## GEOMETRY

## Similarity

Similarity,In what follows, we’ll see that many—if not most—of our results shall rely on the proportionality of sides in similar triangles. A convenient statement is as follows. Similarity, Given the…

## The Pythagorean Theorem

One of the foremost fundamental results is that the well-known Pythagorean Theorem. This states that a a2 + b2 = c2 in a right triangle with sides a and b…

## Trigonometric Identities

A Trigonometric identity or trig identity is an identity that contains the trigonometric functions sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), or cosecant(csc). Trigonometric identities can use to: Simplify trigonometric expressions. Solve…

## Role of Euclidean Geometry in High-School Mathematics

If only because in one’s “further” studies of mathematics, the results (i.e., theorems) of euclidean geometry appear only infrequently, this subject has come under frequent scrutiny, especially over the past…