We can use the transformation given in option B to prove the similarity by AA postulate.
What is AA similarity postulate?
It states that two triangles are similar if they have two corresponding angles congruent (or equal).
In the interest of simplicity, we'll direct to it as the AA similarity postulate. The postulate expresses that two triangles exist similarly if they have two corresponding angles that exist congruent or equal in measure.
In given ΔABC and ΔADE, one angle is already equal that is the right angle.
Therefore,
We need to prove one more set of angles equal in order to make both the triangles similar.
From figure, we can observe that line BC ║DE.
From property of adjacent angles, ∠C=∠E.
Therefore, ∠A=∠A and ∠C=∠E ⇒ ΔABC ≅ ΔADE.
To know more about similarity of triangles refer:
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