A triangle is a two dimensional polygon that has three sides and three angles with the total sum of the angles equal to 180o
- Three Points A, B, C
- Three sides AB, BC, CA
- Three angles , ,
- The sum of Three angles
Similar and Congruent Triangles
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.