Question

which congruence theorem can be used to prove △wxs ≅ △yzs?
o sss
o asa
o sas
o hl

Explanation:

Step1: Identify right - angled triangles

Both $\triangle WXS$ and $\triangle YZS$ are right - angled triangles as $\angle WXS=\angle YZS = 90^{\circ}$.

Step2: Identify equal sides

The vertical lines on $XS$ and $ZS$ indicate that $XS = ZS$, and the hypotenuse $WS=YS$ (the common side connecting the non - right angles vertices of the two triangles).

Step3: Apply congruence theorem

For right - angled triangles, when the hypotenuse and one leg are equal, the HL (Hypotenuse - Leg) congruence theorem can be applied.

Answer:

HL