Question

triangle abc is dilated with a scale factor of 9 and then translated 2 units to the right to form triangle abc.
similar congruent
triangle abc is rotated 180° counterclockwise and then reflected across the x-axis to form triangle abc.

Explanation:

1. For the first transformation: Dilation with a scale factor of 9 changes the size of triangle ABC, while translation only shifts its position. Shapes that have the same shape but different sizes are similar, not congruent.
2. For the second transformation: Rotation and reflection are rigid transformations, which preserve the size and shape of the original figure. Figures that have identical size and shape are congruent (and also similar, but congruent is the more precise classification here as size is unchanged).

Answer:

1. Triangle ABC after dilation + translation: SIMILAR
2. Triangle ABC after rotation + reflection: CONGRUENT