15 ! two right triangles are shown below. which statement is true? there is a dilation centered at the origin with scale factor 2 transforming triangle i into triangle iii. there is a dilation centered at (-2,0) with scale factor 2 transforming triangle i into triangle iii. there is a dilation centered at a point off of the x-axis transforming triangle i into triangle iii. there is no dilation transforming triangle i into triangle iii.

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.