YOU are better than YOU think. Show yourself  how:

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 Logic Mastery
 Amazing, Amusing, Amorous,  Delicious, Delightful, Edifying, Strengthening Elixir. 
It eases work & learning difficulties Makes the hard easier. Opens eyes. Leads to greater precision.
in reading and writing

Do not leave here without it -  Logic mastery  will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck.

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After logic,   (a) continue reading Three Skills for Algebra, chapters 8 to 14  and do so alongside site area on solving linear2007 Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes  & More Math, chapters 2 to 6;

For online automated help in senior high school maths & calculus, visit  quickmath.com  For Automatic Calculus and Algebra Help with derivatives, integrals, graphs, linear equations, matrix algebra, visit calc101.com  With  overlap, each site quickmath & calc101offers a different range of services, some free, some not, all based on webmathematica. Good luck.

Explore collaborative whiteboards from groupboard,  twiddla  or scriblink.

Isosceles Triangles

A triangle is said to be isosceles if 

1. Two sides in it have equal length, or 
2. Two angles in it are equal. 

The next two theorems show that the conditions (1) and (2) are equivalent. That is, each implies the other. 

Theorem 1. If  two sides in a triangle have equal lengths then the angles opposite them are equal.

Proof of theorem 1: 

 

  
Click on thumbnail to see proof.

Theorem 2. If two angles in a triangle are equal then the sides opposite them have equal length.

Proof of theorem 2: 

   

Click on thumbnail to see proof.

Equilateral and Equiangular Triangles

A triangle is said to be equilateral when and only when all three sides in it have the same length.  A triangle is said to be equiangular when and only when all three angles in it are equal.

Theorems 1 and 2 above imply the following.

Theorem 3. A triangle is equilateral when and only when it is equiangular.