$1.$ For each walk listed, determine which of the following are

true: It is a trail, it is a path, it is a closed walk, it is a circuit,

it is a cycle.

$(1)v_4{e}_1{v}_5{e}_2{v}_4$

$(2)v_2{e}_3{v}_4{e}_2{v}_5{e}_1{v}_4{e}_4{v}_2$