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Use Similar Polygons

Use Similar Polygons. 6.3. Similar Polygons. Similar Polygons: all corresponding angles are congruent and the sides are proportional. When 2 polygons are similar. The symbol used when 2 figures are similar is: ~.

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Use Similar Polygons

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  1. Use Similar Polygons 6.3

  2. Similar Polygons • Similar Polygons: all corresponding angles are congruent and the sides are proportional.

  3. When 2 polygons are similar The symbol used when 2 figures are similar is: ~ When you know 2 figures are similar you must name the corresponding angles in the same order.

  4. Name the corresponding angles, then the ratios of the corresponding sides. ŸA,ŸD ŸB,ŸE ŸC,ŸF

  5. Name the corresponding angles, then the ratios of the corresponding sides. ŸR,ŸW ŸS,ŸV ŸT,ŸU

  6. Name the corresponding angles, then the ratios of the corresponding sides. ŸC,ŸM ŸD,ŸJ ŸE,ŸK ŸF,ŸL

  7. Name the corresponding angles, then the ratios of the corresponding sides. ŸP,ŸZ ŸQ,ŸW ŸR,ŸX ŸS,ŸY

  8. Are the figures named correctly? yes

  9. Are the figures named correctly? yes

  10. Are the figures named correctly? ABC ~EFG no C F E G A B

  11. Are the figures named correctly? yes SRQP ~ JKLM

  12. Are the figures named correctly? no ABCD ~ EHGF

  13. Scale factor • The scale factor is the simplified ratio of corresponding sides of a similar polygon

  14. Determine whether the polygons are similar…then state a similarity statement, and find the scale factor. yes „ABC~„FDE „ACB~„FED „BCA~„DEF „BAC~„DFE „CAB~„EFD „CBA~„EDF

  15. Determine whether the polygons are similar…then state a similarity statement. yes „ABC~„FDE „ACB~„FED „BCA~„DEF „BAC~„DFE „CAB~„EFD „CBA~„EDF

  16. What is the scale factor of ZWXY to FJHG ?

  17. What is the scale factor of QRST to ABCD?

  18. What is the scale factor of QRST to ZWXY ? Not similar

  19. Page 376 • # 3 - 8

  20. Use the scale factor to find the length of a side. Cross multiply 3(20) = 4x 60 = 4x 15 = x

  21. Find x 6x = 4(12) 6x = 48 x = 8

  22. Find x x = 18

  23. Find x x = 24

  24. Find y y= 12

  25. Find the scale factor, then find the lengths of the sides, and the perimeter. P= 45 x P= 60 y 3x = 4(15) 3y = 4(21) 3x = 60 3y = 84 x = 20 y = 28

  26. Find the scale factor, then find the lengths of the sides, and the perimeter. x P= 100 P= 60 y z 5y = 3(20) 3(25) = 5x 5z = 3(20) 5y = 60 5z = 60 75 = 5x y = 12 z = 12 15 = x

  27. Worksheet

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