Part A:
For the first figure it can be seen that the orientation of the pre-image (∆RST) is the same as that of the image (∆R'S'T').
The image is obtained from the pre-image by shifting the pre-image some units down.
Therefore, the single transformation that transforms ∆RST to ∆R'S'T' is a translation.
Part B:
For the second figure it can be seen that the orientation of the pre-image (∆RST) is the same as that of the image (∆R'S'T').
The image is obtained from the pre-image by shifting the pre-image some units down and some units to the right.
Therefore, the single transformation that transforms ∆RST to ∆R'S'T' is a translation.
Part C:
For the third figure it can be seen that the orientation of the pre-image (∆RST) is not the same as that of the image (∆R'S'T').
The image is obtained from the pre-image by rotating the pre-image some 180 degrees.
Therefore, the single transformation that transforms ∆RST to ∆R'S'T' is a rotation.
Part D:
For the fourth figure it can be seen that the orientation of the pre-image (∆RST) is not the same as that of the image (∆R'S'T').
The image is obtained from the pre-image by refrecting the pre-image.
Therefore, the single transformation that transforms ∆RST to ∆R'S'T' is a reflection.