Answer:
4 : 2
Step-by-step explanation:
We are given ΔABC ≅ ΔA'B'C'.
When two triangles are congruent, their corresponding sides and angles are congruent.
Since, the sides of the triangles are in relation,
AB = 2 × A'B' and side BC = 2 × B'C' i.e. 4 = 2 × 2 and 9 = 2 × 4.5.
Therefore, the ratio of the corresponding sides are given by 4 : 2 and 9 : 4.5 i.e. 2 : 1.
Since, the ratio of the corresponding sides comes out to be 2 : 1 = 4 : 2.
Hence, the ratio of the corresponding sides is 4 : 2.