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If she has moved to your right, it's a right-lateral strike-slip fault. Normal, reverse, thrust and strike-slip faults can all be of this variety.Sliding on faults is rarely all up, down or sideways. There is really no place on earth that is fault-free.
But there are many places in the world - particularly near tectonic plate boundaries - where the lithosphere is constantly pushed and pulled. Geologic faults are fractures in lithospheric rocks, and fractures are cracks in rocks, along which movement of rocks has happened.
Faults are classified based on how the rocks on either side moved relative to each other.
In other words, the name tells you something about which side moved up or down or to the left or right, with respect to the rocks on the opposite side.
If the fault plane has a dip of less than 45 degrees, the reverse fault is called a thrust fault.
Here's a puzzle for you: what kind of fault would you call it if the fault plane was vertical and either side could be the hanging wall or the footwall? In most cases, that situation is the result of extensional forces, so it would be a normal fault; however, if compression was the cause, it would be a reverse fault.