*Geometry Question*

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Graph the triangle with vertices P(2, 2), Q(4, 4), and R(8, 2) and its image after a dilation with scale factor k=12.

What are the coordinates for Triangle PQR after a dilation with the scale factor k=12?

Please show all the work on how you got your answer.

  P'(1, 1), Q'(2, 2), R'(4, 1)

Step-by-step explanation:

The dilation factor multiplies each coordinate value, so ...

  P' = (1/2)P = (2/2, 2/2) = (1, 1)

  Q' = (1/2)Q = (4/2, 4/2) = (2, 2)

  R' = (1/2)R = (8/2, 2/2) = (4, 1)

Each point is half as far from the origin as the original. Here, all of the PQR coordinates are even numbers, so dividing them by 2 is about as easy as it gets.

the answer will be

answer for #1 is c

answer for #2 is d

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