Answer:
ΔABC and ΔA'B'C' are congruent, by the SSS rule of congruency
Step-by-step explanation:
The given parameters are;
The transformation undergone by triangle ABC = (x, y) → (x + 7, y + 3) to give triangle A'B'C'
Therefore, the points on triangle ABC are transformed by a translation of 7 units to the right and 3 units up to form triangle A'B'C'
Given that a translation transformation is a form of rigid transformation, we have;
The lengths of triangle ABC are congruent to the lengths of the sides of triangle A'B'C'
Therefore. ΔABC ≅ ΔA'B'C', by the Side-Side-Side (SSS) rule of congruency.