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

Feb 13, 2016

Let the 2 similar triangles have vertices A,B,C and D,E,F respectively.
Then we write : $\Delta A B C | | | \Delta D E F$,

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 $\Delta A B C | | | \Delta D E F$, and it imples that angles $\hat{A} = \hat{D} , \hat{B} = \hat{E} \mathmr{and} \hat{C} = \hat{F}$.

Furthermore sides $\frac{A B}{D E} = \frac{B C}{E F} = \frac{A C}{D F}$.