Another good word to use in English as a translation for 倒す/倒れる is “To topple” or “Topple over”. 落ちる = To fall/To fail 転ぶ = To fall/To trip 倒れる = To fall/To topple/To topple over
They all have the sense of fall, but upside down would have a different word (one I don't know😊 ). Slip / slide is also 滑る (すべる) たおれる to fall (over,down), to collapse, to topple 転ぶ (ころぶ and こける) to fall down / over 落ちる to fall , to drop, to come down, to give way.... Layla's explanation is really good to know if it's falling from the top, the side etc..
