Question

triangles gks and yfw are shown, where δgks ≅ δfyw
which of the congruence statements is true?
∠sgk ≅ ∠ywf
√sq ≅ wy
∠osk ≅ ∠fwy
√yf ≅ ks

Explanation:

Step1: Analyze congruent triangles

Since \(\triangle GKS\cong\triangle FYW\), corresponding parts of congruent triangles are congruent.

Step2: Identify corresponding angles

In \(\triangle GKS\) and \(\triangle FYW\), \(\angle SGK\) in \(\triangle GKS\) corresponds to \(\angle YWF\) in \(\triangle FYW\). So, \(\angle SGK\cong\angle YWF\) by the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) theorem.

Answer:

C. \(\angle SGK\cong\angle YWF\)