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segment M'N' has endpoints located at M' (−2, 0) and N' (2, 0). It was dilated at a scale factor of 2 from center (2, 0). Which statement describes the pre-image? segment MN is located at M (0, 0) and N (2, 0) and is half the length of segment M'N'. segment MN is located at M (0, 0) and N (2, 0) and is twice the length of segment M'N' . segment MN is located at M (0, 0) and N (4, 0) and is half the length of segment M'N' . segment MN is located at M' (0, 0) and N (4, 0) and is twice the length of segment M'N' .

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Answer:

A.  MN is located at M 0,0) and N (2, 0)  is half the length of M'N'.

Step-by-step explanation:

MN was dilated with a factor 2 is is half the length of M'N'.

MN is located at M(0,0) and N(2,0) as well as it's length would be half the M'N' length. A further explanation is below.

According to the question,

M'N' is a line with,

  • M' = (-2, 0)
  • N' = (2, 0)

Since,

Center of dilation = N' = (2,0)

  • Just because M'N' seems to be the dilated image of MN by something like a factor of two. It follows that M must have been at (0,0).
  • It's two units left from the center of dilation.

So,

→ [tex]M' = 2\times 2[/tex]

        [tex]= 4 \ units[/tex]

Since the dilation is (2, 0), then

→ [tex]M' = (2-4, 0)[/tex]

        [tex]= (-2,0)[/tex]

M'N' is twice then MN. Thus the above answer is correct.

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