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Similarity

Similarity. Geometry Chapter 7. 7-1 Ratios and Proportions. A ratio is a comparison of two quantities Ratios can be written: a to b, a:b or a/b the fractional form is the most common and easiest to use mathematically. 7-1 Ratios and Proportions. 7-1 Ratios and Proportions.

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Similarity

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  1. Similarity Geometry Chapter 7

  2. 7-1 Ratios and Proportions • A ratio is a comparison of two quantities • Ratios can be written: • a to b, a:b or a/b • the fractional form is the most common and easiest to use mathematically

  3. 7-1 Ratios and Proportions

  4. 7-1 Ratios and Proportions

  5. 7-1 Ratios and Proportions

  6. 7-1 Ratios and Proportions

  7. 7-2 Similarity • Two figures that have the same shape but not necessarily the same size are similar. • Two polygons are similar if BOTH: • Corresponding angles are congruent AND • Corresponding sides are proportional • The ratio of the lengths of corresponding sides is the similarity ratio.

  8. 7-2 Similarity

  9. 7-2 Similarity

  10. 7-2 Similarity

  11. 7-2 Similarity

  12. 7-2 Similarity

  13. 7-2 Similarity

  14. warm up Are the polygons similar? Explain. If they are similar, what is the similarity ratio?

  15. 7-3Proving Triangles Similar • On a blank sheet of paper, draw a line segment. • Glue the two angles you are given to the end points of the segment and finish the triangle by extending the remaining sides. • Measure the sides of your triangle to the nearest millimeter. • Compare your triangles to your table partners and determine if they are similar.

  16. 7-3Proving Triangles Similar • Are your triangles similar? • Complete this conjecture: • If two angle of one triangle are congruent to two angles of another triangle, then the triangles are ____________________

  17. 7-3Proving Triangles Similar

  18. 7-3 Proving Triangles Similar

  19. 7-3 Proving Triangles Similar • Explain why the triangles must be similar.

  20. 7-3 Proving Triangles Similar

  21. 7-3 Proving Triangles Similar

  22. 7-3 Proving Triangles Similar Homework: page 385 (1-19) all

  23. 7-4 Similarity in Right Triangles

  24. 7-4 Similarity in Right Triangles

  25. 7-4 Similarity in Right Triangles

  26. 7-4 Similarity in Right Triangles • Homework: page 394 (9-21) all • Chapter 7 test next week Tuesday/Wednesday

  27. 7-5 Proportions in Triangles • warm up

  28. 7-5 Proportions in Triangles

  29. 7-5 Proportions in Triangles

  30. 7-5 Proportions in Triangles

  31. 7-5 Proportions in Triangles

  32. 7-5 Proportions in Triangles

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