In the figure, GHF = EHD. [tex]$\overline{\mathrm{DH}} \cong \overline{\mathrm{HF}}$[/tex] exists true.
What is CPCTC?
CPCTC stands for Corresponding parts of congruent triangles are congruent, when two triangles exist congruent then their corresponding parts stand equivalent.
Given: ΔGHF ≅ ΔEHD
Corresponding vertices exist G → E, H → H, F → D
⇒∠GHF=∠EHD, ∠HGF=∠DEH, and ∠HFG=∠HDE [CPCTC]
∠HFG=∠HDE
Therefore, the correct answer is option [tex]$\overline{\mathrm{DH}} \cong \overline{\mathrm{HF}}$[/tex].
To learn more about CPCTC
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