Describe the transformations that will map triangle a to triangle b and illustrate the similarity between the two triangles

A) Reflect across y-->(5, 2), Translate 5 down-->(5, -3) ... nope. Cross off A 
B) Reflect across x-->(-5, -2), reflect across y-->(-5, -2) ... nope 
C) Translate 4 down -->(5,-2), rotate 180-->(-5, 2) ... nope 
It must be D, but test just to be sure: 
D) Reflect across x-->(-5, -2), rotate 90 counter-clockwise -->(2, -5) yes. 

If you noticed that rotating B to be upright produced a mirror image of A, then you know that an odd number of reflections were involved and could eliminate answers B and C immediately.

Hope this helps