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| […]
How to Find Complementary, Supplementary, Vertical, Adjacent, and Congruent Angles?
TL;DR: Five angle relationships do most of the work in geometry. Complementary angles add up to 90 degrees. Supplementary ones add up to 180. Vertical angles, the pair sitting across from each other where two lines cross, are always equal. Adjacent angles share a vertex and a side without overlapping. And congruent angles? They simply […]
