Answer:
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We are given that:
1) m∠R = m∠C, therefore the two angles are congruent:
2) E is the midpoint of RC, therefore, as midpoint divides the segment in two equal parts:
3) As per diagram, TER and VEC are vertical angles, therefore they are congruent:
As we have two angles and included side being congruent, this is Angle Side Angle or ASA congruence.
The matching choice is D.