(a) What additional information is needed to prove the triangles are congruent by SAS Postulate? Explain.

(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

A.  You also need to know that CA is congruent to LJ to prove the triangles are congruent by the SAS postulate.

B. You need to know that CB is congruent to LK to prove the triangles are congruent by the HL theorem.

Step-by-step explanation:

A. You only have one side and one angle in each triangle that are congruent. To prove the triangles are congruent by the Side Angle Side postulate, you need the other side (or other leg) next to the angle to be congruent as well (in both triangles).

B. The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are congruent triangles. To prove this, you need to know that the hypotenuse in both triangles are congruent to one another.

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step-by-step explanation:

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