Question

1. determine a series of transformations that would map figure u onto figure v. transformation options: translation left/right/up/down _ units, reflection over x - or y - axis, rotation 90°/180° clockwise/counterclockwise. 6. determine a series of transformations that would map figure p onto figure q. transformation options: translation left/right/up/down _ units, reflection over x - or y - axis, rotation 90°/180° clockwise/counterclockwise.

Explanation:

Step1: Analyze Figure U to Figure V

1. First, note the horizontal position change. The x - coordinates of corresponding points of Figure U and Figure V change. Figure U needs to be translated 8 units to the right.
2. Then, observe the orientation. After translation, a reflection over the x - axis is needed to map Figure U onto Figure V.

Step2: Analyze Figure P to Figure Q

1. Observe the vertical position change. The y - coordinates of corresponding points of Figure P and Figure Q change. Figure P needs to be translated 10 units down.
2. Then, note the orientation. After translation, a 180° rotation clockwise (or counter - clockwise, since 180° rotation is the same regardless of direction in terms of the final position) around the origin is needed to map Figure P onto Figure Q.

Answer:

1. Translation right 8 units, reflection over the x - axis
2. Translation down 10 units, 180° rotation (clockwise or counter - clockwise)