The congruences that are true by CPCTC are option (B) ∠A ≅ ∠D (D) BC ≅ EF (F) AC ≅ DF.
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar triangles are the triangles that are the same in shape, but may not be equal in size.
For the given situation,
The triangles ΔABC ≅ ΔDEF.
The CPCTC theorem states that when two triangles are congruent, then every corresponding part of one triangle is congruent to the other.
This means, when two or more triangles are congruent then their corresponding sides and angles are also congruent or equal in measurements.
[tex]AB = DE, BC = EF, AC = DF[/tex] and
[tex]\angle A = \angle D, \angle B = \angle E, \angle C = \angle F[/tex]
Hence we can conclude that the congruences that are true by CPCTC are option (B) ∠A ≅ ∠D (D) BC ≅ EF (F) AC ≅ DF.
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