Congruence of Triangles

Congruence of Triangles

1. When an angle of a triangle in congruent, that means that the angle measurement is exactly the same as another angle.

2. Symbols for it

   • Lines that connect one side of the angle to the other
     • If one angle has 2 lines, and another angle has 2 lines, that means it is congurent

3. If one of the sides of the triangls has a line through it, that also means that it is congruent to another line

4. Side Angle Side Congruence

   • The sides and angles of a triangle dictate weather or not it is congruent to another triangle
     • If a triangle dose not have the same angles and side lengths as another triangle, then they are not congruent.

5. Theorems:

   • SAS
     • Side-angle-side: 2 sides and 1 angle are congruent
   • SSS
     • Side-side-side: when a triangle has 3 equal sides
   • ASA
     • Angle-side-angle: 2 angles and 1 side are equal
   • AAS
     • Angle-angle-side: 2 angles and the non included side is equal

6. Right Triangle Congurency

   • Right angles are always congruent to each other
   • HL Theorem
     • When the hypotenuce side and another side in a triangle is the same as another hypotenuse and side in another triangle