EDGE Math 8

Analogous to the properties of equality of real numbers, properties of congruence of triangles are stated in the next theorem.

Theorem

a.	Congruence of triangles is reflexive.

Δ A B C ≅ Δ A B C

b.	Congruence of triangles is symmetric.

Δ A B C ≅ Δ G E O,

then

Δ G E O ≅ Δ A B C .

c.	Congruence of triangles is transitive.

Δ A B C ≅ Δ G E O

and

Δ G E O ≅ Δ X Y Z,

then

Δ A B C ≅ Δ X Y Z .