Example Solution: 180^(∘) rotation about the origin, followed by a translation 5 units left and 1 unit down
Practice makes perfect
The triangles have different orientations and locations. In △ ABC, the vertex C is to the right of A and B. In △ EFG, the corresponding vertex G, is to the left of E and F. To line up their orientations, we can rotate △ ABC 180^(∘) about the origin.
Now, by translating △ A'B'C' down by 1 unit and left by 5 units, we can map it onto △ EFG.
Therefore, the congruence transformation that maps △ ABC onto △ EFG can be written as follows.
Rotation:& 180^(∘) rotation about the origin
Translation:& (x,y) → (x-5,y-1)
