Question

triangle abc is similar to triangle abc. which sequence of similar transformations could map △abc onto △abc?
options:
dilation and reflection
dilation and translation
translation and rotation
translation and reflection

Explanation:

1. Analyze the size: $\triangle A'B'C'$ is larger than $\triangle ABC$, so a dilation (scaling up) is needed first to match the size.
2. Analyze the position/transformation: After dilation, a translation (moving) can align the triangles' positions. Reflection or rotation don't fit as the orientation and angle markings suggest a size change (dilation) and position shift (translation), not flipping (reflection) or turning (rotation). So dilation and translation is the correct sequence.

Answer:

B. dilation and translation