Respuesta :

Answer:

∠A ≅ ∠F

Step-by-step explanation:

ΔABC ≅ ΔFDE

∠A ≅ ∠F

∠B ≅ ∠D

∠C ≅ ∠E

(Just took the quiz, and got it correct)

If two triangles are congruent, then their corresponding parts are also congruent

The true statement about triangle ΔABC and ΔFDE is the option;

∠A ≅ ∠F

The reason why the above statement is true is given as follows;

From the attached diagram of triangles ΔABC, and ΔFDE, we have;

ΔABC ≅ ΔFDE by SSS rule of congruency

With reference to the congruency symbols, the congruent parts are;

∠A ≅ ∠F by CPCTC

∠B ≅ ∠D by CPCTC

∠C ≅ ∠E by CPCTC

[tex]\overline {BA}[/tex] ≅ [tex]\overline {DF}[/tex] by CPCTC

[tex]\overline {BC}[/tex] ≅ [tex]\overline {DE}[/tex] by CPCTC

[tex]\overline {AC}[/tex] ≅ [tex]\overline {FE}[/tex] by CPCTC

Therefore, the correct option is option A, ∠A ≅ ∠F

Learn more about CPCTC, here;

https://brainly.com/question/2273850

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