Similar Triangles https://www.youtube.com/watch?v=8h-BeLqfa3E Objects, such as these two cats, that have the same shape, but do not necessarily have the same size, are said to be "similar". The mathematical symbol used to denote similar is ~. Definition: In mathematics, polygons are similar if their corresponding (matching) angles are congruent (equal in measure) and … [Read more...] about Similar Triangles

# Similar Triangles

## Construction Of Similar Triangle As Per Given Scale Factor

Construction Of Similar Triangle As Per Given Scale Factor Scale factor means the ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle. This construction involves two different situations : (i) The triangle to be constructed is smaller than the given triangle, here scale factor is less than 1. (ii) The triangle to be … [Read more...] about Construction Of Similar Triangle As Per Given Scale Factor

## Strategies for Dealing with Similar Triangles

Strategies for Dealing with Similar Triangles Triangles are similar if their corresponding (matching) angles are congruent (equal in measure) and the ratio of their corresponding sides are in proportion. There are many different types of problems that involve similar triangles. And, fortunately, there are several different ways to arrive at an answer. Let's look at some … [Read more...] about Strategies for Dealing with Similar Triangles

## Basic Proportionality Theorem or Thales Theorem

Basic Proportionality Theorem or Thales Theorem Statement: If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio. Given: A triangle ABC in which DE || BC, and intersects AB in D and AC in E. Converse of Basic Proportionality Theorem Statement: If a line divides any two sides of a … [Read more...] about Basic Proportionality Theorem or Thales Theorem