Respuesta :

Answer:

The lines that could be the image of line m after a dilation are;

C. n

E. p

Step-by-step explanation:

A dilation is the operation performed on a geometric figure, that involves the uniform enlargement or uniform shrinking of the figure from a given center of dilation, such that the shape of the figure, which can be a line segment, a polygon, or a point on the coordinate plane

From the given options, the lines l and consists of rotation of the line m and are therefore not purely dilations of the line m

Dilation Is the process of increasing or decreasing a figure by a scale factor..The line n and p is the image of the line m after the dilation.

Given information

There are total 5 lines are given in the image shown.

Dilation

Dilation Is the process of increasing or decreasing a figure by a scale factor. When the lines are shorter or longer with the ratio of the original line then it is called the dilation of the line.

The center point of the dilation must be same for the original line and the dilated line.

For the given figure there are total  5 lines are given. Lets check all one by one,

  • Line l- Line is tilted and not dilated to the line m.
  • Line n- Line n is parallel to the line m and similar to the line m.
  • Line o- Line o is tilled with a large angle compare to the line m.
  • Line p- Line p is shorter than the line p. The line m is decreased with some scale factor with common center point.

Thus the line n and p is the image of the line m after the dilation.

Lean more about the dilation here;

https://brainly.com/question/2856466

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