Question

Akayo claims that there are centers of dialstiond through ehich a dialation of line n by a factor of 1.5 leaves line n unchanged

Answer 1

See Explanation

Explanation:

This question requires further details. In absence of the details, I will answer on a general term.

When a line is dilated (whether expanded or compressed), the new line will be on the same line with the dilated line; however, the length of both lines will be different

Take for instance:

Line AB of coordinate (1,3) is horizontally dilated by 2,

Horizontal dilation rule is: y = f(cx) where c is the dilation factor

So, the new point will be

A'B' = (1, 3 * 2)

A'B' = (1,6)

When you compare the x coordinate of both line, you will observe that they have the same x coordinate of 1.

This implies that they are on the same level but different length

The same is applicable to vertical dilation

the new point will be: