How to Shrink it?

Taylor Nicole’s House This is Taylor Nicole’s illustration for a house on Geometry Sketchpad. Use your ruler and protractor to draw the house on your paper.

Honey, I shrunk the house! Lola, Lily, and Lulu love Taylor Nicole’s house, but find it a little to large for their liking. In other words, they want to shrink the house down to a smaller size while keeping it exactly the same shape. After a long discussion, each came up with a strategy for drawing the smaller house.

Whose way to choose? Lola’s Way: Keep all the angles as they are and subtract five centimeters from the length of each side. Lily’s Way: Keep all the lengths as they are and divide all the angles by two. Lulu’s Way: Keep all the angles as they are and divide the lengths of all the sides by two.

What does it mean? So after looking at Lola, Lily, and Lulu’s methods, what rules must be followed to keep a polygon similar?