We need to prove that they are the same shape, and we can do that by checking to see if their sides are in proportion to each other. These two triangles appear to be the same shape, but remember that in geometry we can’t always trust our eyes. Let’s look at an example where we only know the lengths of the sides of two triangles: Okay, but what if we didn’t start by dilating and don’t know all the angles? Is there any other way to tell if two triangles are similar? Side-Side-Side Method ![]() Since we know these two triangles are similar triangles, we can express this in math notation like this: \(△ABC\) ~ \(△A’B’C’\) It should be noted that anytime you dilate a triangle, you end up with two similar triangles. This is the Angle-Angle-Angle, or AAA, method of determining similarity. ![]() That’s because they have the exact same angles, which is what makes them similar triangles. Notice that the two triangles have the same shape and proportions. But here’s the twist-similar triangles don’t have to be the same size! So if you take a copy of the triangle and dilate it to twice its size, it will still be similar to the original triangle. ![]() That means they will have the same three angles. Similar triangles are triangles that have the same shape. Hi, and welcome to this review on similar triangles! Today, we’re going to explore how to identify similar triangles and how we can use that knowledge to solve a very popular kind of geometry problem.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |