Similar Triangles vs. Congruent Triangles: Understanding the Relationship

Question

Are similar triangles necessarily congruent?

Video Solution

Solution Steps

00:00 Are similar triangles necessarily congruent?
00:03 Let's find the similarity ratio
00:10 We'll see that it holds for every pair of sides
00:19 The triangles are similar by SSS (Side-Side-Side)
00:30 The sides are not equal according to the given data
00:36 In congruent triangles all sides are equal, therefore they are not congruent
00:41 Thus we have shown that similar triangles are not necessarily congruent
00:46 And this is the solution to the question

Step-by-Step Solution

There are similar triangles that are not necessarily congruent, so this statement is not correct.

Answer

No