Description: Triangles, their types, properties, congruence and similarity.
Triangles
Definition
- A Triangle is a closed figure having 3 sides and 3 angles.
Congruence
- Two triangles are said to be congruent if they have the same exact dimensions.
Properties
- The angle opposite to the longest side of the triangle is the largest.
- The angle opposite to the shortest side of the triangle is the smallest.
- The sum of any two sides of a triangle is larger than the third side.
- The sum of the internal angles of a triangle is always equal to 180 degrees.
- The sum of the exterior angles of a triangle is always equal to 360 degrees.
Types
- Equilateral
- Isosceles
- Scalene
Similar Triangles
- Two triangles are said to be similar if their angles are congruent and their sides are proportional.