# Geometry Course/Polygon/Triangle

< Geometry Course | Polygon

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## Triangle[edit | edit source]

A triangle is a two dimensional polygon that has three sides and three angles with the total sum of the angles equal to 180^{o}

- Three Points A, B, C
- Three sides AB, BC, CA
- Three angles , ,
- The sum of Three angles

## Similar and Congruent Triangles[edit | edit source]

### Similar Triangles[edit | edit source]

### Congruent Triangles[edit | edit source]

Two Triangles are equal or congruent when

- Two triangles have three sides are equal .
*Side by Side by Side (SSS)* - Two triangles have two sides and angle in between the sides are equal .
*Side Angle Side(SAS)* - Two triangles have two angles and the side in between the angles are equal .
*Angle Side Angle (ASA)*

Note that there is no *AAA congruence(Angle-Angle-Angle)* , because then the sides can be different , making it unequal. It can be **similar** however.

If you were to transpose one congruent triangle with the other , they would superimpose exactly.