What is a correct congruence statement for the triangles shown? enter your answer in the box. △ ≅△nkw pls

The correct congruence statement for the triangles are ASA congruence.

Step-by-step explanation:

In the given figures ΔRHS≅ΔNKW

we have to give the correct congruence statement for these triangles

In ΔRHS and ΔNKW

∠RHS=∠NKW        (∵Given)

HS=KW                  (∵Given)

∠HSR=∠KWN        (∵Given)

Here, two angles and one side between them are equal. So by ASA criteria which states that when two corresponding angles of the triangles are equal with included one side between them is equal, then both triangles are congruent. ΔRHS≅ΔNKW.

Hence, the correct congruence statement for the triangles are ASA congruence.

This line would be neither. Parallel lines are lines that will never intersect. Perpendicular lines will meet and create four 90 degree angles. These lines do not meet the criteria, so the answer is neither.