Question

Triangle GHI is shown below with line JK passing through the center. Imagine triangle GHI was dilated by a scale factor of four about the center of the triangle and a line was drawn passing through its center. What would you know about the line of the dilated figure as compared to line JK drawn below?

Answer 1

@boldjon can you help?

Answer 2

yeah i'm working on it

Answer 3

Ok thank you!

Answer 4

From what I understand about dilation equations like this is that the center of a triangle or a dilation is a fixed point in the plane in which all points are expanded.

Answer 5

In my opinion the line of the dilation would overlap the original position of JK.

Answer 6

Did they want me to prove anything or just answer like this?

Answer 7

@rvc

Answer 8

@mathmale

Answer 9

Dilations from the center are all nicely proportional.

Answer 10

Ok so should I add that in?

Answer 11

Yea you should

Answer 12

Ok thanks!