In the figure below, ΔGHF≅ΔEHD. Which statement is true by CPCTC?

a.∠EHF ≅ ∠GHF

b.∠DHE ≅ ∠DHG

c.∠HED ≅ ∠HFG

d.∠HDE ≅ ∠HFG

d.∠HDE ≅ ∠HFG

Step-by-step explanation:

we know that

CPCTC is an acronym for corresponding parts of congruent triangles are congruent

Remember that

If two triangles are congruent, then its corresponding angles and its corresponding sides are congruent

In this problem we have

ΔGHF≅ΔEHD

Corresponding angles are

∠HGF and ∠HED

∠GHF and ∠DHE

∠HFG and ∠HDE

so

∠G ≅ ∠E

∠H ≅ ∠H

∠F ≅ ∠D

Corresponding sides are

GH and EH

HF and HD

GF and ED

so

GH ≅ EH

HF ≅ HD

GF ≅ ED

therefore

The correct option is

d.∠HDE ≅ ∠HFG

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

the answer is a if my teacher taught me correct