Triangle Side Correspondence: Finding AB When Angles B=D and A=F

Question

Look at the following two triangles:

Angles B and D are equal.
Angles A and F are equal.

Which side corresponds to AB?

00:00 Which side corresponds to side AB?

00:03 Angles are equal according to the given data

00:10 We can conclude that these angles are also equal

00:17 Let's write the similarity ratio according to the corresponding angles

00:29 We'll determine from the similarity ratio which side corresponds to AB

00:35 And this is the solution to the question

As we have two equal angles, we will use the angle-angle theorem to simulate triangles.

We will compare the vertices: $A=F,B=D$

According to the data it seems that:

Side AC corresponds to side EF.

Side BC corresponds to side DE.

Therefore, side AB corresponds to side FD.

$FD$