An octagon has a perimeter of 28 units. What is the perimeter of the image of the octagon after the translation (x,y) → (x-7,y+ 6), a rotation 90 degrees clockwise, and a reflection across the y-axis?
A. 21 units
B. 34 units
C. 28 units
D. 196 units

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Answer:

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Step-by-step explanation:

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The perimeter of the image of the octagon is 28 units

The perimeter of the octagon is given as:

p = 28 units

The transformations are given as:

  • Translation (x,y) → (x-7,y+ 6)
  • Rotation 90 degrees clockwise
  • Reflection across the y-axis

The above transformations are rigid transformations, and they do not change the side lengths of the octagon.

Hence, the perimeter of the image of the octagon is 28 units

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