An X5.4 class flare occurred in active region ( AR ) NOAA11429 on 2012 March 7 .
The flare was associated with very fast coronal mass ejection ( CME ) with its velocity of over 2500 km s ^ { -1 } .
In the images taken with STEREO-B /COR1 , a dome-like disturbance was seen to detach from expanding CME bubble and propagated further .
A Type-II radio burst was also observed at the same time .
On the other hand , in EUV images obtained by SDO /AIA , expanding dome-like structure and its foot print propagating to the north were observed .
The foot print propagated with its average speed of about 670 km s ^ { -1 } and hit a prominence located at the north pole and activated it .
While the activation , the prominence was strongly brightened .
On the basis of some observational evidence , we concluded that the foot print in AIA images and the ones in COR1 images are the same , that is MHD fast mode shock front .
With the help of a linear theory , the fast mode mach number of the coronal shock is estimated to be between 1.11 and 1.29 using the initial velocity of the activated prominence .
Also , the plasma compression ratio of the shock is enhanced to be between 1.18 and 2.11 in the prominence material , which we consider to be the reason of the strong brightening of the activated prominence .
The applicability of linear theory to the shock problem is tested with nonlinear MHD simulation .