Respuesta :

Given that triangle ABC is congruent to triangle DEF, then by CPCTC, angle B is congruent to angle E.

Answer:

The correct option is A) [tex]\angle B \cong \angle E[/tex].

Step-by-step explanation:

Consider the provided information.

It is given that the ΔABC ≅ ΔDEF.

Now according to CPCTC:

Corresponding parts of congruent triangles are congruent.

Now consider the figure 1:

In figure 1, ΔABC ≅ ΔDEF therefore 3 pairs of congruent sides and congruent angles are shown below:

[tex]$\overline{AB} \cong \overline{DE}[/tex]

[tex]$\overline{BC} \cong \overline{EF}[/tex]

[tex]$\overline{AC} \cong \overline{DF}[/tex]

Now 3 pairs of congruent angles are:

[tex]\angle A \cong \angle D[/tex]

[tex]\angle B \cong \angle E[/tex]

[tex]\angle C \cong \angle F[/tex]

Now, match the provided options.

By observing the provided options it can be concluded that the correct option is A.

The correct option is A) [tex]\angle B \cong \angle E[/tex].

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