Similar Triangles Part 1: Introduction #mathhelp #similartriangles

In this video we go over similar triangles and what it means for two triangles to be similar. Similar triangles have corresponding angles equal to each other and corresponding sides are in a constant ratio. Part 1 serves as an introduction to notation, setting up a similarity relationship correctly, deriving ratios from the similarity relationship, and using AA (Angle-Angle), SAS (Side-Angle-Side) and SSS (Side-Side-Side) methods to show two triangles are similar. We also go over some basic problems near the second half. Make sure you completely understand this video before proceeding to the next parts. In Part 2 we apply our knowledge to some more introductory problems! Hope this helps! TIMESTAMPS THEORY 0:00 Introduction to similar triangles (What does it mean when 2 triangles are similar?) 3:41 2 important properties of similar triangles 8:08 3 tests to show two triangles are similar (AA, SAS, SSS) 10:07 A closer look at Angle-Angle (AA) Similarity 15:42 A closer look at Side-Angle-Side (SAS) Similarity 18:22 A closer look at Side-Side-Side (SSS) Similarity 20:13 How to write your similar triangle ratios 2 DIFFERENT ways PRACTICE PROBLEMS 29:20 Problem 1 (AA example) 33:42 Problem 2 (SSS example involving ‘strange’ numbers. Do not be afraid of decimals) 40:32 Problem 3 (Two parallel lines set-up. VERY IMPORTANT AND VERY COMMON. PARALLEL LINES MEAN EQUAL ANGLES) 44:24 Problem 4 (Tricky SAS example. This one will improve your mathematical intuition and number sense. Ask yourself: ‘How are the given numbers related to each other?’ ) 50:13 Problem 5 (AA example involving two parallel lines) 53:39 Problem 6 (SAS example. DO NOT ASSUME LINES ARE PARALLEL UNLESS EXPLICITLY STATED!!!) 58:45 Homework announcement and closing thoughts