Answer:
SAS theorem
Step-by-step explanation:
Given
Triangles ABC and DEF
[tex]AB = ED[/tex]
[tex]AC = DF[/tex]
[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex]
Required
Which theorem shows the similarity between both triangles
The following can be deduced from the given parameters.
[tex]AB = ED[/tex] ===> Equal Sides
[tex]AC = DF[/tex] ===> Equal Sides
[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex] ===> Equal Angle
This implies that two sides and 1 angle of both triangles are equal.
Hence, the theorem to use is the SAS theorem.
