Question

In the figure GHF =AEHD. Which statement is true by CPCTC?

Answer 1

The answer here would be, "HDE = HFG"

Those are the only congruent points on there! The rest don't correspond with one another.
Hope this helps!

Answer 2

Answer: ∠HFG=∠HDE

Explanation:

CPCTC acronym stands for Corresponding parts of congruent triangles are congruent, when two triangles are congruent then their corresponding parts are equal.

Given:- ΔGHF ≅ ΔEHD

Corresponding vertices are G→E, H→H, F→D

⇒∠GHF=∠EHD, ∠HGF=∠DEH and ∠HFG=∠HDE [CPCTC]

Therefore, third option is the right answer.

∠HFG=∠HDE

Rest of other are incorrect as they are not corresponding parts of the congruent triangles.