contestada

If the perimeter of the pre-image is 41.49 units, what is the perimeter of
the image? Explain your reasoning.

Respuesta :

The perimeter of  the image is 13.83 units.

  • The pre-image and the image are missing and so i have attached them.

  • From the attached image, we can see that the pre image is the triangle with coordinates as;  X(3, 18), Y(18, 18), Z(18, 9).
  • While the image is the triangle with coordinates of X’(1, 6), Y’(6, 6) and Z’(6, 3).

  • From the coordinates given, we can see that there is a dilation because each of the coordinates have similar scale factors with which they were dilated. For example;

X(3, 18) → X’(1, 6)

Y(18, 18) → Y’(6, 6)

Z(18, 9) → Z’(6, 3)

  • What is clear is that there is a common scale factor of 1/3.

Thus, if the pre - image has a perimeter of 41.49, then the perimeter of the image will be; 1/3 × 41.49 = 13.83 units

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