Question

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

Answer 1

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

Answer 2

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

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`.