Question

If this rectangle is dilated using a scale factor of One-half through point B, what is the result?
Point B is the bottom left corner of rectangle X.
Point B is the bottom left corner of rectangle X. Rectangle X prime is double the size of rectangle X.
Point B is the bottom left corner of rectangle X. Rectangle X prime is half the size of rectangle X and point B is at the bottom left corner.
Point B is the bottom left corner of rectangle X. Rectangle X prime is double the size of rectangle X and is outside of rectangle X.
Point B is the bottom left corner of rectangle X. Rectangle X prime is half the size of rectangle X and is outside of rectangle X.

Answer 1

The rectangle is shrunk toward B by a factor of 1/2, so B stays fixed and every other point moves halfway to B. The image X' has half the side lengths (area 1/4 of the original) and has B as its bottom‑left corner, lying inside the original rectangle.