SSS congruence is used to say ΔZWX ≅ ΔZYX. So option(A) is correct.
All three pairs of matching sides and all three pairs of corresponding angles are congruent when two triangles are congruent. The triangles are congruent if all three sets of comparable sides are present. The side-side-side congruence shortcut is so named as (SSS).
Given that ZW ≅ ZY
We have to determine which criteria is possible to say ΔZWX ≅ ΔZYX
YW bisects XZ
XY = YZ(given)
XW = WZ(given)
YW =YW(common)
By SSS congruence criteria
ΔZWX ≅ ΔZYX
Therefore SSS congruence is used to say ΔZWX ≅ ΔZYX
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