Question

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

Answer 1

Answer:

The correct option is A) $\angle B \cong \angle E$.

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:

$\overline{AB} \cong \overline{DE}$

$\overline{BC} \cong \overline{EF}$

$\overline{AC} \cong \overline{DF}$

Now 3 pairs of congruent angles are:

$\angle A \cong \angle D$

$\angle B \cong \angle E$

$\angle C \cong \angle F$

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) $\angle B \cong \angle E$.

Answer 2

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