Given that triangle abc is congruent to triangle def which of the following statements much be true according to CPCTC?
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].