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soldier1979 [14.2K]
3 years ago
13

Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Part A

Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis

Part B

Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°

Part C

Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:

  • First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
  • First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points

Part D

Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.

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