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Answer:

The answer is HL which is option D.

Step-by-step explanation:

Congruent shapes have equal corresponding sides and angles.

The congruence theorem that can be used to prove  is HL

[tex]\triangle BAE \cong \triangle CAD[/tex] means that, the triangles are congruent.

From the figure, we have the following congruent sides

  • AB and AC --- Side
  • AE and AD --- Side
  • BE and CE --- Side (Hypotenuse Leg)

The above highlights mean that the theorem can be used to prove that the triangles are congruent is HL.

This is so, because the hypotenuse of both triangles are equal.

Read more about congruent triangles at:

https://brainly.com/question/11329400

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