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21. determine a series of transformations that would map figure o onto …

Question

  1. determine a series of transformations that would map figure o onto figure p. transformation options: translation left/right/up/down _ units, reflection over x - or y - axis, rotation 90°/180° clockwise/counterclockwise. 22. determine a series of transformations that would map figure r onto figure s. transformation options: translation left/right/up/down _ units, reflection over x - or y - axis, rotation 90°/180° clockwise/counterclockwise. 23. determine a series of transformations that would map figure c onto figure d. transformation options: translation left/right/up/down _ units, reflection over x - or y - axis, rotation 90°/180° clockwise/counterclockwise. 24. determine a series of transformations that would map figure w onto figure x. transformation options: translation left/right/up/down _ units, reflection over x - or y - axis, rotation 90°/180° clockwise/counterclockwise.

Explanation:

Step1: Analyze Figure O to Figure P

First, observe the position and orientation. Figure O needs to be reflected over the y - axis to change its left - right orientation. Then, it needs to be translated 4 units up to match the vertical position of Figure P.

Step2: Analyze Figure C to Figure D

Notice the orientation and position. Figure C should be rotated 180° clockwise to change its orientation. Then, it should be translated 2 units right and 3 units down to match Figure D.

Step3: Analyze Figure R to Figure S

Figure R should be reflected over the x - axis to change its up - down orientation. Then, it should be translated 7 units left to match Figure S.

Step4: Analyze Figure W to Figure X

Figure W should be reflected over the y - axis to change its left - right orientation. Then, it should be translated 6 units down to match Figure X.

Answer:

  1. Reflect Figure O over the y - axis and then translate 4 units up.
  2. Reflect Figure R over the x - axis and then translate 7 units left.
  3. Rotate Figure C 180° clockwise, then translate 2 units right and 3 units down.
  4. Reflect Figure W over the y - axis and then translate 6 units down.