Answer: Yes, they are congruent.
Step-by-step explanation:
Given: On the coordinate plane, ΔABC ≅ ΔDEF by SSS...........(1)
ΔABC translates 2 units to the left and 3 units down.
Let ΔA'B'C' be the translated image of ΔABC.
- A translation is rigid transformation that maps every point of a figure by the same distance in a given direction.
Since, all the rigid transformations create congruent images.
Hence, ΔA'B'C'≅ΔABC.........................(2)
From (1) and (2), we have
A'B'C'≅ΔDEF [Transitive property of equality]
Therefore, the triangles remains congruent.
