More on Similar Triangles

  • Intro

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  • Topics

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    • The Basics of Similarity
    • Similarity in Triangles
    • Proving Triangle Similarity
    • Dilation
    • Similarity in Other Polygons
  • Examples

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    • Ratio
    • Proportion
    • Triangle Proportionality Theorem
    • Triangle Midsegment Theorem
    • Angles and Sides
    • Proving Triangle Similarity
    • Dilation
    • Similarity in Other Polygons
  • Exercises

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    • Ratio
    • Proportion
    • Triangle Proportionality Theorem
    • Triangle Midsegment Theorem
    • Angles and Sides
    • Proving Triangle Similarity
    • Dilation
    • Similarity in Other Polygons
  • Math Shack Problems

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  • Quizzes

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    • That's So Ratio
    • The Similarities of Cats and Dogs
    • Scale It Back
  • Terms

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  • Handouts

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  • Best of the Web

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  • Table of Contents

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The Basics of Similarity

Oh, shapes, how do we compare thee? Let us count the ways. 1. You could be congruent.2. You could be similar.3. You could be totally unrelated.Okay, that's enough.Let's talk more about being simila...

Similarity in Triangles

Similar triangles, like all similar polygons, have congruent angles but proportional sides. This means, of course, that if we write ratios comparing their side lengths, the ratios will be equivalen...

Proving Triangle Similarity

Imagine you've been caught up in a twister that deposits you and your little dog in the middle of a strange new land. In order to get home, you must prove that two triangles are similar. How will y...

Dilation

Ack!Hey, chill. Take a deep breath and look at the bigger picture, and you'll see that the monsters of geometry aren't quite that scary.The world is full of plenty of transformations, processes tha...

Similarity in Other Polygons

Triangles, triangles, triangles! Why do they get all the attention?It's so hard being the younger sibling of the strongest and most stable shape there is. How about some love for the rest of the...
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