Triangles and Some Ways to Find Out If They are Similar by Stevie Wessel

Updated: 12/16/2020

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- Did you know there are many ways to prove triangles are similar besides the Angle-Angle Similarity Postulate?
- Really? What are some of the ways?
- One of them is the Side-Angle-Side Similarity Postulate, which says that if two or more triangles have corresponding, congruent angles, and the sides that make up these angles are proportional, then the triangles are similar!
- Wow! What does that mean?
- It means that if corresponding angles are equal in two or more triangles, and the sides around that angle have the same simplified fraction, then the triangles are similar!
- Cool! So if I only have one angle measurement and the lengths to the sides around that angle on the triangle, I can still find out if the triangles are similar?
- Exactly! Would you like to learn another?
- Yes, please!
- Another way to prove triangles are similar is the Side-Side-Side Similarity Postulate! It states that if two or more triangles have three corresponding, proportional sides, then the triangles are similar.
- It means that if all three corresponding sides of two or more triangles have the same simplified fraction, then the triangles are similar!
- That's amazing! What does it mean?
- Yes! Isn't that so cool?
- You're welcome!
- It is! Thank you for teaching me all of that!
- That means that if I know all the side lengths of two or more triangles but none of the angle measures, I can still prove if they are similar or not, right?