# Visual proof

## Visual Justification for fractions

After looking at visual justifications for properties of additon for whole numbers and fractions, this poster considers the properties of multiplication for the same number sets.

## Geometric Proof of a Trigonometric Identity

The following diagram is a “proof without words” (also known as a ‘visual proof’) for the trigonometric identity.

## Visual Proof of the two variable AM-GM inequality

Visual Proof of the two variable AM-GM inequality

## Bhaskara's proof of the Pythagorean theorem

Here is an elegant visual proof of the Pythagorean Theorem (check the links 1, 2, 3 ) developed by the 12th century Indian mathematician

## Make algebraic proofs a visual treat

Here are the remaining 3 proofs of algebraic identities

(a + b)(a - b) = (a2 - b2)

(a + b)2 + (a - b)2 = 2(a2 + b2)

(a + b)2 - (a - b)2 = 4ab by using algebra tiles.

## Visual proof for (a - b)2 +2ab

See the visual proof of (a - b)2 +2ab using coloured tiles,

You may download the attached ppt & pdf.

## Visual proof for (a+b)2 -2ab

See the visual proof of (a+b)2 - 2ab using coloured tiles,

You may download the attached ppt & pdf.

Click here for (a - b)2 + 2ab proof

## (a - b)3 through models

Swati Sircar invites you to explore the cubic identities (a - b)3 through 3D models.