A dilation makes a figure larger or smaller, but has the same shape as the original. In other words, the dilation is similar to the original.
To determine if triangles are similar we consider the following
These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS), are foolproof methods for determining similarity in triangles.
hence looking at the options
The only sufficient option to make triangle XYZ to be similar to triangle MNP is option B
That is
Angle X is congruent to angle M and Angle Y is congruent to angle N
