Question

1. lily wants to define a transformation (or series of transformations) using only rotation, reflections, or translations that takes figure a to figure b.

which statement about the transformation that lily wants to define is true?
a.) it can be defined with two reflections.
b.) it can be defined with one rotation and one translation.
c.) it cannot be defined because figure a and figure b are not congruent.
d.) it cannot be defined because the longest side of figure b is on the bottom.

Explanation:

First, confirm Figure A and B are congruent (same shape/size, so C is false). Rotations, reflections, translations preserve congruence. Two reflections can produce a translation/rotation combination to map A to B: reflect A over a vertical line, then another vertical line (or appropriate axes) to align with B. Option B: a single rotation + translation can't flip the orientation to match B's bottom long side. Option D is false because orientation changes are possible with reflections. Two reflections can achieve the mapping as reflections are allowed rigid transformations.

Answer:

A.) It can be defined with two reflections.