Select translation, reflection, or rotation to identify the single transformation that transforms ∆rst to ∆r's't'.

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.

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