Answer:
Option A is correct
True, ΔABC and ΔDEF must be congruent.
Explanation:
LA theorem or Postulates states that given two right triangles, where one acute angle and a leg of one of the triangles are congruent to an angle and a leg of the other triangle, then the two triangles are congruent.
In ΔABC and ΔDEF
AB = DE [Leg] [Given in the figure]
[tex]\angle BAC = \angle EDF = 90^{\circ}[/tex] [Given]
[tex]\angle BCA = \angle EFD[/tex] [Acute angle] [Given in the figure]
Then, by the LA theorem or Postulates;
therefore, ΔABC [tex]\cong[/tex] ΔDEF .
