A figure is dilated by a factor of 2. What happens to the perimeter of the figure? show your work

The perimeter is doubled.

Step-by-step explanation:

Let's pretend we have a triangle with side measurements p, q, and r.

The perimeter will be the sum of the side measurements of this triangle which is p+q+r.

If we decide to dilate the figure by a factor of 2, then we are multiply each side by 2. So the perimeter of the new triangle becomes 2p+2q+2r.

Factoring this gives us 2 (p+q+r). The perimeter has doubled.

The same thing would happen if we look at a quadrilateral. There would be 4 measurements multiplied by 2 and you would factor out the 2 giving you 2 (old perimeter) for the new perimeter of the dilated shape.