The types of transformation which result in the formation of congruent triangles as in the task content are; only reflection, rotation and translation.
It follows from the task content that the translations which may result in the congruence of the pre-image and image be identified;
It follows from the types of translations that only dilation involves the resizing of the pre-image in the process of forming the image.
On this note, only reflection, rotation and translation can lead to the formation of congruent triangles.
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