Learn what it means for two figures to be similar, and how to determine whether two figures are similar or not. Use this concept to prove geometric theorems and solve some problems with …

Learn what it means for two figures to be similar, and how to determine whether two figures are similar or not. Use this concept to prove geometric theorems and solve some problems with …

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Two figures are similar iff there exists a sequence of rigid transformations and dilations that maps one figure to the other. Rigid transformations and dilations preserve angle measures.

A dilation stretches (or shrinks) a figure in all directions, not just vertically, and maps a figure to a geometrically similar figure. However, a vertical stretch (or shrink) does not map a figure to a …

Sal explains what it means for triangles to be similar, and how this follows from the definition of similarity.

We were able to use similarity to figure out this side just knowing that the ratio between the corresponding sides are going to be the same. Now, let's do this problem right over here.

Similar polygons Learn Corresponding points and sides of scaled shapes Relating side lengths in similar figures

Scale shows up when we're zooming in for a photo, making a map that's small enough to carry with us, or creating realistic models. Let's shrink and expand figures and explore what …

Video transcript - [Instructor] So, what I have here are a few definitions that will be useful for a proof we're going to do that connects the worlds of congruence of line segments to the idea of …