Question

4520va v geometry sem a geometry
triangle congruence
which congruence theorem can be used to prove △wxs ≅ △yzs?
hl
asa
sas
sss

Explanation:

Step1: Identify the right angles

In \(\triangle WXS\) and \(\triangle YZS\), \(\angle WXS=\angle YZS = 90^{\circ}\) (right angles).

Step2: Identify vertical angles

\(\angle WSX=\angle YSZ\) (vertical angles are equal).

Step3: Identify the equal sides

\(XS = ZS\) (given as marked in the figure).

Since we have two angles and the included side equal (\(\angle WXS=\angle YZS\), \(XS = ZS\), \(\angle WSX=\angle YSZ\)), we use the ASA (Angle - Side - Angle) congruence theorem.

Answer:

ASA