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?
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?
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?