Corresponding vertices are equally far from the y-axis.
Example Solution: A reflection in the y-axis followed by a translation 3 units down.
Practice makes perfect
Before we begin, let's plot the triangles with the given vertices.
The two triangles have different orientations and locations. In â–³ JKL, the vertex L is to the right of K and J and in â–³ DEF the vertex F is to the left of D and E. Therefore, if we reflect â–³ DEF in the y-axis, figures will have the same orientation.
We can see that all corresponding vertices of the image â–³ E'F'D' are shifted 3 units up from â–³ JKL. Therefore, â–³ JKL is a translation 3 units down of â–³ E'F'D'.
We can see that the figures mapped onto each other. Therefore, the congruence transformation that maps â–³ DEF to â–³ JKL is a reflection in the y-axis followed by a translation 3 units down.
