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Master the Isosceles Triangle with these Seven Specific stages.


The Isosceles triangle, like the equilateral triangle is identified by its line lengths.
An Isoscoles triangle wil ALWAYS have two side lengths equal in length.
As with this stage of geometry your child should easily be able to distinguish whether two lines are equal in length or not. If they can't, you need to take them back to develop this skill.




The seven steps detailed bellow take you from basic identification all the way through to taking a detailed look at the theorems involving the isosceles triangle. These steps also include 'pit stops' to complete fun geometry projects and coloring sheets.

These are nice 'breathers' on the learning curve, but they are excellent ways of reinforcing the new knowledge in ways that your kid can get a real life, hands on approach to understanding the basic geometry concepts included.

Okay, so let's get started ...
identify triangles

Identify

How do we know a triangle is Isosceles??

An Isosceles trinagle is simply identified by its line lengths. If two sides are of equal length then it is an Isosceles, and that's it! However it is also necessary for your child to know another important attribute of this triangle. If it's two sides are equal in length, then its two base angles are also equal in size. In a math question, the given information may identify either the two base angles or the two sides as equal. In either case students have to identify the triangle as Isoscoles.
An Isoscoles triangle, can also be a Right triangle. This is called a Right Isoscoles Triangle.
Kindergarten math

Calculate Area and Perimeter

How to calculate the Area and Perimeter of an Isoscoles Triangle?





The Area of a this type of triangle is calculated the same way as EVERY triangle. It is always half the length of the base multiplied by the perpendicular height of the triangle, in this case, the perpendicular height is always the length of the vertical side of the triangle.
Ther Perimeter of ANY shape is simply the sum total of all the lengths of the shape - and a triangle is no different.
The perimeter of this shape is a + b + h




Kindergarten math

How to construct an Isoscoles Triangle

To complete this, you will need a ruler, pencil, compass and a blank piece of paper!


Method: Step 1: Draw a straight line lightly using your ruler and pencil on your paper. - This is what we call a construction line.
Step 2: Indicate on this line, two points - thes points are two of the triangles vertices.
Step 3: Usining your compass, measure a distance LARGER than your first line segment.
Step 4: Put your comapss on point 1, and draw and arc.
Step 5 Move your compass to point 2 (keeping the original distance) and draw an arc that intersects the first arc.
Step 6You now have your three vertices. Connect these with a heavier line (my images use the color blue) to construct your triangle.
isoscoles triangle construction
Download one trinagle worksheet, or all of them, to offer your student the practice they need to identify these shapes.
Kindergarten math

Relationship to 3D Shapes

The 3d Figures a Kindergarten through sixth grade student is most likely to deal with, created by an isosceles triangle will either be a Triangular Prism or pyramid. It is also very important to learn the connection between an isoscoles triangle and the circle.
Kindergarten math

Geometric Coloring Sheets

The use of coloring sheets allows your child to start experimenting with triangles. A great first step is to encourage your child to color in triangles adjacent to eachoter with the same color, until their shape starts to look like 'something'. Perhaps that something will be a rectangle or a house. By doing this, your child will start to realize the connection between different shapes. You will find some nice free geometric coloring pages to download here.
Kindergarten math

Fun Geometry Projects

COMMING SOON!


Kindergarten math

Theorems & Proofs

COMMING SOON!



I have created Free printable triangle worksheets for you to offer your child for more practice. Download, print and give them to your kids!





Return from this Isosceles Triangle page to our Diffferent Types of Triangles Section.
Or
Return from this page to K6 Geometric Shapes Home Page, to explore all the other great sections I have to offer.



If you have any suggestions on how to make this site better for you and other readers, please don't hesitate to contact me. I love to hear from my readers, and with a little feedback, I can make this a great resource for parents, teachers and tutors alike.




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