations, and other creative ways to present material. I work with a great and award winning media specialist and these are sites she recommends.

Math Sites

I found several sites that just have an amazing number of math links and resources. In fact one site has over 1000 links to work sheets, and lessons on math concepts.

Math Gift Shop

I have links to Math T-shirts, coffee mugs and other math related items that every math teacher or student would love to have. Even if you hate math you can always get your favorite math teacher a gift.

Please check out our Math Resource page here. Thanks and if you like it please share it with your friends.