Dilation of a Polygon on a Coordinate Plane with a Scale Factor

Published on September 24, 2026

Geometry

Find the new coordinates of vertices E, F, G, and H after a dilation with a scale factor of 1/3 centered at the origin by multiplying each original coordinate by the scale factor.

Question

Answer

  1. Identify the coordinates of the original vertices from the graph:
  2. Apply the dilation formula for a scale factor centered at the origin: .
  3. Calculate the new coordinates for each vertex: