Which sequence of transformations creates a similar, but not congruent, triangle? a. rotation and translation b. reflection and rotation c. dilation and rotation d. translation and reflection

The correct answer is:
dilation and rotation.

Explanation:
Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.