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Rectangle LMNP was dilated using the rule DP,3. Which statements are true? Check all that apply. The length of line segment M'N' is 18 units. The length of segment M'N' is 14 units. The dilation is a reduction. The dilation is an enlargement. The scale factor is One-third. The scale factor is 3.

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Answer:the 1st, 4th, and 6th are correct

Step-by-step explanation:

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The given rule of the dilation indicates that the scale factor is 3 which is

larger than one, therefore, given an enlarged image.

The correct options are;

  • The length of line segment M'N' is 18 units
  • The dilation is an enlargement
  • The scale factor is 3

Methods by which the scale factor is obtained

Please find attached the possible diagram of rectangle LMNP obtained from a similar question posted online;

L'M' = 12

LM = 4

MN = 6

The rule of the dilation of rectangle LMNP = [tex]D_{p, \, 3}[/tex]

L'M' = 3 × LM

Therefore;

The image following the dilation of the preimage LMNP, which is rectangle L'M'N'P' is larger than LMNP

Therefore;

  • The dilation is an enlargement

The scale factor is the number with which the preimage dimension is multiplied to get the image, which is 3

  • The scale factor is 3

M'N' = 3 × MN

Therefore;

  • The length of line segment M'N' = 3 × 6 units = 18 units

Learn more about scale factor of a dilation here:

https://brainly.com/question/840682

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