Answer:
The correct option is 3.
Step-by-step explanation:
The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'
From the given figure it is noticed that triangle ABC and triangle EDC. In triangle ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.
To use HL hypotenuse and one leg of triangles must be equal.
\(AB=DE\) (hypotenuse)
\(AC=DC\) (leg)
\(BC=EC\) (leg)
Therefore the additional information \(AC=DC\) will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.
