which statements justify that the dilation of triangle stu is an enlargement increasing its size by the…

which statements justify that the dilation of triangle stu is an enlargement increasing its size by the magnitude of the scale factor? select two options. the triangle pre - image is closer to the point of dilation than the image. the triangle image is closer to the point of dilation than the pre - image. the value of the scale factor, $\frac{1}{6}$, is between 0 and 1. the value of the scale factor, 6, is greater than 1. the vertices of the pre - image are collinear with the vertices of the image.

which statements justify that the dilation of triangle stu is an enlargement increasing its size by the magnitude of the scale factor? select two options. the triangle pre - image is closer to the point of dilation than the image. the triangle image is closer to the point of dilation than the pre - image. the value of the scale factor, $\frac{1}{6}$, is between 0 and 1. the value of the scale factor, 6, is greater than 1. the vertices of the pre - image are collinear with the vertices of the image.

Answer

Explanation:

Step1: Recall dilation properties

In an enlargement, the pre - image is closer to the center of dilation than the image and the scale factor (k> 1).

Step2: Analyze each option

  • Option 1: The triangle pre - image is closer to the point of dilation than the image. This is true for an enlargement as the image is stretched away from the center of dilation.
  • Option 2: The triangle image is closer to the point of dilation than the pre - image. This is false for an enlargement.
  • Option 3: The value of the scale factor, (\frac{1}{6}), is between 0 and 1. A scale factor between 0 and 1 represents a reduction, not an enlargement.
  • Option 4: The value of the scale factor, 6, is greater than 1. A scale factor greater than 1 represents an enlargement.
  • Option 5: The vertices of the pre - image are collinear with the vertices of the image. This is a property of dilation in general (not specific to enlargement).

Answer:

The triangle pre - image is closer to the point of dilation than the image; The value of the scale factor, 6, is greater than 1.