Answer:
A) [tex]AC=DF[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Options
A) [tex]AC=DF[/tex]
B) [tex]AB=DE[/tex]
C) [tex]\angle B=\angle E[/tex]
D) [tex]\angle A=\angle D[/tex]
Required
Which does not prove the congruence of ABC and DEF using ASA?
From the attachment, we have the following:
[tex]\angle A = \angle D[/tex] --- Angle
[tex]AB = DE[/tex] --- Side
[tex]\angle B = \angle E[/tex] ---- Angle
The ASA theorem means that 1 side of both triangles are equal.
By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.
However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem
