Question

The angles of similar triangles are equal.

always
sometimes
never
@haleyelizabeth2017

Answer 1

Im thinking sometimes

Answer 2

Wouldn't it be always? Because similar triangles have the same proportioned legs/hypotenuse, which wouldn't change the angle values? I'm not sure though.

Answer 3

I'm not sure. I think sometimes. i could be wrong tho

Answer 4

LOL lets ask someone else XD

Answer 5

Just looked it up, you're right lol

Answer 6

XD

Answer 7

We have to start from a definition of similarity.
There are different approaches to this. The most logical one I consider to be the definition based on a concept of scaling.
Scaling is a transformation of all points on a plane based on a choice of a scaling center (a fixed point) and a scaling factor (a real number not equal to zero).
If point
P
is a center of scaling and
f
is a scaling factor, any point
M
on a plane is transformed into a point
N
in such a way that points
P
,
M
and
N
lie on the same line and
|
P
M
|
|
P
N
|
=
f

(positive
f
causes points
M
and
N
to be on the same side of point
P
, negative
f
corresponds to point
N
lying on the opposite side of point
M
from a center point
P
).
Then the definition of similarity is:
"two objects are called 'similar' if there exists such a center of scaling and scaling factor that transform one object into an object congruent to another."

Answer 8

They are always equal