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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Looking at the graph, we can see that $△ABC$ and $△DEF$ have the same shape and size. What separates them are their position and orientation on the coordinate plane. Therefore, they are congruent.

In $△ABC,$ vertex $B$ is above $A$ and $C.$ In $△DEF$ the corresponding vertex, $F,$ is below $D$ and $E.$ To line up their orientations, we can rotate $△ABC$ about the origin $180_{∘}.$ For simplicity, and since it is not congruent to any triangle, we will not draw $△GHI.$

Next, by translating $△A_{′}B_{′}C_{′}$ up $2$ units and right $2$ units, we can map it onto $△DEF.$

Therefore, the congruence transformation that maps $△ABC$ onto $△DEF$ is a rotation $180_{∘}$ about the origin, followed by a translation up $2$ units and right $2$ units. $Rotation:Translation: 180_{∘}about the origin(x,y)→(x+2,y+2) $