Question

12 in the figure, $\triangle ghfcong\triangle ehd$. which statement is true by cpctc? $angle hdecongangle hfg$ $angle hedcongangle hfg$ $angle ehfcongangle ghf$ $angle dhecongangle dhg$

Explanation:

Step1: Recall CPCTC concept

CPCTC (Corresponding - Parts of Congruent Triangles are Congruent). If $\triangle GHF\cong\triangle EHD$, then corresponding angles are congruent.

Step2: Identify corresponding angles

In $\triangle GHF$ and $\triangle EHD$, $\angle HDE$ in $\triangle EHD$ corresponds to $\angle HFG$ in $\triangle GHF$.

Answer:

$\angle HDE\cong\angle HFG$