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.
m∠A = 90°
m∠B = 37°
m∠C = 63°
m∠D = 90°
m∠E = 37°
m∠F = 63°
∆DEF side lengths
∆ABC side lengths
1 2
=
2 4
=
2.25 4.5
=
1 2
∆ABC ∼ ∆DEF