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Warm up

Warm up. How many triangles can you see in the drawing to the right?. They are all similar triangles and are found in many different puzzles and games.

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Warm up

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  1. Warm up • How many triangles can you see in the drawing to the right?

  2. They are all similar triangles and are found in many different puzzles and games. • Do you see 16, 17, 21, or more? What strategy did you use to keep track of each triangle? Did you notice that the triangles in this diagram all have the same shape?

  3. Similar Triangles How are the relationships among the sides and angles of similar right triangles used to solve problems?

  4. Real World Application • Knowing Similar Triangles Helps with Cancer Treatment! http://www.learner.org/courses/learningmath/video/geometry/wmp/g8b2.html

  5. SIMILAR TRIANGLES • Corresponding angles are equal. • In the diagram, ________ is similar to _________ because __________, _________, and ____________.

  6. SIMILAR TRIANGLES Corresponding sides are in the same proportion. If ____________then_________ .

  7. Similar triangles • If two triangles are similar, they remain similar even after rotation or reflection about any axis as these two operations do not alter the shape of the triangle.

  8. Similar Triangles – same proportion What is x?

  9. Similar triangles – same proportion • A roof truss is built with a slope of 2.5:12. • What is the vertical height of the truss in the diagram? • Round your answer to one decimal place.

  10. Real World Application • Knowing Similar Triangles Helps with Cancer Treatment!

  11. Similar triangles – class activity

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