Answer:
Option is D.
The congruence theorem that can be used to prove △BAE ≅ △CAD is HL (Hypotenuse and leg of a right triangle.)
Step-by-step explanation:
From the Figure:
Consider △BAE ≅ △CAD
∴ [tex]\angle BAE=\angle DAC=90^{\circ}[/tex]
[tex]BE=CD \left \{ Hypotenuse side\right \}[/tex]
[tex]BA=AC \left \{One leg of the triangle are equal\right \}[/tex]
Therefore, by HL i.e, (Hypotenuse and leg of a right triangle) which implies that two right angle triangle are congruent if their hypotenuse and one corresponding leg of the triangle are equal.
Hence, [tex]\bigtriangleup BAE\simeq \bigtriangleup CAD[/tex] by HL congruence theorem.
