T.6 Why does it work?

Transformations

Show ∆ABC and ∆DEF are similar.


Jaxon's "Definition" Method
I measure the angles of both triangles and found that all of angles in ∆ABC are congruent to the angles in ∆DEF.
All of the side lengths in ∆ABC are proportional to the side lengths in ∆DEF.
The triangles are similar.
mA = 90°
mB = 37°
mC = 63°
mD = 90°
mE = 37°
mF = 63°
∆DEF side lengths
∆ABC side lengths
1 2
=
2 4
=
2.25 4.5
=
1 2
∆ABC ∆DEF