Shapes on shapes on shapes. A brand-new Florida Standards Assessment that includes technology-enhanced items. Proofs. The FSA Geometry EOC can be daunting, but Shmoop's guide includes a full-length benchmark assessment that students can take throughout the year to measure their progress. We've also added targeted review and test-based practice problems—yes, with the technological enhancements and everything—to help promote mastery.
Shmoop is a labor of love from folks who are really, really into learning. Our test prep resources will help you prepare for exams with comprehensive, engaging, and frankly hilarious materials that bring the test to life. No, not like that. Put down those torches.
Inside Shmoop's FSA Geometry EOC benchmark and intervention product, you'll find...
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides (MAFS.912.G-SRT.1.2).
If two shapes aren't congruent, that doesn't mean they have absolutely nothing in common. Just because they aren't soul mates doesn't mean that they can't be friends. Uh, aren't similar.
Specifically, dilating creates shapes that are different in size to the original shape but maintain the same angle measures as the original shape, like Russian nesting dolls, pretty much. Dilation is an example of a similarity transformation. If all we've done to the shape is make it bigger or smaller, we've performed a similarity transformation.
We could say that translation/reflection/rotation are to congruent shapes as dilation is to similar shapes, but we won't, because no one wants to do English in math class.
Similar polygons are, um, similar to congruent ones, except that they do not have to be the same size, just the same shape. This means two things:
When we were talking about congruence earlier, we mentioned the pentagon KLMNO would be ostracized for not being the same size as ABCDE and FGHIJ, even though it had the same angle measures. Similarity allows KLMNO to join the club because, while it may be smaller, it still has the same angle measures.
How sweet. Everyone to the clubhouse! No circles allowed.