To answer this question we need to know what both types of waves have in common. For them we describe the characteristics of each wave 
Mechanical waves: 
* Transport energy 
* They need a means to spread (they do not spread through space) 
* Only some of us can hear them 
* They follow a pattern 
Electromagnetic waves 
* Transport energy 
* They do not need a means to spread 
* We can not hear them 
* They follow a pattern 
 
The characteristics that both have in common is that they transport energy (but in different mediums) and that they follow a pattern. Therefore, the correct option is: 
"Carry energy" and "Follow a pattern"