Question

If I have two triangles, and they are similar but different sizes, how would I write a similarity statement for them?

Answer 1

Let the 2 similar triangles have vertices A,B,C and D,E,F respectively.
Then we write : `DeltaABC|||DeltaDEF`,

Explanation:

When 2 triangles are similar, then all their corresponding angles are equal, and all their corresponding sides are in proportion.

So for example, if triangle ABC is similar to triangle DEF, then we write `DeltaABC|||DeltaDEF`, and it imples that angles `hatA=hatD, hatB=hatE and hatC=hatF`.

Furthermore sides `(AB)/(DE)=(BC)/(EF)=(AC)/(DF)`.