Understand Similarity Through Transformations Practice Test

Triangle XYZ undergoes a sequence of transformations to produce similar triangle X'Y'Z'. The sequence includes a reflection across the x-axis, a dilation by scale factor $$\frac{3}{4}$$, and a rotation of 60° counterclockwise. If triangle XYZ has an area of 48 square units, what is the area of triangle X'Y'Z'?

Two similar pentagons have a scale factor of 2:3. If the first pentagon undergoes a sequence of transformations to map onto the second pentagon, and the sequence includes a dilation, a rotation of 45°, and a translation, in which order must these transformations be applied?