In the given diagram, we want to identify the transformation that maps △JLM onto △MNJ.
The transformation is not a translation because we cannot map △JLM onto △MNJ by just moving △JLM while maintaining its orientation. Moreover, the transformation is not a reflection because there is no line of symmetry between △JLM and △MNJ. This mapping looks like a rotation.
Writing the Rule
Note that △JLM and △MNJ have a common
segment JM. Therefore, the midpoint of the JM is the center of rotation. The angle of rotation seems to be 180^(∘). Recall that unless we are specifically told otherwise, rotations are performed counterclockwise. Let's confirm these two things!
We can see that the transformation that maps △JLM onto △MNJ is a rotation 180^(∘) about point (3,0). This can be written as r_((180^(∘), (3,0)))( △JLM)= △MNJ.
