How to Find a Coordinate: Dilation
To find a coordinate after a dilation, multiply each coordinate by the scale factor when the center is the origin. If the center is elsewhere, subtract the center first, scale, then add it back. A Step-by-step Guide to Finding a Coordinate: Dilation Step 1: Identify the Center of Dilation Step 2: Determine the Scale Factor […]
How to Find the Scale Factor of a Dilation?
TL;DR: The scale factor of a dilation is the ratio of any image length to its corresponding original length: \(k = \dfrac{\text{image}}{\text{preimage}}\). If \(|k| > 1\), the figure enlarges; if \(0 < |k| < 1\), it shrinks; negative \(k\) flips it through the center. Key takeaways: Scale factor formula: \(k = \dfrac{\text{image length}}{\text{preimage length}}\). \(|k| […]
