Question

1. in the figure, ( \triangle dhgcong\triangle fhe ). which statement is true by cpctc? ( angle hgdcongangle hfe ) ( angle ehfcongangle ghf ) ( angle dhecongangle dhg ) ( angle hdgcongangle hfe )

Explanation:

Step1: Recall CPCTC

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent". If \(\triangle DHG\cong\triangle FHE\), then their corresponding angles are congruent.

Step2: Identify corresponding angles

In \(\triangle DHG\) and \(\triangle FHE\), \(\angle HDG\) in \(\triangle DHG\) corresponds to \(\angle HFE\) in \(\triangle FHE\)

Answer:

\(\angle HDG\cong\angle HFE\)