What additional piece of information is needed to prove the triangles congruent by ASA?

The additional piece of information is ∠S ≅ ∠J, which satisfy the given condition.
If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
You need at least one pair of congruent corresponding sides to prove two triangles are congruent. If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
Here, We can get
ΔTBJ ≅ Δ DPS
Existing conditions, JB = PS
and ∠B = ∠P
Prove by ASA, ∠S ≅ ∠J
Thus, additional piece of information is ∠S ≅ ∠J, which satisfy the given condition.
Learn more about ASA Congruence from:
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