Verified Answer :

taskmasters

Two figures are said to be congruent when they
have the same shape and size or if one object is a mirror image of the other
object. The triangles ABC and DEF are congruent when they
have equal lengths of the sides and having equal sides, angles should as well
be equal with the two triangles. The answer is D.

frika

Definition: Two triangles are congruent if their corresponding sides are equal in length, in which case their corresponding angles are equal in measure.

ASA Postulate: If two pairs of angles of two triangles are equal in measurement, and
the included sides are equal in length, then the triangles are
congruent.
To show that ΔABC is conguent to ΔDEF by ASA you have:

1. \(m\angle B=m\angle E=50^{\circ}\);
2. \(AB=DE=10\)
and you should have the measure equality of second pair of angles, adjacent to the corresponding sides AB and DE:
3. \(m\angle A=m\angle D\).

Answer: correct choice is D.